Patent Publication Number: US-2018031815-A1

Title: Catadioptric projection objective with parallel, offset optical axes

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     The present application is a continuation of U.S. patent application Ser. No. 14/677,089, filed Apr. 2, 2015, which is a continuation of U.S. patent application Ser. No. 14/317,327, filed Jun. 27, 2014, which is a continuation of U.S. patent application Ser. No. 13/495,763, filed Jun. 13, 2012, now U.S. Pat. No. 8,804,234, which is a continuation of U.S. patent application Ser. No. 13/153,544, filed Jun. 6, 2011, now U.S. Pat. No. 8,289,619, which is a continuation of U.S. patent application Ser. No. 12/817,628, filed Jun. 17, 2010, now U.S. Pat. No. 8,339,701, which is a continuation of U.S. patent application Ser. No. 12/100,233, filed Apr. 9, 2008, now U.S. Pat. No. 7,869,122, which is a divisional of U.S. patent application Ser. No. 11/035,103, filed Jan. 14, 2005, now U.S. Pat. No. 7,385,756, which claims priority benefit to U.S. Provisional 60/536,248 filed Jan. 14, 2004; U.S. Provisional 60/587,504 filed Jul. 14, 2004; U.S. Provisional 60/612,823 filed Sep. 24, 2004; U.S. Provisional 60/617,674 filed Oct. 13, 2004. The disclosures of all of these Provisional applications and of U.S. patent application Ser. Nos. 11/035,103, 12/100,233, 12/817,628, 13/153,544, 13/495,763 and 14/317,327 are incorporated into this application by reference. 
    
    
     BACKGROUND OF THE INVENTION 
     Field of the Invention 
     The invention relates to a catadioptric projection objective for imaging a pattern arranged in an object plane onto an image plane. 
     Description of the Related Art 
     Projection objectives of that type are employed on projection exposure systems, in particular wafer scanners or wafer steppers, used for fabricating semiconductor devices and other types of microdevices and serve to project patterns on photomasks or reticles, hereinafter referred to generically as “masks” or “reticles,” onto an object having a photosensitive coating with ultrahigh resolution on a reduced scale. 
     In order create even finer structures, it is sought to both increase the image-end numerical aperture (NA) of the projection objective to be involved and employ shorter wavelengths, preferably ultraviolet light with wavelengths less than about 260 nm. 
     However, there are very few materials, in particular, synthetic quartz glass and crystalline fluorides, that are sufficiently transparent in that wavelength region available for fabricating the optical elements required. Since the Abbé numbers of those materials that are available lie rather close to one another, it is difficult to provide purely refractive systems that are sufficiently well color-corrected (corrected for chromatic aberrations). 
     In view of the aforementioned problems, catadioptric systems that combine refracting and reflecting elements, i.e., in particular, lenses and mirrors, are primarily employed for configuring high-resolution projection objectives of the aforementioned type. 
     The high prices of the materials involved and limited availability of crystalline calcium fluoride in sizes large enough for fabricating large lenses represent problems, particularly in the field of microlithography at 157 nm for very large numerical apertures, NA, of, for example, NA=0.80 and larger. Measures that will allow reducing the number and sizes of lenses employed and simultaneously contribute to maintaining, or even improving, imaging fidelity are thus desired. 
     Catadioptric projection objectives having at least two concave mirrors have been proposed to provide systems with good color correction and moderate lens mass requirements. The U.S. Pat. No. 6,600,608 B1 discloses a catadioptric projection objective having a first, purely refractive objective part for imaging a pattern arranged in the object plane of the projection objective into a first intermediate image, a second objective part for imaging the first intermediate image into a second intermediate image and a third objective part for imaging the second intermediate image directly, that is without a further intermediate image, onto the image plane. The second objective part is a catadioptric objective part having a first concave mirror with a central bore and a second concave mirror with a central bore, the concave mirrors having the mirror faces facing each other and defining an intermirror space or catadioptric cavity in between. The first intermediate image is formed within the central bore of the concave mirror next to the object plane, whereas the second intermediate image is formed within the central bore of the concave mirror next to the object plane. The objective has axial symmetry and provides good color correction axially and laterally. However, since the reflecting surfaces of the concave mirrors are interrupted at the bores, the pupil of the system is obscured. 
     The Patent EP 1 069 448 B1 discloses another catadioptric projection objective having two concave mirrors facing each other. The concave mirrors are part of a first catadioptric objective part imaging the object onto an intermediate image positioned adjacent to a concave mirror. This is the only intermediate image, which is imaged to the image plane by a second, purely refractive objective part. The object as well as the image of the catadioptric imaging system are positioned outside the intermirror space defined by the mirrors facing each other. Similar systems having two concave mirrors, a common straight optical axis and one intermediate image formed by a catadioptric imaging system and positioned besides one of the concave mirrors are disclosed in Japanese patent application JP 2002208551 A and US patent application US 2002/00241 A1. 
     European patent application EP 1 336 887 (corresponding to US 2004/0130806 A1) discloses catadioptric projection objectives having one common straight optical axis and, in that sequence, a first catadioptric objective part for creating a first intermediate image, a second catadioptric objective part for creating a second intermediate image from the first intermediate image, and a refractive third objective part forming the image from the second intermediate image. Each catadioptric system has two concave mirrors facing each other. The intermediate images lie outside the intermirror spaces defined by the concave mirrors. Concave mirrors are positioned optically near to pupil surfaces closer to pupil surfaces than to the intermediate images of the projection objectives. 
     In the article “Nikon Projection Lens Update” by T. Matsuyama, T. Ishiyama and Y. Ohmura, presented by B. W. Smith in: Optical Micro lithography XVII, Proc. of SPIE 5377.65 (2004) a design example of a catadioptric projection lens is shown, which is a combination of a conventional dioptric DUV system and a 6-mirror EUV catoptric system inserted between lens groups of the DUV system. A first intermediate image is formed behind the third mirror of the catoptric (purely reflective) group upstream of a convex mirror. The second intermediate image is formed by a purely reflective (catoptric) second objective part. The third objective part is purely refractive featuring negative refractive power at a waist of minimum beam diameter within the third objective part for Petzval sum correction. 
     Japanese patent application JP 2003114387 A and international patent application WO 01/55767 A disclose catadioptric projection objectives having one common straight optical axis, a first catadioptric objective part for forming an intermediate image and a second catadioptric objective part for imaging the intermediate image onto the image plane of this system. Concave and convex mirrors are used in combination. 
     US provisional application with Ser. No. 60/511,673 filed on Oct. 17, 2003 by the applicant discloses catadioptric projection objectives having very high NA and suitable for immersion lithography at NA&gt;1. In preferred embodiments, exactly three intermediate images are created. A cross-shaped embodiment has a first, refractive objective part creating a first intermediate image from the object, a second, catadioptric objective part for creating a second intermediate image from the first object, a third, catadioptric objective part for creating a third intermediate image from the second intermediate image and a fourth, refractive objective part for imaging the third intermediate image onto the image plane. The catadioptric objective parts each have one concave mirror, and planar folding mirrors are associated therewith. The concave mirrors are facing each other with the concave mirror surfaces. The folding mirrors are arranged in the middle or the intermirror space defined by the concave mirrors. The concave mirrors may be coaxial and the optical axes of the catadioptric parts may be perpendicular or at an angle with respect to the optical axis defined in the refractive imaging systems. 
     The full disclosure of the documents mentioned above is incorporated into this application by reference. 
     The article “Camera view finder using tilted concave mirror erecting elements” by D. DeJager, SPIE. Vol. 237 (1980) p. 292-298 discloses camera view finders comprising two concave mirrors as elements of a 1:1 telescopic erecting relay system. The system is designed to image an object at infinity into a real image, which is erect and can be viewed through an eyepiece. Separate optical axes of refractive system parts upstream and downstream of the catoptric relay system are parallel offset to each other. In order to build a system having concave mirrors facing each other mirrors must be tilted. The authors conclude that physically realizable systems of this type have poor image quality. International patent applications WO 92/05462 and WO 94/06047 and the article “Innovative Wide-Field Binocular Design” in OSA/SPIE Proceedings (1994) pages 389ff disclose catadioptric optical systems especially for binoculars and other viewing instruments designed as in-line system having a single, unfolded optical axis. Some embodiments have a first concave mirror having an object side mirror surface arranged on one side of the optical axis and a second concave mirror having a mirror surface facing the first mirror and arranged on the opposite side of the optical axis such that the surface curvatures of the concave mirrors define and intermirror space. A front refractive group forms a first intermediate image near the first mirror and a second intermediate image is formed outside of the space formed by the two facing mirrors. A narrow field being larger in a horizontal direction than in a vertical direction is arranged offset to the optical axis. The object side refractive group has a collimated input and the image side refractive group has a collimated output and entrance and exit pupils far from telecentric are formed. The pupil shape is semi-circular unlike pupil surfaces in lithographic projection lenses, which have to be circular and centered on the optical axis. 
     The PCT application WO 01/044682 A1 discloses catadioptric UV imaging systems for wafer inspection having one concave mirror designed as Mangin mirror. 
     SUMMARY OF THE INVENTION 
     It is one object of the invention to provide a catadioptric projection objective suitable for use in the vacuum ultraviolet (VUV) range having potential for very high image side numerical aperture which may be extended to values allowing immersion lithography at numerical apertures NA&gt;1. It is another object of the invention to provide catadioptric projection objectives that can be build with relatively small amounts of optical material. 
     As a solution to these and other objects the invention, according to one formulation, provides a catadioptric projection objective for imaging a pattern provided in an object plane of the projection objective onto an image plane of the projection objective comprising: 
     a first objective part for imaging the pattern provided in the object plane into a first intermediate image; 
     a second objective part for imaging the first intermediate image into a second intermediate image; 
     a third objective part for imaging the second intermediate image onto the image plane; 
     wherein a first concave mirror having a first continuous mirror surface and at least one second concave mirror having a second continuous mirror surface are arranged upstream of the second intermediate image; 
     pupil surfaces are formed between the object plane and the first intermediate image, between the first and the second intermediate image and between the second intermediate image and the image plane; and 
     all concave mirrors are arranged optically remote from a pupil surface. 
     In designs according to this aspect of the invention a circular pupil centered around the optical axis can be provided in a centered optical system. Two or more concave mirrors in the system parts contributing to forming the second intermediate image are provided, where the used area of the concave mirrors deviates significantly from an axial symmetric illumination. In preferred embodiments exactly two concave mirrors are provided and are sufficient for obtaining excellent imaging quality and very high numerical aperture. Systems having one common unfolded (straight) optical axis can be provided which facilitate manufacturing, adjustment and integration into photolithographic exposure systems. No planar folding mirrors are necessary. However, one ore more planar folding mirrors can be utilized to obtain more compact designs. 
     All concave mirrors are arranged “optically remote” from pupil surfaces which means that they are arranged outside an optical vicinity of a pupil surface. They may be arranged optically nearer to field surfaces than to pupil surfaces. Preferred positions optically remote from a pupil surface (i.e. outside an optical vicinity of a pupil surface) may be characterized by the ray height ratio H=h C /h M &gt;1, where h C  is the height of a chief ray and h M  is the height of a marginal ray of the imaging process. The marginal ray height h M  is the height of a marginal ray running from an inner field point (closest to the optical axis) to the edge of an aperture stop, whereas the chief ray height h C  is the height of a chief ray running from an outermost field point (farthest away from the optical axis) parallel to or at small angle with respect to the optical axis and intersecting the optical axis at a pupil surface position where an aperture stop may be positioned. With other words: all concave mirrors are in positions where the chief ray height exceeds the marginal ray height. 
     A position “optically remote” from a pupil surface is a position where the cross sectional shape of the light beam deviates significantly from the circular shape found in a pupil surface or in an immediate vicinity thereto. The term “light beam” as used here describes the bundle of all rays running from the object plane to the image plane. Mirror positions optically remote from a pupil surface may be defined as positions where the beam diameters of the light beam in mutually perpendicular directions orthogonal to the propagation direction of the light beam deviate by more than 50% or 100% from each other. In other words, illuminated areas on the concave mirrors may have a shape having a form strongly deviating from a circle and similar to a high aspect ratio rectangle corresponding to a preferred field shape in lithographic projection objectives for wafer scanners. Therefore, small concave mirrors having a compact rectangular or near rectangular shape significantly smaller in one direction than in the other may be used. A high aperture light beam can therefore be guided through the system without vignetting at mirror edges. 
     Wherever the terms “upstream” or “downstream” are used in this specification these terms refer to relative positions along the optical path of a light beam running from the object plane to the image plane of the projection objective. Therefore, a position upstream of the second intermediate image is a position optically between the object plane and the second intermediate image. 
     According to another aspect of the invention there is provided a catadioptric projection objective for imaging a pattern provided in an objective plane of the projection objective onto an image plane of the projection objective comprising: 
     a first objective part for imaging the pattern provided in the object plane into a first intermediate image; 
     a second objective part for imaging the first intermediate image into a second intermediate image; 
     a third objective part for imaging the second intermediate image onto the image plane; 
     wherein the second objective part includes a first concave mirror having a first continuous mirror surface and a second concave mirror having a second continuous mirror surface, the concave mirror surfaces of the concave mirrors facing each other and defining an intermirror space; 
     wherein at least the first intermediate image is located geometrically within the intermirror space between the first concave mirror and the second concave mirror. 
     In this specification the term “intermediate image” generally refers to a “paraxial intermediate image” formed by a perfect optical system and located in a plane optically conjugated to the object plane. Therefore, wherever reference is made to a location or position of an intermediate image, the axial location of this plane optically conjugated to the object plane is meant. 
     The above aspect of invention may be understood more clearly based on the following general considereations. 
     As Jan Hoogland has pointed out in some publications, the most difficult requirement that you can ask of any optical design is that it have a flat image, especially if it is an all-refractive design. Providing a flat image requires opposing lens powers and that leads to stronger lenses, more system length, larger system glass mass, and larger higher-order image aberrations that result from the stronger lens curves. 
     By contrast to this, allowing a system to have a curved image automatically leads to low lens powers, weaker curves, a more compact design with much less glass mass, and much smaller higher-order image aberrations. 
     Shafer has shown a lens design with a curved image that only uses positive lenses (and no aspherics) and has very good performance. A group of 4 or 5 weak positive lenses in front can provide correction of spherical aberration and coma, and a thick positive immersion lens can provide astigmatism correction. The image is quite curved. 
     However, a flat image is essential for lithography. Therefore the question then becomes how to provide this with the least disturbance of the good properties that result when a curved image is allowed. 
     Some classical lens types like the Cooke Triplet and the Double-Gauss designs achieve a flat image by putting strong negative power in the middle of the design. But that completely destroys all the benefits that were just listed of having a curved image, and the lens powers have to be strong and the curves lead to bad higher-order aberrations. 
     A much better solution is provided by the classical field-flattened Petzval lens design, where a strong negative lens is placed just in front of the image, the closer the better. This negative lens, at the very end of the design, then provides all the image flattening means of the design and the rest of the design has weak curves, low lens powers, small glass volume, etc. In addition, the aberration correction performance is extremely high. That is why this design form was used for the extremely high resolution aerial reconnaissance lenses of the 1960&#39;s. 
     However, this great design cannot be used in lithography since putting a strong negative lens right before the image leads to an exit pupil location that is very far from telecentric. And a telecentric exit pupil is always required in lithography. 
     Possibly the only way a field-flattened Petzval lens can be given a telecentric exit pupil is to move the aperture stop very far out in front of the design, far away from where it wants to be for good higher-order aberration correction. By contrast some other design types, like the Double-Gauss, can be modified to have a telecentric exit pupil without too much change in the aperture stop position, compared to its preferred location. So because of this telecentric exit pupil requirement in lithography, one is forced to abandon the best design form and move to less desirable ones. 
     The invention considers these aspects and provides a good compromise solution. 
     One can keep all the many benefits of a curved image design if one can find some way to flatten the image, have a telecentric exit pupil, and yet keep the aperture stop close to where it most wants to be for good aberration correction. 
     What would be perfect is if a positive power lens could be given the opposite Petzval curvature to what it actually has. Such a “magic lens”, if it could exist, could then be placed right near the curved image of a curved image design. It would then flatten the image and would even help give a telecentric exit pupil while leaving the design&#39;s aperture stop where it wants to be. 
     A concave mirror is ideal for the problem. A concave mirror has positive power, like a positive lens, but the opposite sign of Petzval curvature. So a concave mirror placed right in front of the image could flatten the image of a curved image lens design, have positive power to help in providing a telecentric pupil, and have no color problems. 
     Unfortunately it also makes the resulting image be completely inaccessible, since it sends the light right back in the direction it came from. One solution might be to use the lens system far off-axis, and then it might be possible to have one or two reflections right near the image and have the final image “walk-off” the mirrors and lie clear outside of the incoming rays. But even a moment of study will show that this is impractical on the high-NA end of the design, or would lead to the main lens system (i.e. the image side focussing lens system) being used so far off-axis that it would have very poor performance. 
     The situation is much better on the other end of a lithographic design, with about 4× magnification, for example. Then the main refractive design does not have to be used off-axis as much before the low-NA image can be made to “walk-off” a mirror pair. By using two concave mirrors instead of one, the light keeps going in the same direction and the image is accessible. The best performance results occur when the main lens system is used with the least amount of off-axis use. But having the rays get through the concave mirror pair with no vignetting is helped by using the main lens system far off-axis. These are then incompatible goals. 
     In order to minimize vignetting problems and to make them insensitive on the system overall numerical aperture it is favorable to have intermediate images with low NA next to all positions where two ray bundels before and after a reflection lie geometrically separated, but next to each other. The clearance is then mainly determined by the field size and scales only very poorly with numerical aperture. This is important to reach real high NA catadioptric designs. 
     The best solution is to not have the two mirrors be between the main lens system and its low-N.A object end. That then avoids a large amount of off-axis use of the main lens in order to have no vignetting at the mirrors. The mirrors should be physically (not necessarily optically) on either side of the low-NA object. Then the main lens system can be used much closer to the optical axis. A less preferable solution is to have both mirrors be outside of the main system and its low NA end object. In either case, of the last two mentioned, there is a need to reimage the low NA object, since it is no longer the end of the complete system. 
     While reimaging the object to a first real intermediate image, the system magnification of this first relay system may be designed such that it is an enlarging system. This reduces more and more the NA at the intermediate image and thus relaxes the vignetting problem. The vignetting depends less and less on the system NA. 
     In a preferred design, there are two concave mirrors on either side (again, physically, not optically) of the low-NA object plane of the main lens system and the system is used as close to the axis as possible without mirror vignetting. Then either another refractive system or a catadioptric system, working e.g. at about 1× or 1.5× enlargement, is used to relay this buried object to another real image location. 
     Another solution, with both mirrors physically and optically outside of the low-NA object, gives the possibility of just these same two mirrors doing the re-imaging. But the requirement of a fairly large working distance and thick mirror substrates makes this not practical without vignetting problems that require using the main system far off-axis. So this other solution also benefits from using a separate 1× or 1.5× enlarging refractive or catadioptric relay system. 
     In all of these cases, a pair of concave mirrors is used to flatten the image of one or two refractive systems. No convex mirrors are used. The refractive systems can then have the benefits described of being curved image designs. 
     Designs according to preferred embodiments of the invention with just two reflecting surfaces, both concave, have several advantages compared with the prior art. 
     In contrast to prior art systems with central pupil obscuration designs according to some embodiments of the invention have small mirror sizes, no obscuration at all, no double or triple-pass lenses, and very effective field flattening of the system due to the strong mirror powers. In other embodiments, double- or triple-pass lenses may be present. 
     Embodiments according to the invention, which preferably have two refractive relay groups, may have about 3× or 4× reduction magnifycation from the refractive group near the wafer, i.e from the third objective part, (so only high N.A on one end) and the other refractive group (the first objective part) is low NA on both ends. As a result there is much less lens power needed and relatively few elements are needed to get the desired aberration correction. 
     Some prior art systems have been found to be limited NA systems. By contrast, preferred design according to the invention have no such difficulties and can handle very high NA values close to NA=1 or above, for immersion systems. Preferably, the two intermediate images both have low NA values and there is no problem with the mirrors interfering with each other&#39;s space at their rims. 
     It is to be noted that it is difficult to correct some useful designs according to the present invention for axial colour. However the lenses in preferred embodiments are small enough, and their powers weak enough, so that the axial color of the new design is at an acceptable value. 
     Other prior art high NA catadioptric systems for lithography, either require at least one convex mirror in the design, or have multiple mirrors and tend to give very long track length designs. The use of a convex mirror, in combination with a concave mirror and some lenses, can be the basis of a catadioptric design and can make it possible to have an unobscured design that does not have to be used too far off-axis to avoid vignetting. This is a characteristic of some prior patent designs which are in-line systems with no flat fold mirrors. The catadioptric part is on the reticle end of the system. There are at least two problems with such designs. One is that the first intermediate image after the reticle has to be clear of the concave mirror, and the light rays leaving the convex mirror tend to have relatively steep angles with respect to the optical axis in order to clear the edge of the concave mirror without vignetting. Some field lenses or field mirrors are then required to catch these rays and bend them back towards the optical axis and the main focusing lens group. These field lens or mirrors have to be quite large and strong in power to catch the rays and reimage the pupil towards the main focusing lens group. If they are field lenses, then they are large in diameter, have strong positive power, and result in an excess of glass volume in the design. In addition they have a lot of positive power and make further difficulties in correcting the Petzval curvature of the system. If, instead, field mirrors are used then they have to be quite large in diameter and it is difficult to configure them to avoid vignetting of the rays. They do, however, help with Petzval correction since they have the opposite sign from field lenses. The second problem with these kinds of system is that the convex mirror in the system has the wrong sign of Petzval curvature to help with image flattening. This then tends to lead to 4 or 6 mirror systems in order to find a way with several mirrors to provide the system with enough good Petzval correction from mostly concave mirrors so that this burden does not fall entirely on the main focusing lens group. 
     Preferred embodiments of the invention, by contrast, do not have any convex mirror and have some characteristics that allow it to work quite close to the optical axis without obscuration or vignetting. This then means that the intermediate image size is not so large and the field lenses in the design do not have to be too large. Since there is no convex mirror, but just two concave mirrors, the new design is quite simple compared to the multi-mirror systems of the prior art. Its two concave mirrors may provide just the right amount of Petzval correction for the lenses in the system, which may be almost all positive, and the resulting design has a relatively short track length, small size elements, small glass volume, very good aberration correction, and the capability of working with very high immersion NA values. 
     There are other particularly useful features specific to the new design according to the invention. As the NA value of the design is increased, it makes almost no difference to the sizes of the mirrors, or how close the design can work to the optical axis. All other in-line designs from the prior art have to keep working further and further off-axis, as the NA is increased, in order to avoid vignetting and obscuration. That leads to worse high-order aberrations, a drop in performance, and larger element sizes in the catadioptric part. The new design is quite unusual in not having that problem. 
     An alternative to embodiments having one common straight optical axis is provided by catadioptric designs which have at least one flat fold mirror. Then part of the optical path is folded, e.g. at 90 degrees to the optical axis, and then brought back and refolded back again so that the reticle and wafer are parallel. The input and output axis (i.e. object and image side part of the optical axis) may be co-axial, in some embodiments, or have a lateral off-set in some other embodiments. 
     Such designs can have just one powered mirror in the system, which is a concave mirror, and two flat fold mirrors. Some, designs, like the design disclosed in US provisional application with Ser. No. 60/511,673 filed on Oct. 17, 2003 by the applicant, have two concave mirrors and two flat fold mirrors. These folded designs can have many of the good properties of the new design according to the invention that is being discussed here. However, there may occur polarization problems with these fold mirrors and that makes the preferred embodiments, with no fold mirrors, very attractive. 
     In some embodiments there is at least one lens having a free entry surface and a free exit surface arranged within the intermirror space, wherein the lens is transited at least twice in the optical path between an intermediate image and a concave mirror or vice versa. Such mirror-related lens may have negative refractive power and may be designed as a meniscus lens having a sense of curvature similar to the concave mirror to which it is assigned. Color correction can be positively influenced this way. The lens may be designed as a truncated lens being arranged exclusively on the side of the optical axis where the associated concave mirror is situated. If a mirror-related lens is extended across the optical axis, the lens may be transited three times by the radiation, thus increasing optical effect without significantly increasing lens mass. One or both concave mirrors may have mirror-related lenses. 
     In some embodiments the first concave mirror and the second concave mirror are designed to have essentially the same or exactly the same curvature. This allows to manufacture the concave mirrors simultaneously from the same blank material such that firstly a mirror blank for the first and second concave mirror is manufactured and that, afterwards, the mirror blank is separated into two truncated mirrors used as the first and second concave mirror. Manufacturing can be facilitated and more cost effective this way. Likewise, lens material used for two similar truncated mirror-related lenses can be manufactured from one lens blank, which is shaped first and than separated into two truncated lenses. Systems having catadioptric subgroups which are designed identically or almost identically and which can be arranged symmetrically with respect to each other can be provided this way at reasonable costs for manufacturing. 
     In some embodiments at least one mirror surface of a concave mirror is aspheric. In some embodiments, concave surfaces of both concave mirrors are aspheric. Aspheric concave mirrors facilitate optical correction and allow to reduce lens mass. 
     In some embodiments it has been found useful to have at least one lens arranged between an intermediate image and the associated concave mirror, wherein at least one surface of the lens is aspheric. The aspheric surface may be the surface facing the intermediate image. Field aberrations can be corrected effectively this way. 
     In some embodiments both concave mirrors have spherical mirror surfaces, thus facilitating manufacturing and improving optical performance. It has been found useful if the following condition is fulfilled: 1&lt;D/(|c 1 |+|c 2 |)·10 −4 &lt;6. Here, D is a maximum diameter of a lens element of the third objective part in [mm] and c 1  and c 2  are the curvatures of the concave mirrors in [mm −1 ]. If this condition is fulfilled, then there is an optimum balance between the positive power in the third imaging system and the Petzval correction due to the concave mirrors in the projection objective. This condition applies for both spherical and aspherical concave mirrors. 
     As the basic shape and, if applicable, the aspheric character of a concave mirror strongly influences optical performance, ways of manufacturing of concave mirrors are desired in order to produce high quality mirrors having defined optical properties. It has been found that relatively “flat” concave mirrors, i.e. concave mirrors having a relatively shallow depth on the concave side, can be manufactured with particularly high optical quality if the relation p max &lt;0.22R holds where p max =R−(R 2 −D 2 /4) 0.5 . In this relation, R is the curvature radius of the aspherical mirror surface and D is the diameter of the aspherical mirror. Preferably, the condition D≦1.3R or, more preferably, the condition D≦1.2R is fulfilled. Parameter p denotes the “sagitta” or “rising height” of a point on an optical surface. This parameter is sometimes also denoted SAG (for sagitta) in the literature. Sagitta p is a function of the height h, i.e. the radial distance from the optical axis, of the respective point 
     Generally it may be preferred from a manufacturing point of view to make the curvatures of the concave mirrors at the vertex of the mirror surface (vertex curvature) as similar as possible. If the vertex curvature radii of the first and second mirrors are denoted R 1  and R 2 , preferably the following condition holds: 0.8&lt;|R 1 /R 2 |&lt;1.2. 
     Some embodiments are designed such that the first intermediate image is located geometrically within the intermirror space whereas the second intermediate image is arranged outside the mirror space. The first and second objective parts can then be catadioptric objective parts, wherein the first concave mirror is part of the first objective part creating the first intermediate image, whereas the second concave mirror contributes to forming the second intermediate image from the first intermediate image by the second objective part. 
     A mirror group defined by the first and second concave mirrors facing each other can have a mirror group entry and a mirror group exit, each positioned next to the closest concave mirror closed to an edge of a concave mirror faced in the optical axis. Pupil surfaces of the projection objective can be arranged in the vicinity of the mirror group entry and the mirror group exit such that the mirror group performance a pupil imaging between the mirror group entry and the mirror group exit. The first and second concave mirror can then be disposed on one side of the optical axis. In other embodiments where field surfaces are in the vicinity of the mirror group entry and mirror group exit, the first and second concave mirror may be positioned at opposite sides of the optical axis. 
     According to another aspect of the invention a projection objective is provided having a first and at least one second concave mirror, wherein the first concave mirror has a first aspheric mirror surface and the second concave mirror has a second aspheric mirror surface, and wherein the first and second mirror surfaces have essentially the same aspheric shape. The aspheric shapes may be identical, i.e. may be described by identical aspheric constants and basic spherical radius. This aspect of the invention may be utilized in embodiments where all concave mirrors are arranged optically remote from the pupil surface, particularly where exactly two concave mirrors are used. However, the advantages may also be used in projection objectives where one or more concave mirrors are positioned in a pupil surface or optically near a pupil surface. If the first and second mirror surface have essentially the same or identical aspheric shape, manufacturing can be simplified since the aspheric shapes can be manufactured using essentially the same grinding and polishing steps or other steps for removing material from a spheric basic shape. Further, the testing process utilized during manufacturing of the aspheric surfaces can be organized cost-efficient since the same testing device for characterizing the aspheric shape can be used for testing more than one concave mirror surface. In that sense, the term “essentially the same aspheric shape” is to be understood to encompass aspheric surface shapes, which can be tested by the same optical testing device. If applicable, the surface shapes may be similar in that sense that the same optical testing device can be used, but with different working distance. 
     In one embodiment, the second objective part has two concave mirrors, each having an aspheric surface, wherein the first and second mirror surfaces have essentially the same aspheric shape. In one embodiment, the second objective part of this type is a catoptric objective part, i.e. consisting of only two concave mirrors having aspheric mirror surfaces which have essentially the same aspheric shape. Catadioptric second objective parts of this type are also possible. 
     According to another aspect, the invention provides a catadioptric projection objective having at least one concave mirror, where the mirror surface of the concave mirror has a parabolic shape. In an embodiment, two concave mirrors are provided, wherein at least one of the concave mirrors has a parabolic shape. Utilizing a parabolic mirror (i.e. a concave mirror where a meridian of the mirror is parabolic) has proven advantageous particularly with regard to testing the aspheric surface shape of the mirror. A parabolic mirror collects parallel incident light into one single focus, whereby parallel light rays impinging on the parabolic mirror surface are collected free of spherical aberration in one focal point. Parabolic mirrors of this type can easily be tested optically using comparatively simple optical testing devices designed for creating a test beam having a planar wave front. Optical testing devices with simple construction can be used, thereby making the testing of the aspheric mirror cost-effective. 
     Whereas optical properties are essential for obtaining the desired function of a projection objective, other factors related to the costs involved for manufacturing the optical system and/or factors influencing the overall size and shape of the optical system may be critical. Also, aspects of lens mounting and incorporation of lens manipulators must be considered. One class of embodiments is particularly advantageous in this respect in that projection objectives having a small number of lens elements, particularly in the first objective part, are provided. In one embodiment, the first objective part has positive lenses only. The term “lens” as used here is meant to designate optical elements having substantive refractive power. In that respect, a plate having essentially parallel plate surfaces is not a lens and may, therefore, be inserted in addition to the positive lenses. Using positive lenses only is enabling for providing axially compact first objective parts having relatively small maximum lens diameter. In one embodiment, the first objective part has only six lenses having substantial refractive power. One or more aspheric surfaces may be provided in the first objective part. By using suitable aspheric shapes of aspheric lens surfaces a compact design can be obtained. As a tendency, the first objective part can be designed more compact the more aspheric surfaces are used. In preferred embodiments a ratio between a number of lens element and a number of aspheric surfaces is less than 1.6. In one embodiment, a first lens element of the first objective part immediately following the object plane has an aspheric surface facing the object plane, wherein the aspheric surface is essentially flat having a local radius R of curvature where R&gt;300 mm at each point of the aspheric surface. Object side telecentricity and an effective correction of field aberration, such as distortion, can be obtained this way. 
     A compact shape of a dioptric system can also be facilitated if all negative lenses (i.e. lenses with substantial negative refractive power) are arranged optically remote from a pupil plane. With other words, negative lenses optically near a pupil plane should be avoided if a design is to be optimized in respect to a compact shape. 
     Aspheric surfaces provided on optical elements, such as lenses, mirrors and/or essentially planar faces of plates, prisms or the like can be utilized to improve both the correction status and the overall size and material consumption of an optical system. Optimum surface shapes of aspheric surfaces may be derived from theoretical considerations and/or numerical calculations. However, whether or not an optical system can be manufactured depends among other factors on the question whether or not an aspherical surface can actually be manufactured in the desired shape with the necessary optical quality. Feasibility studies of the inventors have shown some essential rules governing the use of aspheric surfaces in optical systems, particularly in high-resolution projection objectives suitable for microlithography. 
     According to one embodiment, the projection objective has at least one optical element having an aspherical surface with a surface shape free of inflection points in an optically used area of the aspheric surface. In a rotationally symmetric aspheric surface an “inflection point” is characterized as a point along a meridional direction where a sign change occurs in the local curvature of the aspherical surface. With other words, an inflection point is found geometrically between a locally convex surface region and a locally concave surface region of an aspheric surface. When a plurality of optical elements having at least one aspherical surface is provided, it is preferred that all aspheric surfaces have surface shapes which are free of inflection points. As a compromise, it may be useful to design a system such that at least 50% or 60% or 70% or 80% or 90% of the aspheric surfaces are free of inflection points. Avoiding inflection points on an aspheric surface has proven to improve the optical quality of the finished aspheric surface when compared to aspherical surfaces including inflection points. It is contemplated that the material removing effects of surface preparation tools can be made more uniform if inflection points are avoided. On the other hand, if a polishing tool is acting on a surface area including an inflection point, the material removing action of the tool on either side of the inflection point may differ considerably, thus leading to irregularities in the optical quality of the finished surface. 
     According to another aspect of the invention the projection objective includes a plurality of optical elements having at least one aspheric surface, wherein all aspheric surfaces have a surface shape free of extremal points outside the optical axis, wherein an extremal point is defined by the following equations: 
     
       
         
           
             
               
                 d 
                  
                 
                     
                 
                  
                 p 
               
               
                 d 
                  
                 
                     
                 
                  
                 h 
               
             
             = 
             
               
                 0 
                  
                 
                     
                 
                  
                 and 
                  
                 
                     
                 
                  
                 
                   
                     
                       d 
                       2 
                     
                      
                     p 
                   
                   
                     d 
                      
                     
                         
                     
                      
                     
                       h 
                       2 
                     
                   
                 
               
               ≠ 
               0. 
             
           
         
       
     
     In this equation, the parameter “p” represents a distance, measured parallel to the optical axis of an optical element, of a point at height h from the vertex of the surface (positioned on the optical axis) as explained in connection with the equation describing the mathematical description of the aspherical surfaces given above. The parameter p(h) is also denoted as “sagitta” or “rising height” of a point on an optical surface. Based on these considerations, an “extremal point” is a maximum or a minimum of the function p(h), respectively. Studies of the inventors have revealed that extremal points outside the optical axis (where h=0) may be critical during manufacturing of the aspherical surfaces since, in the region of extremal points, the material removing action of tools used for finishing may differ significantly from the action imposed on areas surrounding the extremal point, whereby non-uniform optical surface quality may result. 
     This condition should be obeyed in an area including the optically utilized area (defined by the optically used radius h opt ) but going beyond that area up to a maximum height h max &gt;h opt , where h max =h opt +OR and where OR is the radial width of an “overrun area” adjacent to the optically utilized area, where a rotary tool will be in contact with the optical surface when the periphery of the optically used area is polished. Typical widths of the overrun area are dependent on the tool dimensions and may be in the order of 5 mm to 15 mm. 
     Whereas extremal points on aspheric surfaces may be critical from a manufacturing point of view, extremal points may be desirable from an optical point of view to provide a desired change of refractive power of an aspheric surface in radial (meridonal) direction. As a compromise, it has been found advantageous that aspheric surfaces having at least one extremal point should be essentially flat cross the entire usable diameter. With other words, the basic shape of the aspherical surface having at least one extremal point should be a plane or should have only small deviations from a plane. In that respect, projection objectives are preferred with at least one aspheric surface having at least one extremal point, where the following condition holds for these aspheric surfaces: 
       | p ( h )|&lt; p   max , 
     where p max =0.5. More preferably, p max =0.25. 
     The preferred conditions for aspheric surfaces given above have been derived from feasibility studies performed on certain embodiments of this invention. However, the conditions may also be utilized on other types of optical systems having optical elements with aspheric surfaces. Therefore, these aspects of the invention are useful independent of other features of preferable embodiments of the invention. 
     According to another aspect of the invention the first objective part includes a concave mirror and at least one additional mirror having a curved mirror surface, where curved mirror surfaces of the concave mirror and the additional mirror are facing each other. In this embodiment two mirrors having curved mirror surfaces contribute to the formation of the first intermediate image. Preferably, first objective parts of this type are catadioptric, i.e. at least one lens ist provided in addition to the concave mirror and the additional mirror. The concave mirror and the additional mirror preferably share a common straight optical axis coinciding with the optical axes of the second and third objective part such that all objective parts share a common straight optical axis. 
     Preferably first objective parts of this type are designed as enlarging imaging system. In some embodiments the additional mirror is a convex mirror having a convex mirror surface compensating as at least partially the effect of the concave mirror of that objective part. Preferably, first objective parts of this type are combined with a second objective part including a first and a second concave mirror, the concave mirror surfaces of which are facing each other and define an intermirror space. Whereas typically the first intermediate image may be positioned outside that intermirror space in these embodiments, the second intermediate image may be positioned inside the intermirror space. Embodiments having at least three concave mirrors, preferably exactly three concave mirrors, distributed in two objective parts (first objective part and second objective part) may be designed such that all concave mirrors are arranged optically remote from a pupil surface. However, if desired, it is also possible that at least one concave mirror, particularly the concave mirror positioned in the first objective part, is positioned optically near a pupil surface. 
     In embodiments of this type the correction capabilities provided by concave mirrors can be advantageously distributed between two objective parts separated by an intermediate image, whereby a good balance and compensation between the correcting actions can be obtained. It is also possible to design the first and second objective part such that certain correction effects supported by concave mirrors are present twice in the optical path. The correcting means may, however, be arranged in optical positions where they have different optical effects since the heights of principal ray (chief ray) and marginal ray may be different for different concave mirrors in different objective parts. All advantages provided by in-line-arrangement of the optical elements (one common straight optical axis) can be preserved. 
     The previous and other properties can be seen not only in the claims but also in the description and the drawings, wherein individual characteristics may be used either alone or in sub-combinations as an embodiment of the invention and in other areas and may individually represent advantageous and patentable embodiments. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a longitudinally sectioned view of a first embodiment of a projection objective according to the invention; 
         FIG. 2  is a representation of an inner off-axis beam passing through the system of  FIG. 1 , 
         FIG. 3  is a representation of an outer off-axis beam passing through the system of  FIG. 1 ; 
         FIG. 4  is a longitudinally sectioned view of a second embodiment of a projection objective according to the invention; 
         FIG. 5, 6  are schematic diagrams showing footprints of beams on the concave mirrors of the embodiment shown in  FIG. 4 ; 
         FIGS. 7, 8 and 9  show variants of the embodiment of  FIG. 4  having different NA values and different positions of the aperture stop. 
         FIG. 10, 11  show a schematic representation and a lens section, respectively, of a third embodiment of a projection objective according to the invention; 
         FIG. 12, 13  show a schematic representation and a lens section, respectively, of a fourth embodiment of a projection objective according to the invention; 
         FIG. 14  shows a perspective view of the catadioptric objective part of the third embodiment to demonstrate the mirror geometry; 
         FIG. 15  shows a schematic representation of another embodiment having double-passed lenses between concave mirrors and an oblique field ( FIG. 15A ); 
         FIG. 16  shows a lens section through an embodiment constructed according to  FIG. 15 ; 
         FIG. 17  shows a lens section of another embodiment constructed according to the principles shown in  FIG. 15 ; 
         FIG. 18  shows a schematic representation of an embodiment having triple-passed lenses between the concave mirrors; 
         FIG. 19  shows a lens section of an embodiment constructed according to the principles shown in  FIG. 18 ; 
         FIG. 20  shows a lens section through an embodiment having a mirror-related lens close to one of the concave mirrors; 
         FIG. 21  shows a lens section through another embodiment of a projection objective according to the invention; 
         FIG. 22  shows a lens section of another embodiment of a projection objective according to the invention having similar, shallow concave mirrors; 
         FIG. 23  shows a lens section of another embodiment of a projection objective according to the invention having similar, shallow concave mirrors; 
         FIG. 24  shows a diagram for defining the plunging depth of a concave mirror; 
         FIG. 25  shows a lens section of another embodiment of a projection objective according to the invention having only one intermediate image in the intermirror space and pupil planes close to the entrance and exit of the mirror group; 
         FIG. 26  shows an enlarged view of a section of the embodiment shown in  FIG. 25  between the object plane and the first intermediate image; 
         FIG. 27  shows a lens section of an embodiment of the invention, where a catoptric second objective part has two concave mirrors having exactly the same aspheric shape; 
         FIG. 28  show a lens section of an embodiment having a catoptric second objective part, where the first concave mirror is designed as a parabolic mirror; 
         FIG. 29  is a schematic diagram showing a testing device for optically testing a parabolic mirror; 
         FIGS. 30-32  show embodiments of projection objectives having a compact first objective part having positive lenses only and different numbers of aspheric surfaces; 
         FIG. 33A  and  FIG. 33B  show schematic diagrams of a conventional aspheric surface having an inflection point; 
         FIG. 34  shows a lens section of an embodiment where all aspheric surfaces are free of inflection points; 
         FIG. 35  is a schematic diagram showing aspheric surfaces having extremal points; 
         FIG. 36  shows a lens section of an embodiment of a projection objective where problems due to the existence of extremal points are avoided; 
         FIG. 37  shows a lens section of another embodiment having a small number of aspheric surfaces; 
         FIG. 38  shows a lens section of another embodiment having a small number of aspheric surfaces; 
         FIG. 39  shows a lens section of an embodiment having a catadioptric first objective part including two curved mirrors and a catadioptric second objective part having two concave mirrors; and 
         FIG. 40  shows a lens section of another embodiment having a first objective part with two curved mirrors and a catadioptric second objective part having two concave mirrors; 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     In the following description of preferred embodiments of the invention, the term “optical axis” shall refer to a straight line or sequence of straight-line segments passing through the centers of curvature of the optical elements involved. The optical axis is folded by folding mirrors (deflecting mirrors) or other reflective surfaces. In the case of those examples presented here, the object involved is either a mask (reticle) bearing the pattern of an integrated circuit or some other pattern, for example, a grating pattern. In the examples presented here, the image of the object is projected onto a wafer serving as a substrate that is coated with a layer of photoresist, although other types of substrate, such as components of liquid-crystal displays or substrates for optical gratings, are also feasible. 
     Where tables are provided to disclose the specification of a design shown in a figure, the table or tables are designated by the same numbers as the respective figures. 
       FIG. 1  shows a first embodiment of a catadioptric projection lens  100  according to the invention designed for ca. 193 nm UV working wavelength. It is designed to project an image of a pattern on a reticle arranged in the object plane  101  into the image plane  102  on a reduced scale, for example, 4:1, while creating exactly two real intermediate images  103 ,  104 . A first refractive objective part  110  is designed for imaging the pattern in the object plane into the first intermediate image  103  at an enlarged scale, a second, catadioptric objective part  120  images the first intermediate image  103  into the second intermediate image  104  at a magnification close to 1:1, and a third, refractive objective part  130  images the second intermediate image  104  onto the image plane  102  with a strong reduction ratio. The second objective part  120  comprises a first concave mirror  121  having the concave mirror surface facing the object side, and a second concave mirror  122  having the concave mirror surface facing the image side. The mirror surfaces are both continuous or unbroken, i.e. they do not have a hole or bore. The mirror surfaces facing each other define a catadioptric cavity  125 , which is also denoted intermirror space  125 , enclosed by the curved surfaces defined by the concave mirrors. The intermediate images  103 ,  104  are both situated inside the catadioptric cavity  125 , at least the paraxial intermediate images being almost in the middle thereof well apart from the mirror surfaces. 
     Each mirror surface of a concave mirror defines a “curvature surface” or “surface of curvature” which is a mathematical surface extending beyond the edges of the physical mirror surface and containing the mirror surface. The first and second concave mirrors are parts of rotationally symmetric curvature surfaces having a common axis of rotational symmetry. 
     For improved clarity of the beam path through the optical system,  FIGS. 2 and 3  show two distinguished beam bundles originating from the off-axis object field. 
     The beam bundle in  FIG. 2  originates from an object point closest to the optical axis, whereas in  FIG. 3  the beam bundle originates from an object point farthest away from the optical axis. The situation of the intermediate images almost in the middle between the concave mirrors can be clearly seen in this representation. In  FIG. 2 , the shown positions of the intersections of the crossing light beams between the mirrors are close to the positions of the paraxial intermediate images. In contrast, in  FIG. 3  the shown positions or zones of the intersections of the crossing light beams between the mirrors are further offset from the positions of the paraxial intermediate images. 
     The system  100  is rotational symmetric and has one straight optical axis  105  common to all refractive and reflective optical components. There are no folding mirrors. The concave mirrors have small diameters allowing to bring them close together and rather close to the intermediate images lying in between. The concave mirrors are both constructed and illuminated as off-axis sections of axial symmetric surfaces. The light beam passes by the edges of the concave mirrors facing the optical axis without vignetting (compare e.g.  FIG. 4  or  FIGS. 7-9 ). 
     A maximum light beam height at the concave mirrors is almost the same as the maximum light beam height within the third objective part. Preferably, the maximum light beam height at the concave mirrors is less than the 1.5 fold or less than the 1.2 fold of the maximum light beam height within the third objective part. This allows constructions wherein all light beams within the projection objective are located within a space defined as a cylinder around the optical axis of said third objective part, extending from the object plane to the image plane and having a maximum radius of the 1.5 fold, preferably the 1.2 fold, of a maximum beam height within said third objective part. 
     The system has good lateral color correction, whereas axial color is not entirely corrected. In this embodiment, both concave mirrors are designed as Mangin mirrors. Each Mangin mirror consists of a negative meniscus lens with a mirrored convex surface. The undercorrected spherical aberration of the mirror is offset by the overcorrected spherical aberration of the negative lens. Both concave mirrors have very little refractive power. The concave mirrors may also be designed as simple mirrors (compare  FIG. 4 ). If they are simple mirrors (without meniscus lens), then the mass of transparent optical material is less but it may be necessary to cut the mirrors. 
     The projection objective is designed as an immersion lens. The correction status is about 9 milliwaves at 1.1 NA over a 26·5.0 mm 2  field. The field radius is 65 mm. No aspheric surfaces having a departure from a best fitting sphere (deformation) larger than 1.0 mm are necessary. A maximum diameter of 220 mm for the largest elements shows the potential for a low lens mass consumption. The design has 1160 mm track length (axial distance between object plane and image plane) and small glass mass. The last lens next to the image plane is made of calcium fluoride, for immersion. 
     This new design has very good lateral colour correction but none for axial colour. But the small lens sizes give it less axial colour than an all-refractive design of the same NA. The pupil aberration is well corrected and the chief rays are almost exactly telecentric on both ends. 
     The design with only two reflections and the small glass volume has no problem with obscuration, so the mirrors can be a good size—not so large—and their strong power provides almost all the Petzval correction of the system. In the embodiment the two intermediate images are almost exactly in the middle of the catadioptric cavity. 
     A modification not shown here has a first refractive objective part and a third refractive objective part quite similar to those disclosed in US provisional application with Ser. No. 60/511,673 filed on Oct. 17, 2003 by the applicant. The corresponding specification is incorporated by reference. 
     This basic design has potential to get by on even smaller amounts of optical material volume, especially if the Mangin mirrors have their glass removed. (Compare  FIG. 4 ). 
     In  FIG. 4  a second embodiment is shown. Features or feature groups identical or similar in structure and/or function to those in  FIG. 1  are denoted by similar numerals increased by 100. 
     The projection objective  200  is designed as an immersion lens for λ=193 nm having an image side numerical aperture NA=1.20 when used in conjunction with a high index immersion fluid, e.g. pure water, between the exit face of the objective and the image plane. The field size is 26-5.0 mm 2 . The specifications for this design are summarized in Table 4. The leftmost column lists the number of the refractive, reflective, or otherwise designated surface, the second column lists the radius, r, of that surface [mm], the third column lists the distance, d [mm], between that surface and the next surface, a parameter that is referred to as the “thickness” of the optical element, the fourth column lists the material employed for fabricating that optical element, and the fifth column lists the refractive index of the material employed for its fabrication. The sixth column lists the optically utilizable, clear, semi diameter [mm] of the optical component. A radius r=0 in a table designates a planar surface (having infinite radius). 
     In the case of this particular embodiment, twelve surfaces, namely surfaces 2, 3, 8, 12, 15, 16, 17, 19, 22, 30, 33 and 35 in table 4, are aspherical surfaces. Table 4A lists the associated data for those aspherical surfaces, from which the sagitta or rising height p(h) of their surface figures as a function of the height h may be computed employing the following equation: 
         p ( h )=[((1/ r ) h   2 )/(1+SQRT(1−(1+ K )(1/ r ) 2   h   2 ))]+ C 1· h   4   +C 2· h   6 + . . . ,
 
     where the reciprocal value (1/r) of the radius is the curvature of the surface in question at the surface vertex and h is the distance of a point thereon from the optical axis. The sagitta or rising height p(h) thus represents the distance of that point from the vertex of the surface in question, measured along the z-direction, i.e., along the optical axis. The constants K, C1, C2, etc., are listed in Table 4A. 
     Since the objective has 17 lenses, more than 50% or more than 60% of the lenses are aspheric lenses. 
     Like the embodiment of  FIG. 1 , there are no folding mirrors leaving a straight, unfolded optical axis common to all optical components. In contrast to the first embodiment, the two concave mirrors  221 ,  222  facing each other are simple mirrors instead of Mangin-mirrors, which allows to reduce the overall mass of the system. In order to demonstrate the path of the light transiting the catoptric (purely reflective) group  220 ,  FIGS. 5 and 6  show the “footprints” of the beams on the concave mirrors. In  FIG. 5 , footprints at the position of the first concave mirror  221  are shown. The lower group of elliptic lines represent beams reflected at the first concave mirror  221 , and the upper group of elliptic lines represent the beams coming from the second concave mirror  222  towards the second refractive part  230 . In  FIG. 6 , the footprints at the position of the second concave mirror  222  are shown. The lower part represents beams running from the first refractive part  210  to the first concave mirror  221 , whereas the upper elliptic lines represent the beams reflected at the second concave mirror  222  and running to the image plane. It can be seen that the used areas on the mirrors have simple contiguous shapes such that the mirrors may be fabricated, for example, as a rectangular mirror, which is easy to mount. 
     It is a characterizing feature that the overall cross sectional beam shape at a concave mirror deviates significantly from a circular shape found at pupil positions. The beam diameters in mutually perpendicular directions have a ratio of about 1:3 in this embodiment, where the diameter in scan direction y is less than 50% or 30% of the diameter in a cross scan direction x. The beam shape resembles the rectangular field shape indicating that the concave mirror is closer to a field surface than to a pupil surface, i.e. the concave mirror is positioned optically remote from a pupil surface. Small, narrow mirrors can therefore be used as concave mirrors. This facilitates guiding the light flux past the concave mirrors at one side without vignetting even when the numerical aperture is high. 
     Generally, in embodiments according to the invention, the size of the concave mirrors is not directly coupled to the numerical aperture such that very high values of NA, e.g. NA&gt;1.3 or NA&gt;1.4 can be obtained without unduly increasing the mirror size. 
     In  FIGS. 7 to 9  some beneficial variants of the second embodiment are shown. Features or feature groups identical or similar in structure and/or function to those in  FIG. 4  are denoted by similar numerals. All variants are designed as immersion lens for λ=193 nm having an image side numerical aperture NA≧1 when used in conjunction with a high index immersion fluid, e.g. pure water, between the exit face of the objective and the image plane. The field size is 26 mm-5.0 mm. Specifications are given in Tables 7 and 7A for  FIG. 7 , and in tables 8 and 8A for  FIG. 8  and for  FIG. 9 . The designs in  FIGS. 8 and 9  are the same, the difference lies in the position of the aperture stop A. 
     The variant of  FIG. 7  (NA=1.1) is characterized by the fact that the used areas on the concave mirrors are smaller than in the embodiment of  FIG. 4 . Consequently, the sizes of the rectangularly shaped concave mirrors may be further reduced. 
     The variant of  FIG. 8  (NA=1.15) is characterized by the fact that the aperture stop A is positioned in the third, purely refractive part  230  in the region of maximum beam diameter. By contrast, in the closely related variant in  FIG. 9  (NA=1.15) the aperture stop A is positioned in the first refractive objective part  210 . This demonstrates that the designs allow flexibility as to where the aperture stop can be placed. 
     The embodiments described above are characterized by a straight, unfolded optical axis common to all optical elements. A potential problem of such designs may be that the mounts provided for the concave mirrors may lead to a long track length or may interfere with the beam path. In the following, embodiments comprising at least one planar folding mirror are shown as design alternatives to obtain compact designs. 
     In  FIG. 10  a third embodiment is shown. Features or feature groups identical or similar in structure and/or function to those in  FIG. 1  are denoted by similar numerals increased by 200.  FIG. 11  represents a longitudinal sectional view of an embodiment designed on the basis depicted in  FIG. 10 . 
     The embodiment of a catadioptric projection objective  300  in  FIG. 10  is similar to some of the above mentioned embodiments in that it comprises a first, refractive objective part  310  for creating a first intermediate image  303 , a second, catoptric objective part  320  for creating a second intermediate image  304  from the first intermediate image, and a third, refractive objective part  330  for re-imaging the second intermediate image onto the image plane  302 . The second objective part may include at least one lens such that it becomes a catadioptric objective part. 
     In contrast to the embodiments shown above, the second objective part  320  includes four reflective surfaces, namely two planar folding mirrors  306 ,  307  and two concave mirrors  321 ,  322  facing each other. The concave mirror surfaces of these mirrors define a catoptric cavity  325  inside which the folding mirrors and the intermediate images are located. 
     The first folding mirror  306  located immediately near the first intermediate image  303  is arranged for reflecting the radiation coming from the object plane onto the first concave mirror  321 , which reflects the light directly, i.e. without intermediate image, to the second concave mirror  322 . Light reflected from the second concave mirror strikes the second folding mirror  307  which reflects the light to the object plane, thereby creating the second intermediate image immediately near the second folding mirror. In this construction, the concave mirrors and the mounts of these mirrors are situated outside the central main part running between object plane and image plane. The concave mirrors have a common optical axis  305 ′ which may be exactly or almost perpendicular to the object side and image side parts  305 ″ and  305 ′″ of the optical axis, which are laterally offset in this embodiment. Inclination angles of the folding mirrors with respect to the optical axis may be 45° or may deviate significantly therefrom, e.g. by up to 5 or 10 degrees. Therefore, inclination angles between 70° and 110° may occur between the common optical axis of the concave mirrors and the object and image side part of the optical axis. 
     Whereas the intermediate images are geometrically situated between the concave mirrors, it is to be noted that no intermediate image lies optically between the concave mirrors. This configuration allows for small spot diameters on the concave mirrors, which is advantageous for reducing the geometric light guidance value (etendue). A pupil plane  309  lies at a distance from both concave mirrors at the position where the chief ray  308  crosses the optical axis  305 ′ defined by the concave mirrors. An aperture stop may be positioned here. It may be beneficial if at least one of the concave mirrors has an aspheric reflecting surface having a curvature which decreases from the optical axis to the edge of the mirror in a radial direction. 
     The purely refractive first objective part  310 , which transforms the off axis object field into the first intermediate image, has a first lens group LG 11  with positive power and a second lens group LG 12  with a positive power. An aperture stop may be provided between these lens groups where the chief ray  308  crosses the optical axis. The catoptric objective part  320  images the first intermediate image into the second intermediate image and has a pupil plane between the concave mirrors. The purely refractive third objective part  330  has a first lens group LG 31  with positive power, and a second lens group LG 32  with a positive power. An position for an aperture A stop lies between LG 31  and LG 32 . 
       FIG. 12  shows a schematric representation of another projection objective  400  having two concave mirrors  421  and  422  and two intermediate images  403 ,  404 . Features or feature groups identical or similar in structure and/or function to those in  FIG. 10  are denoted by similar numerals increased by 100.  FIG. 13  represents a longitudinal sectional view of an embodiment designed on the basis depicted in  FIG. 12 . 
     In contrast to the embodiment shown in  FIGS. 10, 11 , the concave mirrors  421 ,  422  do not share a common straight optical axis. Instead, the optical axis of the concave mirror  421  corresponds to the optical axis  405  between object plane and image plane. The optical axis of the concave mirror  422  is nearly perpendicular to the optical axis  405 . The construction space for the mirror mounts lies outside the optical axis connecting object and image plane, which may be favorable. Note that the object side and the image side section of the optical axis are coaxial. As the concave mirrors both lie on one side of the optical axis  405 , the first and second folding mirror can be designed as one single planar mirror  406  with a mirror face facing the concave mirrors and used twice as the light passes through. Also, the two separate concave mirrors  421 ,  422  can be combined to form one single concave mirror which is used twice. 
       FIG. 14  shows a perspective view of the catoptric objective part of the third embodiment to demonstrate the mirror geometry. It can be seen that the folding mirrors and the concave mirrors can have geometrically simple shapes since the illuminated areas are of simple form and contiguous. The concave mirrors and the folding mirrors in this embodiment have rectangular shape which facilitates mounting. 
       FIG. 15  shows a schematic representation of another embodiment of a projection objective  500  having features improving optical performance and features facilitating manufacturing.  FIG. 16  shows a lens section of a projection objective designed according to the principles shown in  FIG. 15 . The specification of this embodiment is shown in tables 16 and 16A. Features or feature groups identical or similar in structure and/or function to those in  FIG. 1  are denoted by similar numerals, increased by 400. 
     The second objective part  520  which serves to image the first intermediate image  503  into the second intermediate image  504  includes a first concave mirror  521  and a second concave mirror  522  optically downstream of the first concave mirror  521 . The curvature surfaces of the first and second concave mirror have a common axis of rotational symmetry co-axial with the optical axis shared by all optical elements of the projection objective. The unbroken mirror surfaces used on the first and second concave mirror are on opposite sides of the optical axis  505 . A first mirror-related lens  551  is arranged optically between the first intermediate image  503  and the first concave mirror  521  immediately in front of the first concave mirror such that it is transited twice in the optical path between the first intermediate image and the first concave mirror and in the optical path between the first concave mirror and the second concave mirror. In order to avoid influencing the optical path between the second concave mirror and the image plane the first mirror-related lens  551  is designed as a truncated lens arranged outside the optical axis. A second mirror-related lens  552  is arranged immediately in front of the second concave mirror  522  such that is used twice in the optical path between the first and the second concave mirror and in the optical path between the second concave mirror and the image plane  502 . The lens  552  is truncated such that it does not extend into the optical path between the object plane  501  and the first concave mirror  521 . Both the first and second mirror related lenses  551 ,  552  are free standing lenses having free entrance and exit surfaces. Particularly, the lens surfaces facing the respective concave mirrors have curvatures different from the curvatures of the concave mirrors, which allows additional degrees of freedom when compared to the embodiments having Mangin mirrors (compare  FIG. 1 ). Both mirror-related lenses  551 ,  552  are designed as negative meniscus lenses having a sense of curvature similar to the curvature of the associated concave mirror, i.e. having a convex surface facing the concave mirror surface of the associated concave mirror. The negative refractive power arranged immediately in front of the concave mirrors serves to improve correction of the chromatic length aberration (CHL). All optically active surfaces of the second objective part are spherical, which greatly facilitates manufacturing and improves the optical performance. Particularly, stray light may be reduced when compared to embodiments having aspheric surfaces, particularly aspheric mirror surfaces. 
     The field having the shape of a high aspect ratio rectangle having a width a in cross-scan direction (x-direction) and a smaller width b in scan direction (y-direction) and arranged off-axis at a distance c from the optical axis is shown in  FIG. 15A . The immersion objective has image side numerical aperture NA=1.2 when used in conjunction with pure water as an immersion medium at 193 nm. The system is telecentric on the object and image side and essentially free of field zone aberrations. 
     In  FIG. 17  a lens section of a variant of a system according to the principles explained in connection with  FIG. 15  is shown. The specification of the 193 nm immersion lens having NA=1.2 is given in tables 17 and 17A. Features or feature groups identical or similar in structure and/or function to those in  FIG. 1  are denoted by similar numerals, increased by 500. The second objective part  620  has aspherical negative meniscus lenses  651 ,  652  immediately in front of the spherical concave mirrors  621 ,  622  and used twice in the light path to and from the respective concave mirrors. For the sake of simplicity, each group of optical elements consisting of a concave mirror  621 ,  622  and the associated lenses  651 ,  652  immediately ahead of the respective concave mirror is denoted as “catadioptric sub-group”. In the embodiment of  FIG. 17  the catadioptric sub-group  621 ,  651  and the catadioptric sub-group  622 ,  652  are designed identically and arranged symmetrically with respect to each other. Particularly, the radii of the optical surfaces, the axial distances or thicknesses of the optical surfaces and the diameters of the optical surfaces of the symmetry related lenses as well as the symmetry related concave mirrors are identical. This makes it possible that the lenses  651 ,  652  and the mirrors  621 ,  622 , respectively, may be manufactured simultaneously from the same blank material. Therefore, arrangements of the type exemplarily shown in  FIG. 17  allow for significant reduction in costs for material and manufacturing for the optical elements used in the second, catadioptric objective part. 
     In a corresponding method of manufacturing optical elements for an catadioptric or catoptric objective part of a projection lens having a first concave mirror and a second concave mirror designed as truncated mirrors the first and second mirrors are fabricated such that firstly a mirror blank for the first and second concave mirror is manufactured to obtain the desired concave shape of the mirror surface and secondly the shaped mirror blank is separated into two truncated mirrors used as first and second concave mirror. The mirror blank may be a single piece cut into two pieces after surface preparation. It is also possible to join two separate blank parts together, e.g. by wringing or cementing, prior to shaping the mirror surface. This allows easy separation after the surface preparation. The coating of the mirror substrate may be performed prior to or after separation of the mirror substrate parts. The mirror related lenses may be manufactured correspondingly. 
     A further difference to the embodiment shown in  FIG. 16  lies in the fact that at least one of the surfaces of the lenses  651 ,  652  close to the respective concave mirrors has aspheric shape. In the embodiment, each concave lens surface of the lenses  651 ,  652  is aspheric. The aspheric surfaces arranged closed to the respective intermediate images, which are field surfaces of this system, can be designed such that a strong influence on field dependent aberrations, like distortion on the object imaging or the spherical aberration of the pupil imaging, are influenced. Generally, it may be useful to have at least one lens arranged between an intermediate image and the associated concave mirror optically near the intermediate image (upstream or downstream of the intermediate image), wherein at least one surface of the lens arranged between the intermediate image and the concave mirror is aspheric. Particularly, the lens surface facing the intermediate image may be aspheric. 
     In an alternative embodiment the mirror related lenses, which are truncated lenses in the embodiments of  FIGS. 16 and 17 , are designed as full meniscus shaped negative lenses extending across the optical axis such that they are transited three times. Specifically, lens  652  (associated to the second concave mirror  622 ) may extend across the optical axis  605  such that light coming from the object plane transits this lens prior to forming the first intermediate image  603  and then, on the other side of the optical axis, in the optical path between first and second concave mirror and second concave mirror and image plane. Likewise, lens  651  associated to the first concave mirror  621  may extend across the optical axis such that the lens is used twice in the optical path to and from the first concave mirrors and a third time in the optical path between the second intermediate image  604  and the image plane. In this embodiment, two aspheric surfaces transited three times upstream and downstream of an intermediate image are provided, which facilitates optical correction. In addition, mounting of the lenses is improved when compared to the mounting of truncated lenses (compare  FIGS. 18 and 19 ). 
     In  FIG. 18  a schematic representation of a projection objective  700  having two lenses used three times in transmission is shown.  FIG. 19  shows an embodiment of this type, for which the specification is given in tables 19 and 19A. Features similar or identical to features described in detail in connection with  FIGS. 15 to 17  are designated with the same reference numbers, increased by 100 or 200, respectively. 
     The catadioptric second objective part  720  serves to image the first intermediate image  703  into the second intermediate image  704 . A first mirror related lens  751  is arranged optically between the first intermediate image  703  and the first concave mirror  721 , whereas, on the opposite side of the optical axis  705 , the second mirror related lens  752  is arranged optically between the second concave mirror  722  and the second intermediate image  704 . Both mirror-related lenses  751 ,  752  extend across the optical axis into the beam pass of light passing the respective concave mirrors  721 ,  722 . Particularly, the second mirror related lens  752  extends into the beam pass between the object plane  751  and the first concave mirror  721 , whereas the first mirror related lens  751  extends into the beam path into the second concave mirror  752  and the image plane. Therefore, each of the mirror-related lenses  751 ,  752  is optically used three times, whereby the optical effect of a lens can be maximized and, at the same time, the consumption of optical material can by minimized. In addition, mounting of the lenses  751 ,  752  is facilitated when compared to a mounting of truncated lenses. 
     The triply passed lenses  751 ,  752  may preferably be designed as multigrade lenses having a first lens zone associated with one side of the optical axis and transited twice in the optical path to and from the associated concave mirror and a second zone associated with the opposite side of the optical axis and transited once, where the first lens zone and the second lens zone have different lens surface curvature on at least one side of the lens such that the multigrade lens forms a pair of mutually independently acting lenses acting at a common location. A monolithic multigrade lens providing different optical powers on opposite sides of the optical axis may be fabricated from a single lens blank and can be mounted conventionally with a circular mount. The lens zones on either side of the optical axis may have different aspheric shape, where the aspheres are preferably based on the same spherical base shape to facilitate manufacturing. Note that the part of lens  752  closest to the first intermediate image and the part of lens  751  closest to the second intermediate image are both located close to field surfaces such that the lens surfaces are effective for correcting field aberrations, particularly if they are made aspheric. 
     In the embodiment shown in  FIG. 19 , both lenses  751 ,  752  with triple use are designed as negative meniscus lenses having a sense of curvature similar to the related concave mirrors and having weak negative refractive power. In other embodiments, the lenses may also be almost without optical power. In both cases, at least one lens surface may be aspheric in order to support optical correction. 
     In all embodiments the first, dioptric objective part serves to form the first intermediate image from a flat object field. The size and axial position of the first intermediate image as well as the aberrations associated with the first intermediate image are determined by the optical properties of the first objective part. Like in the embodiments shown above, the first objective part may be subdivided into a first lens group LG 11  having positive refractive power and the second lens group LG 12  having positive refractive power, wherein a pupil surface  711  of the system is disposed between the lens groups in an axial position where the chief ray  708  of the imaging intersects the optical axis. An aperture stop for determining the numerical aperture used in the imaging process may be provided in the vicinity of this pupil surface. However, in the embodiment shown in  FIGS. 18 and 19 , the aperture stop A is provided in the vicinity of a pupil surface optically conjugate to this pupil surface in the third, dioptric objective part. The second lens group LG 12  between the pupil surface  711  and the first intermediate image includes the negative meniscus lens  752  immediately upstream of the first intermediate image. 
     In the embodiment of  FIG. 19  the first lens group LG 11  consists of a positive meniscus lens  781  having an image side concave surface and weak optical power, a negative meniscus lens  782  having an image side concave surface and weak negative power, a positive meniscus lens  783  having an object side concave surface, a biconvex positive lens  784 , a positive meniscus lens  785  having an image side concave surface and a positive meniscus lens  786  having an image side concave surface immediately ahead of the pupil surface  711 . The second lens group LG 12  includes a meniscus shaped lens  787  having a strongly curved concave surface facing the object, a positive meniscus lens  788  having an object side concave surface and a biconvex positive lens  789  immediately behind, and the negative meniscus lens  752  which is integral part of the mirror related second lens. The meniscus lens  787  immediately following the pupil surface and having the concave surface facing the pupil and the object plane is particularly useful for correcting spherical aberration, astigmatism and image curvature in the first objective part. The optical correction is also positively influenced by a negative-positive-doublet formed by the negative meniscus lens  782  and the positive meniscus lens  783  arranged in the divergent beam section of the first lens group LG 11 . The negative meniscus lens having the concave exit surface optically close to the object plane is arranged in a region where the height of the chief ray is larger than the height of the marginal ray, whereby field aberrations, like distortion, can be effectively corrected. 
     The embodiment of a projection objective  800  shown in  FIG. 20  having a specification as given in tables 20 and 20A can be described as a variant of the embodiment shown in  FIG. 19 . Similar to that embodiment, a negative meniscus lens  851  is arranged immediately ahead of the first concave mirror  821 , the lens  851  being passed three times by the light beam. In contrast to the embodiment of  FIG. 19 , lens  851  is the only lens passed three times by the light beam. There is no negative refractive power or positive refractive power immediately in front of the second concave mirror  822 . Therefore, the mass of transparent optical material required for the catadioptric objective part is smaller than in the embodiment shown in  FIG. 19 . The first objective part has magnifycation |β 1 |≈1.9. 
     In  FIG. 21  another embodiment of a projection objective  900  is shown which is generally designed according to the principles explained in detail in connection with  FIG. 15 . The specification is given in tables 21 and 21A. Reference numerals are similar, but increased by 400. Particularly, to each concave mirror  921 ,  922  is as signed a negative meniscus lens  951 ,  952  immediately in front of the concave mirror optically between the respective concave mirror and an intermediate image upstream or downstream of the concave mirror. Each negative meniscus lens  951 ,  952  is designed as a truncated lens arranged only at the side of the optical axis where the associated concave mirror is positioned. Therefore, the mirror-related lens is passed twice by the light. The first objective part  910  can be subdivided into two lens groups, lens group LG 11  being arranged between the object plane and the pupil plane  911 , whereas lens group LG 12  is arranged between the pupil plane and the first intermediate image  903 . Like in the embodiment shown in  FIG. 19 , the first lens group LG 11  includes a negative-positive-doublet  982 ,  983 , the negative meniscus  982  being arranged close to the object plane and having a concave exit side facing the image plane. The positive refractive power following this negative lens is split into two positive meniscus lenses, each having a concave side facing the object. A meniscus lens  987  having a strongly curved concave entrance side facing the object is arranged immediately downstream of the pupil plane  911 . Optically, this lens is useful for correcting spherical aberration, astigmatism and image curvature in the first objective part. 
     The third objective part  930  is composed of a first lens group LG 31  between the second intermediate image  904  and the aperture stop A, and the second lens group LG 32  between the aperture stop A and the image plane. The aperture stop is arranged between the region of largest beam diameter of the third objective part and the image plane. The biconvex positive lens  996  immediately following the aperture stop A is a biaspherical lens having both the entrance side and the exit side being aspheric surfaces. The aspheric surfaces in close vicinity to each other and arranged in the convergent beam path immediately upstream of the image plane have a strong influence on aberration correction. Particularly, higher orders of spherical aberration and coma are positively influenced. There is only one negative lens  991  arranged in the third objective part. The biconvex negative lens  991  defines a shallow waist in the beam path of the third objective part. All lenses downstream of negative lens  991  are positive lenses. Avoiding negative lenses in the region of increasing and large beam diameters of the third objective part allows to keep the beam diameter small, thus decreasing the demand of optical material used for the lenses of the third objective part. 
     Both concave mirrors  921 ,  922  have spherical mirror surfaces, thus facilitating manufacturing and improving optical performance. If D is a maximum diameter of a lens element of the third objective part in [mm] and c 1  and c 2  are the curvatures of the concave mirrors  921 ,  922  in [mm −1 ], then the following condition is fulfilled by the embodiment of  FIG. 21 : 1&lt;D/(|c 1 |+|c 2 |)·10 −4 &lt;6. The curvature c is the reciprocal of the curvature radius at the vertex. If this condition is fulfilled, then a good balance between Petzval correction and positive power in the third objective part can be obtained. 
       FIG. 22  shows a variant of a projection objective  1000  having a general construction similar to that of the embodiment shown in  FIG. 4 , i.e. having a second objective part  1020  consisting of two concave mirrors  1021 ,  1022  and having no refractive optical elements. Reference numerals for similar features/feature groups are similar, increased by 800. The specification is given in tables 22 and 22A. The first, dioptric objective part  1010  for creating the first intermediate image  1003  is subdivided into a first lens group LG 11  between object plane and pupil plane  1011  and a second lens group LG 12  between the pupil plane and the first intermediate image. The first lens group LG 11  starts with the biconvex positive lens  1081 , followed by a negative meniscus lens  1082  having an image side concave surface and a biconvex positive lens  1083 . Particularly high incidence angles occur at the concave exit side of the negative meniscus lens  1082 , which is arranged in a region where the light beam is slightly divergent. The high incidence angles have strong correcting influence. The sequence positive-negative-positive provided by lenses  1081 ,  1082 ,  1083  has been found to be useful. Therefore, it may be preferable if the first objective part creating the first intermediate image includes at least one concave surface facing the image, which is preferably included in a sequence of positive-negative-positive lenses. 
       FIG. 23  shows another embodiment of a projection objective  1100  generally designed in accordance of the principles explained in connection with the  FIG. 4 . The specification is given in tables 23 and 23A. The second objective part  1120  is purely reflective, thus requiring no transparent optical material. Some aspects regarding features facilitating manufacturing will now be explained in connection with this embodiment and with  FIG. 24 . They may, however, be implemented in other embodiments. Both concave mirrors  1121 ,  1122  have similar surfaces, which facilitates manufacturing and improves optical performance. Generally, the shape of a concave mirror has a strong influence on certain aberrations. Particularly, the image curvature (Petzval curvature) is influenced by the vertex curvature of the mirror. If an aspherical mirror surface is used, the basic data of the aspheric surface define certain field dependent aberrations, particularly the spherical aberration of the pupil, which is proportional to y 4 , where y is the beam height at the concave mirror. Both factors influencing the shape of the mirror surface are deeply rooted in the optical design and are dependent from one another. Particularly, the second factor regarding the type of asphere is strongly influenced by the first factor (basic curvature), since, for example, a strong curvature of the concave mirror will induce strong field dependent aberrations. 
     Certain crucial factors influencing a good compromise between manufacturability and optical performance of concave mirrors have been identified. One disruptive factor resulting from manufacturing of a concave mirror is the depth up to which a tool must plunge into the material of the mirror substrate in order to create the concave mirror surface. This plunging depth is denoted “p max ” in connection with  FIG. 24 . The maximum sagitta or rising height at the edge of a mirror may be defined as the axial separation of a plane normal to the optical axis and touching the edge of the concave mirror to a plane parallel thereto and touching the vertex of the concave mirror. As schematically shown in  FIG. 24 , p max  is dependent on the curvature radius R of the aspherical mirror surface, and the diameter D of the aspherical mirror. In a first approximation (for aspherical form) p max  is given by: p max =R−(R 2 −D 2 /4) 0.5 . Since the basic shape of the mirror cannot be altered without strongly influencing the optical effect, only the diameter of the mirror surface can be used as a free parameter to influence manufacturability. When considering manufacturing, the grinding of the mirror substrate necessary to define the basic shape of the mirror substrate prior to polishing is particularly addressed. It has been found that it is preferable if the condition D≦1.3R is fulfilled and that it may be more preferable if the condition D≦1.2R is fulfilled such that also the condition: p max &lt;0.22R is fulfilled. Manufacturing is also facilitated if the radii of curvature at the vertex of the curved mirror surfaces for two mirrors are as similar as possible. If R 1  is the vertex radius of curvature of a first mirror and R 2  is the vertex radius of curvature of the second mirror, it is preferable that the following condition is fulfilled: 0.8&lt;|R 1 /R 2 |&lt;1.2. In the embodiment shown in  FIG. 23  this condition and the two following conditions are fulfilled: p max ≦0.22R and D≦1.3R. It may be sufficient if, in addition to the condition regarding the relation of curvature radii one of the latter conditions is fulfilled. 
     In the embodiment shown in  FIG. 23  the curvatures of the mirrors  1121 ,  1122  are almost identical (curvature radii differ within less than 1%) and the aspheric shapes are almost identical. The mirrors  1121 ,  1122  are the only optical elements of the second objective part, thus making this part a catoptic part. The maximum diameter of optical elements of the second objective part  1120  is smaller or almost equal to the maximum diameter of lenses in the third objective part. This facilitates implementation of the axial symmetric projection objective into a wafer stepper or a wafer scanner. Although the aperture stop A is provided in the third objective part, it may also be provided in the first objective part in the vicinity of the pupil surface  1111  thereof. 
     In  FIG. 25  another embodiment of a projection objective  1200  is shown.  FIG. 26  shows a detailed view of a section between the object plane  1201  and the second intermediate image  1204  which is the object of a purely refractive objective part  1230  for imaging the second intermediate image onto the image plane  1290  at a reduced scale of about 1:4. 
     The entire projection objective  1200  designed to image an object disposed in the object plane  1201  onto the image plane  1202  at a reduced scale consists of three objective parts  1210 ,  1220 ,  1230 , each designed to image a field plane upstream of the objective part into field plane downstream of the objective part. The first objective part  1210  consists of four consecutive lenses  1211 ,  1212 ,  1213  and  1214  followed by the first concave mirror  1221  immediately upstream of the first intermediate image  1203 . Therefore, the first objective part is catadioptric. The second objective part  1220  is also catadioptric, including the second concave mirror  1222  immediately downstream of the first intermediate image  1203  and positive lenses  1226 ,  1227 ,  1228 ,  1229 , all effective for refocusing the first intermediate image  1203  into the second intermediate image  1204 . The third objective part  1230  is purely refractive and includes the freely accessible aperture stop A of the system. 
     In contrast to the embodiments shown above, only the first intermediate image  1203  is positioned in the intermirror space defined by the concave mirrors  1221 ,  1222 , whereas the second intermediate image  1204  lies outside of this intermirror space. The mirror group defined by the two concave mirrors  1221 ,  1222  facing each other has a mirror group entry and a mirror group exit. At the mirror group entry positioned geometrically next to the edge of the second mirror  1222  facing the optical axis  1205  radiation coming from the object side enters the intermirror space and at the mirror group exit positioned geometrically next to the edge of the first mirror  1221  facing the optical axis the radiation exits the intermirror space after the reflections on the concave mirrors. It is a characterizing feature of this embodiment that a first pupil surface PS 1  of the projection objective lies in the vicinity of the mirror group entry and a second pupil surface PS 2  lies in the vicinity of the mirror group exit. In contrast, in most other embodiments, for example those shown in  FIGS. 1 to 4, 7 to 14 , the entry of the mirror group and the exit of the mirror group are optically close to the intermediate images, which are field surfaces of the projection lens. Also, in the embodiments mentioned above the radiation reflected from the first concave mirror crosses the optical axis prior to impinging on the second concave mirror which effectively leaves the footprints of the radiation on the reflecting surfaces of the concave mirrors at opposite sides of the optical axis. In contrast, in the embodiment shown in  FIGS. 25 and 26 , first and second concave mirrors  1221 ,  1222  are disposed on the same side of the optical axis. Due to this difference the optical path within the space defined by the concave mirrors has almost point symmetry with respect to a symmetry point arranged midways between the vertices of the concave mirrors in the embodiments mentioned above, whereas the optical path is almost mirror-symmetric with respect to a mirror plane perpendicular to the optical axis and arranged midways between vertices of the concave mirrors in the embodiment of  FIGS. 25, 26 . 
     Optically, embodiments designed essentially according to the principles of the embodiment shown in  FIGS. 25, 26  can be advantageous if it is desired to influence field aberrations by the action of lenses close to field planes since one of the field planes between object plane  1201  and image plane  1202 , namely the field surface of the second intermediate image  1204  is arranged freely accessible at a distance outside the intermirror space defined by the concave mirrors  1221 ,  1222 . As shown in  FIG. 25 , two field lenses  1229 ,  1235  are arranged close to the second intermediate image  1204  immediately upstream ( 1229 ) and immediately downstream ( 1235 ) of this intermediate image, thus forming a field lens group for aberration correction. 
     The first and second objective parts  1210 ,  1220  are effective to form an intermediate image  1204  at a distance from the mirror group defined by the concave mirrors  1221 ,  1222  geometrically behind this mirror group. Since a pupil surface PS 2  is arranged in the vicinity of the exit of the mirror group, a group of lenses  1226  to  1228  acting in combination as a Fourier-transforming lens group can be used to position and define the characteristics of the intermediate image  1204 , which then is reimaged on the image plane  1202  by the third objective part  1230 . These properties make the sub-system formed by the first and second objective part  1210 ,  1220  useful as a relay system for linking light paths of optical systems ahead and downstream of the relay system together. Due to the action of the concave mirrors  1221 ,  1222  of the mirror group this relay system can be designed to have strong influence on the image curvature compensating at least partly the opposite influence of positive lenses upstream and downstream of the mirror group. 
       FIG. 27  shows a variant of a projection objective  1300  having a general construction similar to that of the embodiment shown in  FIG. 4 , i.e. having a second, catoptric objective part  1320  consisting of two concave mirrors  1321 ,  1322  and having no refractive optical element. Reference numerals for similar features/feature groups are similar as in  FIG. 4 , increased by 1100. The specification is given in tables 27, 27A. 
     The first, dioptric objective part  1310  for creating the first intermediate image  1303  has a first lens element  1312  immediately following the object surface  1301 , where the entrance surface of this first lens element is aspheric and convex to the object surface and an aperture stop A is provided in the first objective part in between lens groups each having positive refractive power. The concave mirrors  1321 ,  1322  of the catoptric second objective part  1320  each have an aspheric mirror surface. It is a characterizing feature of this design that the aspheric mirror surfaces of mirrors  1321 ,  1322  have identical aspheric shape. This allows to use exactly the same optical testing device for measuring the aspheric shape of both concave mirrors in the manufacturing process. As it can be seen from tables 27, 27A the radii of the concave mirrors (describing the basic shape of the mirror surface) and the aspheric constants (describing the aspherical deviation from the basic shape of surfaces  25 ,  26 ) are identical. In other embodiments the basic shape and the aspheric constants may vary slightly between the two concave mirror. Even in that case significant improvements relating to costs of the manufacturing process can be obtained if the mirror surfaces are shaped similar such that the same measuring optics can be used for testing both mirror surfaces. 
     The projection objective  1400 , a lens section of which is shown in  FIG. 28 , has a general construction similar to that on the embodiment shown in  FIG. 4 . 
     Therefore, reference numerals for similar features/feature groups are similar, increasing by 1200. The specification is given in tables 28 and 28A. 
     A first, dioptric objective part  1410  including an aperture stop A is designed for creating a first intermediate image  1403 . The second, catoptric (purely reflective) objective part  1420  consists of a first concave mirror  1421  and a second concave mirror  1422  which, in combination, create the second intermediate image  1404  from the first intermediate image  1403 . A dioptric third objective part  1430  is designed for imaging the second intermediate image  1404  onto the image plane  1402 , whereby, during operation, a thin layer of immersion fluid I (water) is transited by the radiation. When optimizing the design, particular care was taken to facilitate optical testing of the aspheric mirror surfaces during mirror manufacturing. For this purpose, the mirror surface of the first concave mirror  1421  has a parabolic shape (compare table 28A, surface  23 ). 
     The following considerations are provided to facilitate understanding why a parabolic shape of a mirror surface facilitates testing. In a general case, optical testing of an aspherical mirror surface requires use of specifically adapted optical testing system designed to create testing radiation having a distorted wave front which is adapted to the desired aspheric shape of the mirror surface such that the local incidence angles of the test wave onto the aspheric surface are rectangular for each location of the aspheric surface. Optical testing devices using aplanatic optical systems, or compensation systems (K-systems) or computer generated holograms (CGH) or a combination thereof for shaping the distorted wave front are usually employed for this purpose. Since the construction of specifically designed testing optics for each aspherical shape is expensive, alternative methods are desired. 
     An aspheric mirror having a parabolic shape, in contrast, can be tested with simple testing equipment. For further explanation, it is considered that a purely conical, rotational symmetric surface shape can be described by the following equation: 
     
       
         
           
             p 
             = 
             
               
                 ch 
                 2 
               
               
                 1 
                 + 
                 
                   
                     
                       1 
                       - 
                       
                         c 
                          
                         
                           ( 
                           
                             k 
                             + 
                             1 
                           
                           ) 
                         
                       
                     
                   
                    
                   
                     h 
                     2 
                   
                 
               
             
           
         
       
     
     Here, p is the axial coordinate of a surface point, k is a conical constant, c is the curvature (i.e. the reciprocal (1/r) of radius r) of the surface at the vertex (where the optical axis intersects the mirror surface) and h is the height (measured perpendicular to the optical axis). Using this equation, different conical, rotational symmetric surface shapes can be generated depending on the value of the conical constant k. For example, a spherical shape corresponds to k=0, a value k=−1 describes a parabola, values k&lt;−1 describe a hyperbola and values −1&lt;k&lt;0 describe an elliptic shape. All these shapes have in common that an object point arranged in a specific position (depending on the shape of the surface) will be imaged without aberrations (stigmatic imaging). At least one non-spherical conical mirror may therefore be useful in an embodiment of the invention or in other projection objectives having concave mirrors. Considering the requirements of mirror testing, a parabolic shape (k=−1) is particularly useful since the object point, which will be imaged without spherical aberrations, is positioned at infinity. With other words: light from a test beam or parallel light impinging parallel to the optical axis on a parabolic surface will be focused in one and only one focal point by the parabolic mirror. This is advantageous since no special arrangements for diverging or converging a beam bundle of a test wave are necessary. The test wave has a planar wave front. 
     A possible testing arrangement is schematically shown in  FIG. 29 . Here, the parabolic mirror surface  1421  is shown together with the optical axis OA defined by that mirror surface. The testing equipment includes a testing optical system  1460  designed for creating a parallel test light beam parallel to the optical axis OA and incident on the parabolic mirror surface. The testing arrangement further includes a spherical mirror  1470  shaped and arranged with respect to the desired shape of the parabolic mirror  1421  such that the center of curvature  1490  of the spherical mirror  1470  coincides with the focal point of the parabolic mirror. In this arrangement, a test wave  1495  having a plane wave front provided by the optics  1460  and incident on the parabolic mirror surface  1421  is first converged by the parabolic mirror into the focal point  1490  of the parabolic mirror prior to impinging on the spherical mirror  1470 . The spherical mirror  1470  reflects the test wave back along the same path into the test optics  1460 . Deviations in path length between a planar reference wave and the wave reflected back from the parabolic mirror can be used to characterize the parabolic shape of the parabolic mirror. 
     The projection objective  1400  is telecentric on the object side and on the image side. One feature contributing to telecentricity on the object side is the particular convex shape of the entrance side of the first lens element (positive meniscus  1412 ) immediately following the object plane. Aspheric surfaces on the first two lenses on the object side contribute to telecentricity. The telecentric beam is essentially free of field zone errors on the object and image side, i.e. there is virtually no variation of telecentricity across the object or image field. 
     In  FIGS. 30 to 32  three further embodiments of projection objectives  1500 ,  1600  and  1700  having a general construction similar to that shown in  FIG. 4  having a catoptric second objective part are shown. Reference numerals for similar features/feature groups are similar, increased by 1300, 1400, 1500 respectively. The specifications are given in tables 30, 30A, 31, 31A and 32, 32A. When designing these embodiments, special emphasis was placed on optimization of material consumption and installation space required for the first, dioptric objective part  1510 ,  1610 ,  1710  serving as a relay system for imaging the object field into the first intermediate image. 
     As a common feature to all embodiments of  FIGS. 30, 31 and 32  the first objective part has only six lens elements, i.e. transparent optical elements having considerable refractive power. Only positive lenses are used, thereby creating first objective parts with strong converging power in an axially short objective part having relatively small maximum diameter. In all embodiments, a plane parallel plate  1519 ,  1619 ,  1719  is positioned immediately following the respective first pupil plane  1511 ,  1611 ,  1711  of the projection objective. One advantage of placing at least one essentially plane parallel plate near a pupil surface is that such plate can be aspherized to correct for aberrations introduced by manufacturing or other effects (correction asphere). Such plate can be ex-changeable. In the embodiment of  FIG. 30 , an aperture stop A is provided within the first objective part  1510  at the pupil position immediately ahead of the parallel plate  1519 . In the embodiments of  FIGS. 31 and 32  the aperture stop is arranged within the third objective part in the region of maximum beam diameter at the third pupil surface  1631 ,  1731  respectively. All embodiments mentioned here have only positive lenses between the image side pupil plane and the image plane, where the embodiment in  FIG. 30  has five such positive lenses and the other embodiments ( FIGS. 31, 32 ) have only four positive lenses between the image side pupil surface and the image plane. 
     A comparative view of the first objective parts of the embodiments in  FIGS. 30 to 32  reveals certain relations between the use of aspheric surfaces and the curvature of the entrance surface of the first lens element immediately following the objective plane. In the embodiment of  FIG. 30 , first lens element  1512  is a biconvex positive lens having a aspheric entrance surface facing the object plane, where this entrance surface is only slightly curved, with the radius of curvature exceeding 300 mm. Six aspheric surfaces (indicated by dots) are used. As evident from the rays crossing in the region of the first intermediate image  1503 , coma is one prominent imaging error in the first intermediate image  1503 . This error is compensated by the design of the optical surfaces downstream of the first intermediate image. In contrast, in the embodiment shown in  FIG. 31  the aspheric entrance surface of the first lens element (positive meniscus  1612 ) has a relatively strong convex curvature having a radius of curvature below 300 mm (R≈154 mm in this case). Only four aspheric surfaces are employed in the first objective part  1610 . The aspheric surfaces are adapted to the optical effect of the curved entrance surface such that the first intermediate image  1603  is essentially free of coma. This indicates a trend that a strong convex curvature of the entrance side is useful for obtaining a good quality first intermediate image with a small number of aspherical surfaces. In the first objective part  1710  of the embodiment shown in  FIG. 32  an intermediate number of five aspheric surfaces is used in combination with an entrance surface of the first element (biconvex lens  1712 ) having moderate curvature (radius of curvature &gt;300 mm). Providing an entry surface of the projection objective having no curvature (planar surface) or weak curvature (e.g. value of radius of curvature &gt;500 nm or more) renders the objective relatively insensitive against pressure fluctuations of ambient pressure. As the number of aspheric surfaces is equal or less than the number of positive lenses in the first objective part of all three embodiments it can be seen that compact designs can be obtained when only positive lens elements are used and if a ratio between the number of lenses having refractive power and the number of aspheric surfaces is smaller than 1.6. 
     The embodiments of  FIGS. 30 to 32  show that in the framework of a preferred design having a straight optical axis common to all objective parts and a catoptric second objective part it is possible to design the relay system on the entrance side of the objective (first objective part) with an axial length considerably smaller than the axial length of the third objective part. The axial length (measured between the object surface and the first intermediate image) may be less than 90% or less than 80% of the axial length of the third objective part (measured between the second intermediate image and the image plane). This indicates that the design can be used with various different positions of the second (catoptric or catadioptric) objective part between the refractive objective parts. 
     In the embodiments of  FIGS. 30 to 32  the plano-convex lens closest to the image plane, i.e. the last lens of the objective, is made of calcium fluoride. Since this material is less sensitive to radiation induced density variations (particularly compaction) the service life time of the objective maybe increased when compared to objectives having last lenses made of fused silica. However, in immersion objectives designed for operating with water based immersion liquids last lens elements of calcium fluoride are problematic since calcium fluoride is soluble in water. Therefore, the life time of the system may be reduced. Therefore, a protection layer protecting the last lens element from degradation caused by an aggressive immersion liquid may be useful. Suitable protection layers are described, for example, in U.S. provisional application 60/530,623 filed on Dec. 19, 2003 by the applicant, the disclosure of which is incorporated herein by reference. In the embodiments of  FIGS. 30 to 32  a thin plane parallel plate of fused silica having a thickness of 0.3 mm is adhered to the planar exit surface of the plano-convex calcium fluoride lens by wringing. The plane parallel quartz glass plate providing the exit surface of the projection objective can be exchanged, if desired. Exchanging may be desired if the fused silica material is damaged due to high radiation load and/or if contamination and/or scratches on the fused silica protection plate occur. 
     Using the embodiment of  FIG. 32  as an example further characteristic features of projection objectives according to the invention are explained. To this end, a chief ray CR running from an outermost field point (furthest away from the optical axis AX) essentially parallel to the optical axis and intersecting the optical axis at three consecutive pupil surface positions P 1 , P 2 , P 3 , each within one of the imaging objective parts  1710 ,  1720 ,  1730 , is drawn in bold line to facilitate understanding. The angle included between the optical axis AX and the chief ray CR at each position along the chief ray is denoted “chief ray angle” in the following. The chief ray CR is divergent (chief ray height increasing in light propagation direction) at the position of the first intermediate image  1703 . The increasing chief ray height after the first intermediate image corresponds to a negative chief ray intersection length of the first objective part  1710  downstream of the first intermediate image  1703 . Here, the “chief ray intersection length” is defined as an axial length between the position of the intermediate image and the intersection point of a tangent to the chief ray CR at the intermediate image. The intersection point is positioned on the object side of the first intermediate image within the first objective part  1710 . A negative chief ray intersection length relative to the first intermediate image corresponds to a negative (virtual) exit pupil of the first objective part. In contrast, a convergent chief ray exists at the second intermediate image  1704 , corresponding to a positive chief ray intersection length downstream of the second intermediate image, which corresponds to a real exit pupil existing downstream of the second intermediate image. The real exit pupil of the second objective part  1720  relative to the second intermediate image  1704  is therefore positioned outside the third objective part  1730  (real exit pupil) beyond the image plane. The virtual exit pupil of the first objective part  1710  coincides with the real entrance pupil of the second objective part  1720 . Given these conditions a projection objective is provided having at least two intermediate images, wherein one imaging objective part (here the catadioptric or catoptric second objective part disposed between a refractive first objective part and a refractive third objective part) performs a real image formation between the first and second intermediate images wherein, in addition, a real entrance pupil is imaged into a real exit pupil. Since there is an accessible pupil surface P 1  within the refractive first objective part and another accessible pupil surface P 3  within the third objective part projection objectives of this type have two potential positions for placing an aperture stop to effectively define the numerical aperture used in the imaging process. Here, the term “accessible” refers to a potential aperture stop position in a section of an objective part passed only once by the light running through the projection objective. 
     Further, projection objectives according to preferred embodiments discussed here, have three real pupil surfaces P 1 , P 2 , P 3  between object plane and image plane, wherein the maximum chief ray angle in one of these pupil surfaces is smaller than the object side numerical aperture and wherein in addition at least one of the following conditions is fulfilled: (1) The maximum marginal ray height in two of the three pupil surfaces is at most 50% of the maximum marginal ray height in the third pupil surface (here the third pupil surface P 3 ); (2) the maximum chief ray angle in two of the pupil surfaces is at least twice as large as a maximum chief ray angle in the third pupil surface; (3) a maximum chief ray angle in two of the pupil surfaces is at least twice as large as the object side numerical aperture. 
     In the following, a number of embodiments are shown which are optimized with respect to the aspect of manufacturing and testing the aspheric surfaces used therein. In order to demonstrate one of the problems arising during preparation of aspheric surfaces on lenses  FIGS. 33A and 33B  each show an enlarged partial view of a meridonal lens section through a conventional objective having a thin positive lens L having an aspheric entrance surface AS. In  FIG. 33A  a characteristic ray R 1  running along the periphery of the transmitted beam bundle and a characteristic beam R 2  running close to the optical axis of the optical system are shown to demonstrate the optical action of the aspherical lens L. In the conventional system CONV the aspheric surface AS is designed to act as a positive lens for rays passing close to the optical axis and as a negative lens for rays close to the periphery of the light beam (ray R 1 ). In order to obtain this variation of refractive power in meridional direction the aspheric surface has a positive curvature (C&gt;0) in the area around the optical axis and a negative curvature (C&lt;0) in the peripheral region where ray R 1  passes. An inflection point IP characterized by a local curvature C=0 is positioned between the convex section (around the optical axis) and the concave section (at the periphery). Although the local change of the sense of curvature obtained this way may be desirable from an optical point of view, inflection points are critical when the surface finishing is considered since a finishing tool (schematically shown as tool T in  FIG. 33B ) having a reasonable diameter for efficient surface polishing may have substantially non-uniform effect in the region around the inflection point. Therefore, sufficient optical quality of aspherical surfaces having inflection points is difficult to obtain. 
     These problems can be avoided if the aspherical surface has no inflection point. The projection objective  1800  shown in  FIG. 34  (specification given in tables 34 and 34A) is designed such that none of the aspherical surfaces has an inflection point. 
     Another feature of aspheric surfaces identified by inventors as being critical from a manufacturing point of view is explained in connection with  FIG. 35 . The inventors have found that high optical quality of aspheric surfaces can be obtained if extremal points (minima or maxima) on the surface shape of an aspheric surface outside the optical axis are avoided or, if that is not possible, if extremal points are only used on aspheric surfaces having an essentially flat basic shape. In  FIG. 35  the surface shapes of two aspheric surfaces AS 1  and AS 2  are shown schematically in terms of the function p(h), where p is measured parallel to the optical axis (z-direction) and h is the height of a surface point, where the height corresponds to the radial distance between a surface point and the optical axis. Parameter p, as used here, denotes the axial separation of a plane normal to the optical axis and intersecting the relevant surface point to a plane parallel thereto and touching the vertex V of the optical elements on the optical axis. 
     In that respect, an extremal point on an aspheric surface is characterized by the fact that the first derivative (characterizing the slope of the surface) given by 
     
       
         
           
             
               
                 d 
                  
                 
                     
                 
                  
                 p 
               
               
                 d 
                  
                 
                     
                 
                  
                 h 
               
             
             = 
             0 
           
         
       
     
     and that the second derivative 
     
       
         
           
             
               
                 
                   d 
                   2 
                 
                  
                 p 
               
               
                 d 
                  
                 
                     
                 
                  
                 
                   h 
                   2 
                 
               
             
             ≠ 
             0 
           
         
       
     
     (here the second derivative describes the surface curvature). Therefore, the first asphere AS 1  in  FIG. 35  has a first extremal point EX 11  and a second extremal point EX 12  having opposite signs of the second derivative, whereas the second asphere AS 2  has only one extremal point EX 21 . In the definitions used here the vertex V of the optical surface (where h=0) is excluded from the considerations, since the vertex always is an extremal point of rotational symmetric aspheric surfaces considered here. 
     In  FIG. 35 , the surface shape is depicted schematically between the optical axis (h=0) and the outer periphery of an area of the surface, which is finished with a tool e.g. by polishing. This finishing area is characterized by a maximum height h max . The maximum area optically used in operation is generally smaller such that the optically utilized radius is characterized by a maximum value h opt &lt;h max . The area outside the optically used area between the edge of that area and the edge of the optical component is denoted overrun region OR. This area is normally used for mounting the optical elements. However, during manufacturing the overrun region has to be included into the consideration regarding an optimum surface shape. 
     In the following it will be explained why extremal points on aspheric surfaces may be critical if optimum surface quality is desired. To this end, a rotary polishing tool T having a reasonable sized diameter is operating in the region of the first extremal point EX 11 . Depending on the relative dimensions between the “valley” around the extremal point EX 11  and the tool T the area at the bottom of the concave valley may not to be polished sufficiently enough since the tool “bridges” the critical bottom area most of the time. Therefore, the surface quality in the extremal point region may be different from the surface quality of regions farther a way from the critical extremal point. On the other hand, if the extremal point corresponds to a convex “hill” on the aspheric surface, this area may be polished stronger than the surrounding area, which may also lead to irregularities of the surface quality in the extremal point region. These problems can be avoided if the aspheric surface has no extremal points (with the exception of the necessary extremal point at the vertex). Since the tool T will generally extend beyond the maximum optically used area (at h opt ) when the peripheral region of the optically used area is treated, it is desirable that extremal points are avoided also in the edge region OR. 
     On the other hand, aspheric surfaces having extremal points may be desired to obtain certain variations of refractive power of an aspheric surface in meridonal direction. It has been found by the inventors that extremal points can be acceptable from a manufacturing point of view if the extremal point is present on an optical surface having an essentially flat basic shape. For example, the aspheric surface may be formed on a flat side of a plano convex or a plano concave lens or on a surface of a plane parallel plate. Preferably, the absolute value of the maximum z-variation (p max ) of such surfaces having an extremal point should not exceed 0.5 mm, more preferably should be smaller than 0.25 mm. The optical advantages of extremal points on aspheric surfaces can thus be obtained without significant irregularities in optical surface quality. 
     In  FIG. 36  an embodiment of a projection objective  1900  is shown where all aspheric surfaces are free of extremal points outside the optical axis. The specification is given in tables 36 and 36A. If an aspherical surface with an extremal point should be desired, this should be formed on an optical surface having an essentially flat basic shape, typically having a long radius with |r|&gt;2000 mm. 
       FIGS. 37 and 38  show embodiments of projection objectives  2000 ,  2100  designed according to the general construction given in  FIG. 4 , i.e. having a catoptric (purely reflective) second objective part  2020 ,  2120 , respectively. Reference numerals for similar features/feature groups are similar, increased by 1800, 1900, respectively. The specifications are given in tables 37, 37A and 38, 38A. When designing these embodiments, special emphasis was placed on a balanced design having only few correcting means, such as aspheres, and a moderate number of lens elements. In addition, a balanced distribution of refractive power amongst different parts of the projection objective contributes to a harmonic beam deflection throughout the optical system. The harmonic general construction makes the designs less sensitive against maladjustment of single lens elements or lens groups and facilitates incorporation of manipulators for dynamically influencing the performance of the optical system, e.g. by moving of single lenses or lens groups in axial direction, perpendicular to the optical axis and/or by tilting. 
     In the embodiment of  FIG. 37  only ten aspheric surfaces are used, which, according to the considerations given above, can be manufactured and tested in a relatively cost-effective way. The last optical element (plano-convex lens  2050  immediately ahead of the image plane  2002 ) is made of fused silica, having a thickness at the edge of the optical used area of about 23 mm. The overall wave front error is reduced to 1.6 mλ. All lenses are made of fused silica, about 60 kg blanc material of fused silica being necessary to make all lenses. In contrast, the plano-convex lens  2150  forming the last element of the embodiment of  FIG. 38  is made of calcium fluoride, which material is less prone to radiation induced densitiy variations (compaction and rarefaction). Using 12 aspheric surfaces which can be manufactured with moderate effort it is possible to obtain a performance characterized by a wave front error of 2.1 mλ. An overall blanc mass of about 63 kg fused silica and 1.5 kg calcium fluoride is used for this embodiment. 
     In  FIGS. 39 and 40  two embodiments are shown which are characterized, amongst other features, by the fact that the first objective part imaging the object field into the first intermediate image is a catadioptric objective part including one concave mirror and one additional mirror having a curved mirror surface, where the curved mirror surfaces of the concave mirror and the additional mirror are facing each other such that the first objective part can serve as a relay system in projection objectives of preferred embodiments having one straight common optical axis for all objective parts. 
     The specification of the projection objective  2200  shown in  FIG. 39  is given in table 39 and 39A (aspheric constants). The system is designed for 193 nm for using water (n=1.436677) as an immersion fluid. All lenses except the last image side optical element (plano-convex lens  2260  made of calcium fluoride) are made of fused silica. An image side numerical aperture NA=1.2 is obtained at an image field size 26 mm-5.5 mm arranged 21.8 mm outside the optical axis. The track length (object image distance) is 1125 mm. 
     A first, catadioptric objective part  2210  is designed for creating a first intermediate image  2203 . The second, catadioptric objective part  2220  designed for creating the second intermediate image  2204  from the first intermediate image includes a first concave mirror  2221  and a second concave mirror  2222  having concave mirror surfaces facing each other and defining an intermirror space, and a positive meniscus lens  2229  having an aspheric, concave entrance surface immediately downstream of the first intermediate image. A dioptric third objective part  2230  is designed for imaging the second intermediate image onto the image plane  2202 , whereby a thin layer of water (immersion fluid I) is transited by the radiation. An aperture stop A is positioned in the third objective part. 
     The first objective part  2210  includes, in that optical sequence from the object field, a biconvex positive lens  2211  having a strongly aspheric entrance surface and an aspheric exit surface, a positive meniscus lens  2212  having an aspheric concave entrance surface and a spherical exit surface, and a concave mirror  2213  having an object side concave mirror surface and being arranged eccentrically to the optical axis, but intersecting the optical axis  2205 . The radiation reflected back from the concave mirror transits the positive meniscus  2212  in the opposite direction and mostly on the opposite side of the optical axis compared to the radiation passing between object field and concave mirror  2213 . An additional mirror  2214  with convex mirror surface is provided by an off-axis mirror coating on the image side surface of convex lens  2211 . The radiation passes the positive meniscus  2212  a third time prior to formation of the first intermediate image. Therefore, the lens  2212  is used three times at laterally offset lens regions. 
     Whereas concave mirror  2213  is positioned optically near a pupil surface, convex mirror  2214  is arranged optically near to the intermediate image  2203 . Therefore, field aberrations and pupil aberrations can be corrected separately by selecting according shapes of the concave and convex mirrors  2213 ,  2214 . This allows to adjust the correction status of the first intermediate image  2203  such that residual imaging errors can be compensated by the two objective parts following downstream of the first intermediate image including the catadioptric second objective part  2220 . 
     The first objective part is designed as an enlarging system having a significant magnification |β 1 |&gt;1. The first intermediate image  2203  is positioned geometrically near the closest edge of convave mirror  2213  outside the intermirror space defined between the concave mirrors  2221  and  2222  of the second objective part, whereby the optical distance between the first intermediate image and the first concave mirror  2221  becomes rather large, whereas the optical distance between the second concave mirror  2222  and the second intermediate image  2204  becomes rather small. Therefore, the sizes of the concave mirrors of the second objective part differ significantly, the optically used area of the first concave mirror being about twice as large as the corresponding area on the second concave mirror. Both concave mirrors  2221  and  2222  are positioned outside the optical axis such that the optical axis does not intersect the optically used mirror surfaces. Since the concave mirrors are positioned at different positions with regard to the ratio between the ray heights of principal ray and marginal ray, the correcting effects of the concave mirrors on different imaging errors can be distributed between the two catadioptric objective parts  2210  and  2220 . 
     The projection objective  2300  shown in  FIG. 40  is designed as a “solid immersion lens” having a finite image side working distance in the order of the design wavelength λ of the system (193 nm) or fractions thereof (e.g. λ/2 or λ/4 or below). Evanescent fields exiting from the exit surface of the last lens can be used for imaging. The system is adapted for optical near field lithography. Reference is made to German patent application DE 10332112.8 filed on Jul. 9, 2003 by the applicant, where preferred conditions for optical near field lithography are specified. No liquid immersion fluid is necessary in this case for obtaining an image side numerical aperture NA&gt;1. In the embodiment NA=1.05 for a image field size 22 mm-4.5 mm, where the image field is arranged 39 mm off-axis. The overall reduction ratio is 1:4, the track length is 1294.4 mm. In this design, all lenses including the last, image side plano-convex lens  2360  are made of fused silica. The specification is given in tables 40 and 40A (aspheric constants). 
     The first, catadioptric objective part  2310  designed for creating the first intermediate image  2303  from the object field on an enlarged scale includes, in that sequence along the optical path, a biconvex positive lens  2311  having an aspheric entrance surface and a spherical exit surface, a concave mirror  2312 , having an object side mirror surface, a convex mirror  2313  having slightly curved convex mirror surface facing the concave mirror and being formed by a mirror coating on an elevated section of the image side lens surface of lens  2311 , a bispherical positive meniscus lens  2314  having a concave entry side, and a biconvex positive lens  2315  having a strongly aspheric exit surface positioned in the immediate vicinity of the first intermediate image  2303 . 
     The second, catadioptric objective part  2320  picks up the first intermediate image  2303  and forms the second intermediate image  2304  located geometrically within an intermirror space defined by the first concave mirror  2321  and the second concave mirror  2322  of the second objective part. The second objective part further includes negative meniscus lenses  2325 ,  2326  each positioned immediately ahead of the mirror surface of an associated concave mirror  2321  and  2322 , respectively. A strong correcting effect on longitudinal chromatic aberration (CHL) can be obtained this way. A biconvex positive lens  2328  having an object side aspheric surface and an image side spherical surface extents across the entire diameter of the projection objective between the first and second concave mirrors  2321 ,  2322  and is passed three times by the radiation, once between the first intermediate image and the first concave mirror, a second time between the first and the second concave mirrors  2321 ,  2322  and a third time between the second concave mirror  2322  and the second intermediate image  2304 . 
     In this embodiment, all three concave mirrors  2312 ,  2321 ,  2322  are positioned optically remote from the pupil surface of the projection objective. Also, the almost flat convex mirror  2313  is positioned clearly outside the first pupil surface P 1 . The design allows to distribute the correcting effects of catadioptric objective parts between the first and the second objective part. 
     The invention allows to manufacture catadioptric projection objectives which, in many respects of practical implementation into a projection exposure apparatus, have similar properties to conventional refractive projection objectives, whereby a change over between refractive systems and catadioptric systems is greatly facilitated. Firstly, the invention allows to built catadioptric projection objectives having one straight (unfolded) optical axis. Further, an object field disposed on one side of the optical axis may be imaged into an image field disposed on the opposite side of the optical axis, i.e. the imaging is performed with “negative magnification”. Thirdly, the objectives can be designed to have isotropic magnification. Here, the term “isotropic magnification” refers to an image formation without “image flip”, i.e. without a change of chirality between object field and image field. With other words, features on the reticle described in a right handed coordinate system can be described in a similar right handed coordinate system in the image. The negative isotropic magnification is present in both x- and y-directions perpendicular to the optical axis. This allows to use the same type of reticles also used for imaging with refractive projection objectives. These features facilitate implementation of catadioptric projection objectives according to the invention in conventional exposure apparatus designed for refractive projection objectives since no major reconstructions are required, for example, at the reticle- and wafer-stages. Also, reticles designed for use with refractive projection objectives can in principle also be used with catadioptric projection objectives according to the invention. Considerable cost savings for the end user can be obtained this way. 
     As mentioned earlier, the invention allows to built catadioptric projection objectives with high numerical aperture, particularly allowing immersion lithography at numerical apertures NA&gt;1, that can be built with relatively small amounts of optical material. The potential for small material consumption is demonstrated in the following considering parameters describing the fact that particularly compact projection objectives can be manufactured. 
     Generally, the dimensions of projection objectives tend to increase dramatically as the image side numerical aperture NA is increased. Empirically it has been found that the maximum lens diameter D max  tends to increase stronger than linear with increase of NA according to D max ˜NA k , where k&gt;1. A value k=2 is an approximation used for the purpose of this application. Further, it has been found that the maximum lens diameter D max  increases in proportion to the image field size (represented by the image field height Y′). A linear dependency is assumed for the purpose of the application. Based on these considerations a first compactness parameter COMP 1  is defined as: 
       COMP1= D   max /( Y ′·NA 2 ).
 
     It is evident that, for given values of image field height and numerical aperture, the first compaction parameter COMP 1  should be as small as possible if a compact design is desired. 
     Considering the overall material consumption necessary for providing a projection objective, the absolute number of lenses, N L  is also relevant. 
     Typically, systems with a smaller number of lenses are preferred to systems with larger numbers of lenses. Therefore, a second compactness parameter COMP 2  is defined as follows: 
       COMP2=COMP1· N   L .
 
     Again, small values for COMP 2  are indicative of compact optical systems. 
     Further, projection objectives according to the invention have at least three objective parts for imaging an entry side field plane into an optically conjugate exit side field plane, where the imaging objective parts are concatenated at intermediate images. Typically, the number of lenses and the overall material necessary to build an projection objective will increase the higher the number N OP  of imaging objective parts of the optical system is. It is desirable to keep the average number of lenses per objective part, N L /N OP , as small as possible. Therefore, a third compactness parameter COMP 3  is defined as follows: 
       COMP3=COMP1· N   L   /N   OP .
 
     Again, projection objectives with low optical material consumption will be characterized by small values of COMP 3 . 
     Table 41 summarizes the values necessary to calculate the compactness parameters COMP 1 , COMP 2 , COMP 3  and the respective values for these parameters for each of the systems presented with a specification table (the table number (corresponding to the same number of a figure) is given in column 1 of table 41). Therefore, in order to obtain a compact catadioptric projection objective having at least one concave mirror and at least three imaging objective parts (i.e. at least two intermediate images) at least one of the following conditions should be observed: 
       COMP1&lt;11 
     Preferably COMP 1 &lt;10.8, more preferably COMP 1 &lt;10.4, even more preferably COMP 1 &lt;10 should be observed. 
       COMP2&lt;300 
     Preferably COMP 2 &lt;280, more preferably COMP 2 &lt;250, even more preferably COMP 2 &lt;230 should be observed 
       COMP3&lt;100 
     Preferably COMP 3 &lt;90, more preferably COMP 3 &lt;80, even more preferably COMP 3 &lt;75 should be observed. 
     Table 41 shows that preferred embodiments according to the invention generally observe at least one of these conditions indicating that compact designs with moderate material consumption are obtained according to the design rules laid out in this specification. 
     If desired, various types of filling gases can be used to fill the empty spaces between the optical elements of the projection objectives. For example, air or nitrogen or helium can be used as filling gas depending or desired properties of the embodiment. 
     Favorable embodiments may be characterized by one or more of the following conditions. The first objective part is preferably designed as an enlarging system, preferably having a magnification β 1  in the range 1&lt;|β 1 |&lt;2.5. This ensures low NA at the first intermediate image and helps to avoid vignetting problems. |β 1 | may be 1:1 or may be slightly smaller, e.g. 0.8≦|β 1 ≦1. The second objective part is preferably designed as a system having near to unit magnification, i.e. almost no magnification or reduction. Particularly, the second objective part may be designed as a system having a magnification β 2  in the range 0.4&lt;|β 2 |&lt;1.5, more preferably in the range 0.8&lt;|β 2 |&lt;1.25 or in the range 0.9&lt;|β 2 |&lt;1.1. The third objective part preferably has a reducing magnification |β 3 |&lt;1. The entire projection objective has a magnification β where β=β 1 ·β 2 ·β 3 . The second intermediate image may have a size larger than the image size. 
     Preferably, both the first intermediate image and the second intermediate image are located geometrically within the intermirror space between the first concave mirror and the second concave mirror. They may be located geometrically in a middle region centered around the midpoint between the two concave mirrors within the intermirror space between the first concave mirror and the second concave mirror, wherein the middle region extends in a space having an axial extension 90% of an axial distance between the vertices of the curvature surfaces of the first and second concave mirror. 
     If d is the distance on the optical axis between the two concave mirrors, d 1  is the distance on the optical axis between the first intermediate image and the first concave mirror and d 2  is the distance on the optical axis between the second concave mirror and the second intermediate image, then the relations: 0.5 d/2&lt;d 1 &lt;1.5 d/2 and 0.5 d/2&lt;d 2 &lt;1.5 d/2 are preferably satisfied. The distances mentioned above are to be measured along the optical axis, which may be folded. Preferably, a chief ray of the most off axial field point intersects the optical axis in the same described region between d/4 and 3d/4 between the two concave mirrors in the vicinity of the location of the first intermediate image. Pupil positions are then remote from mirrors. 
     It has been found useful to design the optical system such that at least one intermediate image, preferably all intermediate images are positioned such that there exists a finite minimum distance between the intermediate image and the next optical surface, which is a mirror surface in most embodiments. If a finite minimum distance is maintained it can be avoided that contaminations or faults on or in the optical surface are imaged sharply into the image plane such that the desired imaging of a pattern is disturbed. Preferably, the finite distance is selected depending on the numerical aperture of the radiation at the intermediate image such that a sub-aperture (footprint of a particular field point) of the radiation on the optical surface next to the intermediate image has a minimum diameter of at least 3 mm or at least 5 mm or at least 10 mm or at least 15 mm. It is obvious from the figures and tables that these conditions are easily met by most or all embodiments in relation to the distance between an intermediate image within the intermirror space and the mirror surface arranged optically nearest to the intermediate image. Embodiments having intermediate images arranged in the middle region between the concave mirrors are particularly well-natured in this respect. 
     All transparent optical components of the embodiments described above, with a possible exception at the last image side lens, which may be of calcium fluoride, are fabricated from the same material, namely fused silica (SiO 2 ). However, other materials, in particular, crystalline alkaline earth metal fluoride materials, that are transparent at the working wavelength may also be used. At least one second material may also be employed in order to, for example, assist correction for chromatic aberration, if necessary. Of course, the benefits of the invention may also be utilized in the case of systems intended for use at other wavelengths, for example, at 248 nm or 157 nm. 
     Some or all conditions are met by some or all embodiments described above. 
     It is to be understood that all systems described above may be complete systems for forming a real image (e.g. on a wafer) from a real object. However, the systems may be used as partial systems of larger systems. For example, the “object” for a system mentioned above may be an image formed by an imaging system (relay system) upstream of the object plane. Likewise, the image formed by a system mentioned above may be used as the object for a system (relay system) downstream of the image plane. 
     The above description of the preferred embodiments has been given by way of example. From the disclosure given, those skilled in the art will not only understand the present invention and its attendant advantages, but will also find apparent various changes and modifications to the structures and methods disclosed. It is sought, therefore, to cover all changes and modifications as fall within the spirit and scope of the invention, as defined by the appended claims, and equivalents thereof. 
     The contents of all the claims is made part of this description by reference. 
     
       
         
           
               
             
               
                 TABLE 4 
               
             
            
               
                   
               
               
                 J 205 
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 1 
                 151.647118 
                 39.665046 
                 SiO2 
                 86.120 
               
               
                 2 
                 −1368.552447 
                 69.197177 
                   
                 85.246 
               
               
                 3 
                 158.992783 
                 15.145647 
                 SiO2 
                 75.907 
               
               
                 4 
                 206.923841 
                 38.570349 
                   
                 73.675 
               
               
                 5 
                 97.678872 
                 40.014335 
                 SiO2 
                 69.070 
               
               
                 6 
                 −5437.460665 
                 6.811056 
                   
                 64.924 
               
               
                 7 
                 138.801509 
                 16.000000 
                 SiO2 
                 53.028 
               
               
                 8 
                 573.226631 
                 49.296968 
                   
                 47.448 
               
               
                 9 
                 −57.862177 
                 14.263643 
                 SiO2 
                 47.630 
               
               
                 10 
                 −84.936107 
                 112.509668 
                   
                 57.274 
               
               
                 11 
                 −413.250477 
                 39.459821 
                 SiO2 
                 106.087 
               
               
                 12 
                 −160.648303 
                 5.882304 
                   
                 109.942 
               
               
                 13 
                 797.277933 
                 34.177152 
                 SiO2 
                 115.560 
               
               
                 14 
                 −430.752073 
                 244.699332 
                   
                 115.661 
               
               
                 15 
                 −199.609067 
                 −204.699112 
                 REFL 
                 134.925 
               
               
                 16 
                 157.344690 
                 246.319295 
                 REFL 
                 109.289 
               
               
                 17 
                 862.084499 
                 22.994398 
                 SiO2 
                 70.571 
               
               
                 18 
                 −419.719089 
                 18.726730 
                   
                 69.767 
               
               
                 19 
                 −150.816336 
                 15.000000 
                 SiO2 
                 67.991 
               
               
                 20 
                 131.971848 
                 26.143914 
                   
                 70.182 
               
               
                 21 
                 −1567.196375 
                 19.813697 
                 SiO2 
                 72.656 
               
               
                 22 
                 −217.593380 
                 44.615314 
                   
                 76.740 
               
               
                 23 
                 −2829.863046 
                 39.782748 
                 SiO2 
                 103.845 
               
               
                 24 
                 −203.824432 
                 1.000000 
                   
                 107.411 
               
               
                 25 
                 524.684787 
                 25.000000 
                 SiO2 
                 114.960 
               
               
                 26 
                 902.564365 
                 1.000000 
                   
                 115.451 
               
               
                 27 
                 530.781146 
                 38.825378 
                 SiO2 
                 116.178 
               
               
                 28 
                 −473.210631 
                 1.000000 
                   
                 116.066 
               
               
                 29 
                 0.000000 
                 0.000000 
                   
                 113.556 
               
               
                 30 
                 322.948582 
                 29.038119 
                 SiO2 
                 113.791 
               
               
                 31 
                 −2580.799702 
                 1.000000 
                   
                 113.022 
               
               
                 32 
                 512.569763 
                 30.174661 
                 SiO2 
                 110.876 
               
               
                 33 
                 −677.235877 
                 1.000000 
                   
                 109.014 
               
               
                 34 
                 106.347684 
                 68.066974 
                 SiO2 
                 90.295 
               
               
                 35 
                 −1474.944139 
                 0.999719 
                   
                 77.627 
               
               
                 36 
                 54.296611 
                 42.467148 
                 CAF2 
                 45.513 
               
               
                 37 
                 0.000000 
                 3.000000 
                 H2O 
                 20.998 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 2 
                 3 
                 8 
                 12 
                 15 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 3.477033e−08 
                 −6.813990e−09 
                 3.966411e−07 
                 4.439638e−09 
                 1.447452e−08 
               
               
                 C2 
                 −4.731536e−13 
                 −8.621629e−12 
                 −4.007014e−12 
                 1.686758e−13 
                 2.261476e−13 
               
               
                 C3 
                 2.796504e−17 
                 −2.762099e−16 
                 7.436146e−15 
                 8.011815e−19 
                 2.580774e−18 
               
               
                 C4 
                 −6.649516e−22 
                 −9.615951e−21 
                 1.520683e−18 
                 9.201114e−22 
                 1.377485e−22 
               
               
                 C5 
                 −2.829603e−25 
                 −5.726076e−24 
                 −9.949722e−22 
                 −4.382820e−26 
                 −3.426657e−27 
               
               
                 C6 
                 1.815473e−29 
                 3.251913e−28 
                 7.293926e−25 
                 1.782591e−30 
                 1.279942e−31 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 16 
                 17 
                 19 
                 22 
                 30 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 4.549402e−08 
                 1.523352e−07 
                 1.162948e−07 
                 −1.982157e−08 
                 1.201912e−08 
               
               
                 C2 
                 −5.067161e−12 
                 −5.763168e−12 
                 −6.089203e−13 
                 −5.382822e−13 
                 −1.705175e−13 
               
               
                 C3 
                 2.777252e−16 
                 7.475933e−17 
                 −1.025185e−16 
                 1.200748e−17 
                 −8.926277e−17 
               
               
                 C4 
                 −3.138154e−20 
                 6.617515e−20 
                 2.192456e−20 
                 −2.867314e−21 
                 −4.435922e−21 
               
               
                 C5 
                 2.350745e−24 
                 −2.264827e−24 
                 −5.792211e−25 
                 1.105789e−25 
                 8.175482e−25 
               
               
                 C6 
                 −7.599030e−29 
                 −1.064596e−28 
                 5.642674e−28 
                 −3.023003e−31 
                 −2.371799e−29 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 SRF 
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                 33 
                 35 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
               
               
                   
                 C1 
                 1.147736e−08 
                 9.136462e−08 
               
               
                   
                 C2 
                 4.202468e−13 
                 −5.545932e−13 
               
               
                   
                 C3 
                 −1.260714e−17 
                 1.560631e−16 
               
               
                   
                 C4 
                 −2.591704e−21 
                 −3.601282e−20 
               
               
                   
                 C5 
                 4.606100e−26 
                 8.986671e−25 
               
               
                   
                 C6 
                 9.707119e−30 
                 3.847941e−29 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 J 206 
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 1 
                 0.000000 
                 0.000000 
                   
                 76.473 
               
               
                 2 
                 196.748623 
                 27.263207 
                 SiO2 
                 81.548 
               
               
                 3 
                 1380.478547 
                 27.173549 
                   
                 81.569 
               
               
                 4 
                 148.118896 
                 29.558580 
                 SiO2 
                 83.220 
               
               
                 5 
                 985.952509 
                 45.383760 
                   
                 81.731 
               
               
                 6 
                 587.017766 
                 26.742601 
                 SiO2 
                 74.752 
               
               
                 7 
                 −268.687626 
                 5.952675 
                   
                 73.075 
               
               
                 8 
                 121.069967 
                 20.000000 
                 SiO2 
                 59.416 
               
               
                 9 
                 338.972294 
                 15.471207 
                   
                 55.151 
               
               
                 10 
                 123.398576 
                 16.000000 
                 SiO2 
                 42.222 
               
               
                 11 
                 493.239196 
                 38.514952 
                   
                 36.268 
               
               
                 12 
                 −56.743953 
                 79.995013 
                 SiO2 
                 40.070 
               
               
                 13 
                 −98.465204 
                 60.825433 
                   
                 74.618 
               
               
                 14 
                 −3097.977653 
                 27.304241 
                 SiO2 
                 102.327 
               
               
                 15 
                 −295.526762 
                 3.782338 
                   
                 104.658 
               
               
                 16 
                 271.693311 
                 37.763865 
                 SiO2 
                 112.015 
               
               
                 17 
                 −3936.289483 
                 25.000000 
                   
                 112.208 
               
               
                 18 
                 162.629416 
                 202.628857 
                   
                 112.852 
               
               
                 19 
                 −195.636303 
                 −202.628857 
                 REFL 
                 119.680 
               
               
                 20 
                 162.629416 
                 202.628857 
                 REFL 
                 104.093 
               
               
                 21 
                 −195.636303 
                 44.391294 
                   
                 76.907 
               
               
                 22 
                 −1229.055417 
                 33.250147 
                 SiO2 
                 83.109 
               
               
                 23 
                 −160.024467 
                 37.552215 
                   
                 84.448 
               
               
                 24 
                 −246.047659 
                 15.000000 
                 SiO2 
                 74.951 
               
               
                 25 
                 134.897718 
                 28.252914 
                   
                 72.042 
               
               
                 26 
                 −768.808515 
                 15.000000 
                 SiO2 
                 73.163 
               
               
                 27 
                 −355.461110 
                 71.356200 
                   
                 76.177 
               
               
                 28 
                 −3425.435334 
                 32.788842 
                 SiO2 
                 102.647 
               
               
                 29 
                 −255.172254 
                 10.903212 
                   
                 105.332 
               
               
                 30 
                 695.872359 
                 30.470261 
                 SiO2 
                 110.205 
               
               
                 31 
                 −625.346253 
                 9.352817 
                   
                 110.381 
               
               
                 32 
                 0.000000 
                 −8.352817 
                   
                 108.884 
               
               
                 33 
                 329.990101 
                 40.669818 
                 SiO2 
                 110.434 
               
               
                 34 
                 −427.546014 
                 1.000000 
                   
                 110.052 
               
               
                 35 
                 158.678466 
                 45.978153 
                 SiO2 
                 102.564 
               
               
                 36 
                 378.976619 
                 1.000000 
                   
                 95.391 
               
               
                 37 
                 108.606008 
                 71.612816 
                 SiO2 
                 81.775 
               
               
                 38 
                 526.305326 
                 1.000000 
                   
                 54.478 
               
               
                 39 
                 52.236898 
                 36.413852 
                 CAF2 
                 39.598 
               
               
                 40 
                 0.000000 
                 3.000000 
                 H2O 
                 19.842 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 7A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                 4 
                 11 
                 15 
                 18 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −6.330577e−08 
                 3.463909e−07 
                 1.324809e−08 
                 −7.037790e−09 
               
               
                 C2 
                 −3.872322e−12 
                 −2.533709e−11 
                 2.103578e−13 
                 −2.219032e−13 
               
               
                 C3 
                 1.663761e−17 
                 3.527218e−14 
                 3.059213e−18 
                 −7.410203e−18 
               
               
                 C4 
                 −2.340311e−20 
                 −2.199769e−17 
                 −5.028780e−23 
                 −1.155705e−22 
               
               
                 C5 
                 1.375334e−24 
                 −1.507925e−21 
                 1.624941e−26 
                 −8.984707e−27 
               
               
                 C6 
                 −1.682943e−29 
                 5.496658e−24 
                 −6.281302e−31 
                 −1.590542e−31 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                 19 
                 22 
                 24 
                 27 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 2.310646e−08 
                 6.335247e−08 
                 3.536885e−08 
                 8.583557e−08 
               
               
                 C2 
                 3.623856e−13 
                 −1.090600e−11 
                 9.732363e−12 
                 3.629209e−12 
               
               
                 C3 
                 5.711204e−18 
                 2.432505e−16 
                 −1.879646e−16 
                 −8.012301e−17 
               
               
                 C4 
                 8.453421e−23 
                 −1.490760e−21 
                 1.841476e−20 
                 5.223547e−20 
               
               
                 C5 
                 1.508061e−27 
                 1.908731e−24 
                 −2.885890e−24 
                 −9.160836e−24 
               
               
                 C6 
                 1.239941e−31 
                 −1.282225e−28 
                 2.916860e−28 
                 1.028273e−27 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 34 
                 36 
                 38 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 2.169817e−08 
                 −1.524001e−08 
                 1.877887e−07 
               
               
                   
                 C2 
                 −5.404878e−13 
                 1.625696e−12 
                 1.445239e−11 
               
               
                   
                 C3 
                 5.551093e−17 
                 −3.076521e−16 
                 1.060456e−16 
               
               
                   
                 C4 
                 −2.305595e−21 
                 8.708326e−21 
                 3.470869e−19 
               
               
                   
                 C5 
                 4.260803e−26 
                 4.665020e−25 
                 −6.424228e−23 
               
               
                   
                 C6 
                 −9.442220e−32 
                 −2.136828e−29 
                 1.397331e−26 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                 J 201 
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 1 
                 0.000000 
                 0.000000 
                   
                 77.084 
               
               
                 2 
                 144.715774 
                 34.413396 
                 SiO2 
                 85.539 
               
               
                 3 
                 1168.820838 
                 42.714222 
                   
                 84.636 
               
               
                 4 
                 137.626538 
                 26.913912 
                 SiO2 
                 78.160 
               
               
                 5 
                 231.768696 
                 25.969904 
                   
                 74.133 
               
               
                 6 
                 −256.723584 
                 9.491982 
                 SiO2 
                 73.679 
               
               
                 7 
                 −300.099619 
                 24.637606 
                   
                 73.830 
               
               
                 8 
                 95.378233 
                 35.795212 
                 SiO2 
                 66.319 
               
               
                 9 
                 2978.156744 
                 6.137057 
                   
                 62.554 
               
               
                 10 
                 113.175934 
                 18.340535 
                 SiO2 
                 50.838 
               
               
                 11 
                 791.566883 
                 42.223464 
                   
                 45.085 
               
               
                 12 
                 −57.334745 
                 47.676082 
                 SiO2 
                 42.772 
               
               
                 13 
                 −104.057645 
                 85.668623 
                   
                 64.264 
               
               
                 14 
                 −747.828120 
                 23.558823 
                 SiO2 
                 98.262 
               
               
                 15 
                 −237.780029 
                 11.502675 
                   
                 100.729 
               
               
                 16 
                 466.711415 
                 38.824036 
                 SiO2 
                 109.480 
               
               
                 17 
                 −377.473708 
                 39.986102 
                   
                 109.791 
               
               
                 18 
                 160.832778 
                 201.116223 
                   
                 111.102 
               
               
                 19 
                 −190.162844 
                 −201.116223 
                 REFL 
                 125.335 
               
               
                 20 
                 160.832778 
                 201.116223 
                 REFL 
                 106.939 
               
               
                 21 
                 −190.162844 
                 40.087040 
                   
                 74.503 
               
               
                 22 
                 −429.676099 
                 17.543012 
                 SiO2 
                 77.631 
               
               
                 23 
                 −222.069915 
                 45.151970 
                   
                 78.588 
               
               
                 24 
                 −438.919401 
                 16.685064 
                 SiO2 
                 75.545 
               
               
                 25 
                 125.893773 
                 22.634903 
                   
                 73.362 
               
               
                 26 
                 706.231560 
                 15.535140 
                 SiO2 
                 74.562 
               
               
                 27 
                 −483.323705 
                 69.793709 
                   
                 76.473 
               
               
                 28 
                 −1219.864506 
                 31.389217 
                 SiO2 
                 101.495 
               
               
                 29 
                 −226.588128 
                 6.763552 
                   
                 104.174 
               
               
                 30 
                 443.080071 
                 40.992305 
                 SiO2 
                 110.047 
               
               
                 31 
                 −556.882957 
                 4.990520 
                   
                 109.849 
               
               
                 32 
                 0.000000 
                 −3.144971 
                   
                 107.701 
               
               
                 33 
                 274.803577 
                 29.023782 
                 SiO2 
                 108.934 
               
               
                 34 
                 −6968.358008 
                 0.969032 
                   
                 108.499 
               
               
                 35 
                 213.748670 
                 46.817088 
                 SiO2 
                 106.084 
               
               
                 36 
                 −8609.746220 
                 0.945349 
                   
                 101.542 
               
               
                 37 
                 114.821261 
                 64.641285 
                 SiO2 
                 84.961 
               
               
                 38 
                 −4598.248046 
                 0.926317 
                   
                 66.788 
               
               
                 39 
                 53.647792 
                 40.301900 
                 CAF2 
                 42.988 
               
               
                 40 
                 0.000000 
                 3.000000 
                 H2O 
                 20.327 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                 4 
                 11 
                 15 
                 18 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −5.141395e−08 
                 4.483031e−07 
                 1.313620e−08 
                 −7.985633e−09 
               
               
                 C2 
                 −5.556822e−12 
                 −9.959839e−12 
                 3.644835e−13 
                 −2.642498e−13 
               
               
                 C3 
                 −2.754499e−16 
                 5.082134e−15 
                 5.949608e−18 
                 −6.856089e−18 
               
               
                 C4 
                 −1.253113e−20 
                 2.578467e−18 
                 5.732895e−22 
                 −5.142965e−22 
               
               
                 C5 
                 −4.228497e−24 
                 −3.461879e−21 
                 −2.284813e−26 
                 1.912150e−26 
               
               
                 C6 
                 2.490029e−28 
                 1.628794e−24 
                 8.340263e−31 
                 −1.470786e−30 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                 19 
                 22 
                 24 
                 27 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 2.017668e−08 
                 4.549402e−08 
                 1.523352e−07 
                 1.162948e−07 
               
               
                 C2 
                 3.361249e−13 
                 −5.067161e−12 
                 −5.763168e−12 
                 −6.089203e−13 
               
               
                 C3 
                 4.310554e−18 
                 2.777252e−16 
                 7.475933e−17 
                 −1.025185e−16 
               
               
                 C4 
                 1.686493e−22 
                 −3.138154e−20 
                 6.617515e−20 
                 2.192456e−20 
               
               
                 C5 
                 −3.551936e−27 
                 2.350745e−24 
                 −2.264827e−24 
                 −5.792211e−25 
               
               
                 C6 
                 2.057764e−31 
                 −7.599030e−29 
                 −1.064596e−28 
                 5.642674e−28 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SRF 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 33 
                 36 
                 38 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 −1.982157e−08 
                 1.201912e−08 
                 1.148008e−07 
               
               
                   
                 C2 
                 −5.382822e−13 
                 −1.705175e−13 
                 −5.056506e−13 
               
               
                   
                 C3 
                 1.200748e−17 
                 −8.926277e−17 
                 1.189381e−16 
               
               
                   
                 C4 
                 −2.867314e−21 
                 −4.435922e−21 
                 −1.274117e−20 
               
               
                   
                 C5 
                 1.105789e−25 
                 8.175482e−25 
                 −3.981271e−24 
               
               
                   
                 C6 
                 −3.023003e−31 
                 −2.371799e−29 
                 3.798968e−28 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 NA = 1.2, β = 0.25 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 a 
                 b 
                 c 
               
               
                   
                   
               
               
                   
                 Field 
                 26 
                 5 
                 4.75 
               
               
                   
                   
               
            
           
           
               
               
               
            
               
                   
                 WL 
                 193.3 nm 
               
               
                   
                 SILUV 
                 1.56049116 
               
               
                   
                 CAFUV 
                 1.50110592 
               
               
                   
                 H2OV 
                 1.4368 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                 ½ 
                   
               
               
                 face 
                 Radius 
                 Thickness 
                 Material 
                 Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.999475127 
                 AIR 
                 65.000 
               
               
                 1 
                 133.894287787 
                 14.995217082 
                 SILUV 
                 84.778 
               
               
                 2 
                 127.681095498 
                 25.597460396 
                 AIR 
                 82.945 
               
               
                 3 
                 402.041163143 
                 34.247197246 
                 SILUV 
                 84.808 
               
               
                 4 
                 −292.795248488 
                 0.996612226 
                 AIR 
                 85.527 
               
               
                 5 
                 −865.792789804 
                 19.686989978 
                 SILUV 
                 84.845 
               
               
                 6 
                 −194.300017249 
                 0.997731584 
                 AIR 
                 84.746 
               
               
                 7 
                 166.499926718 
                 34.205033740 
                 SILUV 
                 81.167 
               
               
                 8 
                 −3411.356708300 
                 0.997606594 
                 AIR 
                 78.713 
               
               
                 9 
                 108.528463069 
                 16.234112594 
                 SILUV 
                 67.657 
               
               
                 10 
                 101.654206518 
                 13.668730583 
                 AIR 
                 60.671 
               
               
                 11 
                 161.992336120 
                 14.997158671 
                 SILUV 
                 58.598 
               
               
                 12 
                 2789.766305580 
                 83.396846659 
                 AIR 
                 54.555 
               
               
                 13 
                 −51.475183292 
                 14.997760255 
                 SILUV 
                 49.489 
               
               
                 14 
                 −64.480378016 
                 0.998543606 
                 AIR 
                 60.882 
               
               
                 15 
                 −523.449669764 
                 57.729408261 
                 SILUV 
                 91.022 
               
               
                 16 
                 −124.018124564 
                 0.995673329 
                 AIR 
                 97.756 
               
               
                 17 
                 213.269322132 
                 24.422343766 
                 SILUV 
                 111.322 
               
               
                 18 
                 368.130596294 
                 326.268973067 
                 AIR 
                 110.123 
               
               
                 19 
                 −161.615015336 
                 14.998434538 
                 SILUV 
                 131.765 
               
               
                 20 
                 −312.345980956 
                 31.430358591 
                 AIR 
                 153.714 
               
               
                 21 
                 −214.602996812 
                 −31.430358591 
                 AIR 
                 155.986 
                 REFL 
               
               
                 22 
                 −312.345980956 
                 −14.998434538 
                 SILUV 
                 149.921 
               
               
                 23 
                 −161.615015336 
                 −238.077915164 
                 AIR 
                 116.301 
               
               
                 24 
                 149.287132498 
                 −14.998202246 
                 SILUV 
                 103.169 
               
               
                 25 
                 317.538289321 
                 −33.202694396 
                 AIR 
                 133.495 
               
               
                 26 
                 186.422421298 
                 33.202694396 
                 AIR 
                 137.843 
                 REFL 
               
               
                 27 
                 317.538289321 
                 14.998202246 
                 SILUV 
                 136.305 
               
               
                 28 
                 149.287132498 
                 324.504871734 
                 AIR 
                 116.434 
               
               
                 29 
                 304.025895186 
                 51.634530337 
                 SILUV 
                 102.695 
               
               
                 30 
                 −321.237280055 
                 36.471806645 
                 AIR 
                 101.284 
               
               
                 31 
                 −141.718556476 
                 14.999755253 
                 SILUV 
                 84.799 
               
               
                 32 
                 104.217593104 
                 30.610688625 
                 AIR 
                 74.074 
               
               
                 33 
                 581.141203674 
                 15.015591714 
                 SILUV 
                 75.850 
               
               
                 34 
                 −637.266899243 
                 22.019923725 
                 AIR 
                 78.058 
               
               
                 35 
                 −222.755672262 
                 20.582750922 
                 SILUV 
                 80.475 
               
               
                 36 
                 −149.492790226 
                 0.999906680 
                 AIR 
                 84.782 
               
               
                 37 
                 260.619344057 
                 25.604090348 
                 SILUV 
                 101.752 
               
               
                 38 
                 1033.029187190 
                 30.684011762 
                 AIR 
                 102.212 
               
               
                 39 
                 181.295872049 
                 62.489568781 
                 SILUV 
                 109.856 
               
               
                 40 
                 −319.175759184 
                 1.032697080 
                 AIR 
                 108.616 
               
               
                 41 
                 0.000000000 
                 24.649355928 
                 AIR 
                 99.183 
               
               
                 42 
                 241.322246262 
                 26.360109939 
                 SILUV 
                 88.680 
               
               
                 43 
                 −555.614152728 
                 2.010445644 
                 AIR 
                 85.697 
               
               
                 44 
                 77.526002487 
                 41.372376482 
                 SILUV 
                 67.268 
               
               
                 45 
                 494.197664171 
                 0.978420324 
                 AIR 
                 60.833 
               
               
                 46 
                 46.187199269 
                 35.625423750 
                 CAFUV 
                 39.405 
               
               
                 47 
                 0.000000000 
                 2.999559725 
                 H2OV 
                 20.942 
               
               
                 48 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.250 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
               
               
                   
               
               
                 3 
                 0.00000000e+000 
                 −8.36067621e−008 
                 2.12798795e−011 
                 −1.45207564e−015 
               
               
                 6 
                 0.00000000e+000 
                 7.69835587e−008 
                 2.07985891e−012 
                 1.16482389e−016 
               
               
                 7 
                 0.00000000e+000 
                 1.36850714e−007 
                 −9.44752603e−012 
                 −1.50977238e−016 
               
               
                 12 
                 0.00000000e+000 
                 7.53715484e−007 
                 −6.61209701e−011 
                 4.22074183e−015 
               
               
                 16 
                 0.00000000e+000 
                 −5.85261742e−008 
                 7.70941737e−013 
                 −1.40836094e−016 
               
               
                 29 
                 0.00000000e+000 
                 9.56507182e−008 
                 −2.16638529e−012 
                 −1.23753850e−017 
               
               
                 31 
                 0.00000000e+000 
                 1.85417093e−007 
                 −2.24667567e−012 
                 6.93769095e−017 
               
               
                 34 
                 0.00000000e+000 
                 1.66095759e−007 
                 2.43350203e−012 
                 8.88822140e−017 
               
               
                 39 
                 0.00000000e+000 
                 −3.25790615e−009 
                 −2.00206347e−012 
                 4.31870304e−017 
               
               
                 42 
                 0.00000000e+000 
                 −5.33787564e−008 
                 2.40117270e−012 
                 3.20136118e−016 
               
               
                 43 
                 0.00000000e+000 
                 1.13532739e−007 
                 −5.93286761e−012 
                 1.32296454e−015 
               
               
                 45 
                 0.00000000e+000 
                 8.97031378e−008 
                 2.47066509e−011 
                 −2.77876411e−016 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 C4 
                 C5 
                 C6 
               
               
                   
                   
               
               
                   
                  3 
                 7.63154357e−020 
                 2.95348560e−024 
                 −3.46561258e−028 
               
               
                   
                  6 
                 −4.80737790e−021 
                 5.59439946e−024 
                 −1.29197249e−028 
               
               
                   
                  7 
                 −5.84681939e−020 
                 7.86623559e−024 
                 −7.24516725e−028 
               
               
                   
                 12 
                 −8.02992365e−019 
                 −7.38686026e−022 
                 1.22771230e−025 
               
               
                   
                 16 
                 6.45911985e−021 
                 −3.82872278e−025 
                 4.17640461e−031 
               
               
                   
                 29 
                 2.58232933e−022 
                 −6.80943505e−025 
                 3.02935682e−029 
               
               
                   
                 31 
                 6.79498891e−020 
                 −6.82812342e−024 
                 2.20970580e−028 
               
               
                   
                 34 
                 2.60945386e−020 
                 −3.60666201e−024 
                 5.36227764e−028 
               
               
                   
                 39 
                 −2.48544823e−021 
                 5.50166118e−026 
                 −3.31463292e−031 
               
               
                   
                 42 
                 9.55299044e−021 
                 −9.27935397e−024 
                 8.13460411e−028 
               
               
                   
                 43 
                 −1.88960302e−019 
                 1.04299856e−023 
                 1.69382125e−028 
               
               
                   
                 45 
                 −7.08589002e−019 
                 1.20774587e−022 
                 −7.67132589e−027 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 17 
               
               
                   
               
               
                 NA = 1.2, β = 0.25 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 a 
                 b 
                 c 
               
               
                   
                   
               
               
                   
                 Field 
                 26 
                 5 
                 4.75 
               
               
                   
                   
               
            
           
           
               
               
               
            
               
                   
                 WL 
                 193.3 nm 
               
               
                   
                 SILUV 
                 1.56049116 
               
               
                   
                 CAFUV 
                 1.50110592 
               
               
                   
                 H2OV 
                 1.4368 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.997721704 
                 AIR 
                 65.000 
               
               
                 1 
                 579.464506139 
                 20.317824521 
                 SILUV 
                 74.592 
               
               
                 2 
                 −577.479988552 
                 0.999475036 
                 AIR 
                 75.821 
               
               
                 3 
                 2572.370914820 
                 28.040565960 
                 SILUV 
                 76.612 
               
               
                 4 
                 243.390586919 
                 11.985977074 
                 AIR 
                 79.119 
               
               
                 5 
                 500.676303821 
                 43.989139515 
                 SILUV 
                 80.893 
               
               
                 6 
                 −155.064044118 
                 21.184157632 
                 AIR 
                 82.707 
               
               
                 7 
                 1381.321630200 
                 18.191562266 
                 SILUV 
                 75.159 
               
               
                 8 
                 −393.944847792 
                 0.998449340 
                 AIR 
                 74.340 
               
               
                 9 
                 87.946501567 
                 40.892320851 
                 SILUV 
                 65.550 
               
               
                 10 
                 99.239178252 
                 25.553101192 
                 AIR 
                 52.382 
               
               
                 11 
                 209.138140913 
                 15.063951314 
                 SILUV 
                 45.950 
               
               
                 12 
                 −601.200979555 
                 66.005892131 
                 AIR 
                 42.845 
               
               
                 13 
                 −55.332841330 
                 14.999477956 
                 SILUV 
                 50.547 
               
               
                 14 
                 −72.577526567 
                 1.163693447 
                 AIR 
                 62.349 
               
               
                 15 
                 −346.873498438 
                 34.446292165 
                 SILUV 
                 80.990 
               
               
                 16 
                 −150.420697383 
                 2.645359711 
                 AIR 
                 86.680 
               
               
                 17 
                 611.326207207 
                 44.474569849 
                 SILUV 
                 99.391 
               
               
                 18 
                 −228.818841769 
                 265.128541011 
                 AIR 
                 100.925 
               
               
                 19 
                 −190.727371287 
                 15.000448317 
                 SILUV 
                 108.586 
               
               
                 20 
                 −237.320724749 
                 14.700965847 
                 AIR 
                 118.645 
               
               
                 21 
                 −194.872786703 
                 −14.700965847 
                 AIR 
                 120.611 
                 REFL 
               
               
                 22 
                 −237.320724749 
                 −15.000448317 
                 SILUV 
                 116.199 
               
               
                 23 
                 −190.727371287 
                 −195.428248584 
                 AIR 
                 100.830 
               
               
                 24 
                 190.727371287 
                 −15.000448317 
                 SILUV 
                 104.448 
               
               
                 25 
                 237.320724749 
                 −14.700965847 
                 AIR 
                 120.847 
               
               
                 26 
                 194.872786703 
                 14.700965847 
                 AIR 
                 124.569 
                 REFL 
               
               
                 27 
                 237.320724749 
                 15.000448317 
                 SILUV 
                 122.685 
               
               
                 28 
                 190.727371287 
                 266.167203345 
                 AIR 
                 111.392 
               
               
                 29 
                 315.808627637 
                 45.375871773 
                 SILUV 
                 95.944 
               
               
                 30 
                 −367.849317765 
                 64.350407265 
                 AIR 
                 94.229 
               
               
                 31 
                 −123.002265506 
                 14.998717744 
                 SILUV 
                 70.954 
               
               
                 32 
                 113.714722161 
                 32.318363032 
                 AIR 
                 68.389 
               
               
                 33 
                 −990.749351417 
                 21.237444356 
                 SILUV 
                 71.838 
               
               
                 34 
                 −292.571717802 
                 35.154029607 
                 AIR 
                 78.053 
               
               
                 35 
                 −18220.224013700 
                 40.604404749 
                 SILUV 
                 103.420 
               
               
                 36 
                 −201.028020704 
                 1.097799815 
                 AIR 
                 107.104 
               
               
                 37 
                 366.725287540 
                 37.745092677 
                 SILUV 
                 119.548 
               
               
                 38 
                 −961.362776974 
                 0.999856805 
                 AIR 
                 119.749 
               
               
                 39 
                 338.337923773 
                 38.019811036 
                 SILUV 
                 118.590 
               
               
                 40 
                 −1026.771599840 
                 −1.410077329 
                 AIR 
                 117.118 
               
               
                 41 
                 0.000000000 
                 12.743520660 
                 AIR 
                 115.541 
               
               
                 42 
                 280.022380007 
                 19.482737236 
                 SILUV 
                 110.210 
               
               
                 43 
                 1517.149279230 
                 1.197846646 
                 AIR 
                 108.733 
               
               
                 44 
                 719.327066326 
                 32.079810786 
                 SILUV 
                 107.695 
               
               
                 45 
                 −474.571764529 
                 2.724748590 
                 AIR 
                 105.913 
               
               
                 46 
                 89.479992014 
                 48.063302904 
                 SILUV 
                 75.467 
               
               
                 47 
                 364.001398221 
                 2.359587817 
                 AIR 
                 64.121 
               
               
                 48 
                 52.126874613 
                 39.040570663 
                 CAFUV 
                 42.333 
               
               
                 49 
                 0.000000000 
                 2.999196815 
                 H2OV 
                 20.183 
               
               
                 50 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.250 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 17A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
               
               
                   
               
               
                 6 
                 0.00000000e+000 
                 −1.15035308e−009 
                 6.18896918e−013 
                 −4.28285081e−016 
               
               
                 7 
                 0.00000000e+000 
                 −1.72652480e−008 
                 −3.70258486e−014 
                 −1.25882856e−015 
               
               
                 12 
                 0.00000000e+000 
                 3.77928406e−007 
                 1.46912216e−011 
                 2.33469503e−015 
               
               
                 16 
                 0.00000000e+000 
                 −6.96857458e−008 
                 −2.84037647e−012 
                 2.05085140e−017 
               
               
                 19 
                 0.00000000e+000 
                 −2.08753341e−008 
                 −3.76211193e−013 
                 −1.18384407e−017 
               
               
                 23 
                 0.00000000e+000 
                 −2.08753341e−008 
                 −3.76211193e−013 
                 −1.18384407e−017 
               
               
                 24 
                 0.00000000e+000 
                 2.08753341e−008 
                 3.76211193e−013 
                 1.18384407e−017 
               
               
                 28 
                 0.00000000e+000 
                 2.08753341e−008 
                 3.76211193e−013 
                 1.18384407e−017 
               
               
                 29 
                 0.00000000e+000 
                 7.78624253e−008 
                 −5.29798090e−013 
                 3.91516327e−018 
               
               
                 31 
                 0.00000000e+000 
                 4.28231334e−008 
                 1.84180203e−011 
                 2.69407820e−017 
               
               
                 34 
                 0.00000000e+000 
                 1.06085944e−007 
                 5.27851125e−012 
                 1.44463148e−016 
               
               
                 42 
                 0.00000000e+000 
                 −4.37269250e−008 
                 −1.57509731e−012 
                 8.65198568e−019 
               
               
                 45 
                 0.00000000e+000 
                 −9.15770551e−009 
                 −5.99358306e−014 
                 −2.27293408e−016 
               
               
                 47 
                 0.00000000e+000 
                 6.18789306e−008 
                 2.40430885e−011 
                 −5.44722370e−015 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 C4 
                 C5 
                 C6 
               
               
                   
                   
               
               
                   
                  6 
                 4.88391880e−021 
                 3.14518856e−024 
                 −2.05304958e−028 
               
               
                   
                  7 
                 1.13451047e−019 
                 −1.35997879e−023 
                 1.27061565e−027 
               
               
                   
                 12 
                 −6.54678942e−018 
                 3.46881149e−021 
                 −5.35085168e−025 
               
               
                   
                 16 
                 −1.26467485e−020 
                 4.46161412e−025 
                 −4.85676248e−029 
               
               
                   
                 19 
                 −1.88960591e−021 
                 1.06203954e−025 
                 −5.85068978e−030 
               
               
                   
                 23 
                 −1.88960591e−021 
                 1.06203954e−025 
                 −5.85068978e−030 
               
               
                   
                 24 
                 1.88960591e−021 
                 −1.06203954e−025 
                 5.85068978e−030 
               
               
                   
                 28 
                 1.88960591e−021 
                 −1.06203954e−025 
                 5.85068978e−030 
               
               
                   
                 29 
                 −1.04724068e−020 
                 6.70919693e−025 
                 −2.39519868e−029 
               
               
                   
                 31 
                 9.37813713e−020 
                 −2.33189316e−023 
                 9.94588095e−028 
               
               
                   
                 34 
                 1.26175655e−020 
                 −1.49657869e−024 
                 2.33032636e−028 
               
               
                   
                 42 
                 −3.26636505e−021 
                 2.73829199e−025 
                 2.06805365e−030 
               
               
                   
                 45 
                 2.70272716e−020 
                 −1.30446854e−024 
                 3.13007511e−029 
               
               
                   
                 47 
                 7.58602437e−019 
                 −6.94042849e−023 
                 2.94089737e−027 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 19 
               
               
                   
               
               
                 NA = 1.2, β = 0.25 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 a 
                 b 
                 c 
               
               
                   
                   
               
               
                   
                 Field 
                 26 
                 4.5 
                 4.75 
               
               
                   
                   
               
            
           
           
               
               
               
            
               
                   
                 WL 
                 193.3 nm 
               
               
                   
                 SILUV 
                 1.56049116 
               
               
                   
                 CAFUV 
                 1.50110592 
               
               
                   
                 H2OV 
                 1.4368 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                 ½ 
                   
               
               
                 face 
                 Radius 
                 Thickness 
                 Material 
                 Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.999270282 
                 AIR 
                 65.000 
               
               
                 1 
                 161.244041962 
                 14.998636035 
                 SILUV 
                 82.320 
               
               
                 2 
                 200.129661131 
                 4.944776020 
                 AIR 
                 81.953 
               
               
                 3 
                 138.221863276 
                 14.998396795 
                 SILUV 
                 85.474 
               
               
                 4 
                 156.496992798 
                 50.903040817 
                 AIR 
                 83.945 
               
               
                 5 
                 −173.315527687 
                 16.279875172 
                 SILUV 
                 84.438 
               
               
                 6 
                 −142.013268785 
                 1.000634788 
                 AIR 
                 87.160 
               
               
                 7 
                 15501.649257700 
                 32.544206280 
                 SILUV 
                 87.713 
               
               
                 8 
                 −158.845141838 
                 0.999631849 
                 AIR 
                 89.436 
               
               
                 9 
                 91.597097363 
                 67.410407247 
                 SILUV 
                 79.148 
               
               
                 10 
                 107.035143103 
                 13.851994874 
                 AIR 
                 57.324 
               
               
                 11 
                 213.854334447 
                 15.987143481 
                 SILUV 
                 54.995 
               
               
                 12 
                 −484.417010515 
                 72.563101783 
                 AIR 
                 51.059 
               
               
                 13 
                 −54.334592127 
                 14.997747797 
                 SILUV 
                 49.752 
               
               
                 14 
                 −68.072352503 
                 0.998695446 
                 AIR 
                 60.236 
               
               
                 15 
                 −601.365655277 
                 24.817582741 
                 SILUV 
                 80.082 
               
               
                 16 
                 −242.182339653 
                 0.995504271 
                 AIR 
                 83.903 
               
               
                 17 
                 920.810751329 
                 35.748197919 
                 SILUV 
                 91.860 
               
               
                 18 
                 −213.159366146 
                 55.021374074 
                 AIR 
                 93.280 
               
               
                 19 
                 246.612722217 
                 14.997702082 
                 SILUV 
                 89.716 
               
               
                 20 
                 222.836314969 
                 195.136099792 
                 AIR 
                 86.935 
               
               
                 21 
                 −235.528678750 
                 14.998801176 
                 SILUV 
                 123.772 
               
               
                 22 
                 −252.575360887 
                 16.051090308 
                 AIR 
                 131.942 
               
               
                 23 
                 −208.057958857 
                 −16.051090308 
                 AIR 
                 133.654 
                 REFL 
               
               
                 24 
                 −252.575360887 
                 −14.998801176 
                 SILUV 
                 128.868 
               
               
                 25 
                 −235.528678750 
                 −195.136099792 
                 AIR 
                 114.227 
               
               
                 26 
                 222.836314969 
                 −14.997702082 
                 SILUV 
                 106.191 
               
               
                 27 
                 246.612722217 
                 −15.024807366 
                 AIR 
                 119.874 
               
               
                 28 
                 190.206428127 
                 15.024807366 
                 AIR 
                 122.140 
                 REFL 
               
               
                 29 
                 246.612722217 
                 14.997702082 
                 SILUV 
                 120.950 
               
               
                 30 
                 222.836314969 
                 195.136099792 
                 AIR 
                 111.677 
               
               
                 31 
                 −235.528678750 
                 14.998801176 
                 SILUV 
                 83.094 
               
               
                 32 
                 −252.575360887 
                 56.045936568 
                 AIR 
                 86.484 
               
               
                 33 
                 370.979663784 
                 47.033021034 
                 SILUV 
                 99.224 
               
               
                 34 
                 −371.323272898 
                 62.417517206 
                 AIR 
                 97.788 
               
               
                 35 
                 −121.118365852 
                 14.999357361 
                 SILUV 
                 74.709 
               
               
                 36 
                 120.855315866 
                 33.365820253 
                 AIR 
                 72.995 
               
               
                 37 
                 20779.359547400 
                 24.110061836 
                 SILUV 
                 77.786 
               
               
                 38 
                 −269.244136428 
                 16.073764059 
                 AIR 
                 83.845 
               
               
                 39 
                 −236.048531861 
                 28.909364173 
                 SILUV 
                 86.677 
               
               
                 40 
                 −161.907128190 
                 8.188854525 
                 AIR 
                 94.856 
               
               
                 41 
                 842.230350676 
                 46.587674654 
                 SILUV 
                 117.052 
               
               
                 42 
                 −262.240874081 
                 3.490322496 
                 AIR 
                 119.226 
               
               
                 43 
                 374.311200849 
                 50.091253523 
                 SILUV 
                 123.021 
               
               
                 44 
                 −396.081152439 
                 −8.144186891 
                 AIR 
                 122.235 
               
               
                 45 
                 0.000000000 
                 9.143428258 
                 AIR 
                 118.495 
               
               
                 46 
                 290.815269675 
                 69.706490303 
                 SILUV 
                 113.550 
               
               
                 47 
                 −465.439617778 
                 0.998821533 
                 AIR 
                 106.611 
               
               
                 48 
                 84.362795313 
                 48.231691787 
                 SILUV 
                 73.577 
               
               
                 49 
                 220.065022009 
                 0.997153094 
                 AIR 
                 60.089 
               
               
                 50 
                 51.630320906 
                 38.562324381 
                 CAFUV 
                 42.677 
               
               
                 51 
                 0.000000000 
                 2.998760762 
                 H2OV 
                 20.925 
               
               
                 52 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.250 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 19A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
               
               
                   
               
               
                 6 
                 0.00000000e+000 
                 5.22123357e−008 
                 8.58887551e−013 
                 −4.54164064e−016 
               
               
                 7 
                 0.00000000e+000 
                 −5.20183796e−008 
                 −4.57191269e−012 
                 −4.91479340e−016 
               
               
                 12 
                 0.00000000e+000 
                 3.52517346e−007 
                 2.85321977e−011 
                 9.33189645e−017 
               
               
                 16 
                 0.00000000e+000 
                 −1.19054499e−007 
                 −6.17053971e−013 
                 8.29918331e−017 
               
               
                 20 
                 0.00000000e+000 
                 2.35880706e−008 
                 1.10625664e−014 
                 1.52718231e−017 
               
               
                 21 
                 0.00000000e+000 
                 −1.93271271e−008 
                 −1.21191457e−014 
                 −9.08764375e−018 
               
               
                 25 
                 0.00000000e+000 
                 −1.93271271e−008 
                 −1.21191457e−014 
                 −9.08764375e−018 
               
               
                 26 
                 0.00000000e+000 
                 2.35880706e−008 
                 1.10625664e−014 
                 1.52718231e−017 
               
               
                 30 
                 0.00000000e+000 
                 2.35880706e−008 
                 1.10625664e−014 
                 1.52718231e−017 
               
               
                 31 
                 0.00000000e+000 
                 −1.93271271e−008 
                 −1.21191457e−014 
                 −9.08764375e−018 
               
               
                 33 
                 0.00000000e+000 
                 1.34282593e−007 
                 −1.85430392e−012 
                 −4.26524890e−017 
               
               
                 35 
                 0.00000000e+000 
                 −2.95757718e−009 
                 1.59584067e−011 
                 −3.65004253e−016 
               
               
                 38 
                 0.00000000e+000 
                 1.44418264e−007 
                 4.50598204e−012 
                 −8.46201050e−019 
               
               
                 46 
                 0.00000000e+000 
                 −1.03608598e−008 
                 −1.39868032e−012 
                 −2.06257372e−017 
               
               
                 47 
                 0.00000000e+000 
                 −2.35449031e−008 
                 6.28466297e−017 
                 5.46615500e−020 
               
               
                 49 
                 0.00000000e+000 
                 1.18378675e−007 
                 2.25652288e−011 
                 −6.89451988e−015 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 C4 
                 C5 
                 C6 
               
               
                   
                   
               
               
                   
                  6 
                 1.80084384e−021 
                 −1.27939182e−025 
                 9.21858288e−029 
               
               
                   
                  7 
                 3.70354199e−020 
                 −2.59625588e−024 
                 −9.35416883e−031 
               
               
                   
                 12 
                 1.46216022e−018 
                 1.35490801e−022 
                 −4.07118530e−026 
               
               
                   
                 16 
                 −1.92366012e−020 
                 1.44946211e−024 
                 −4.85055808e−029 
               
               
                   
                 20 
                 4.13946988e−022 
                 −1.55058201e−026 
                 1.20806176e−030 
               
               
                   
                 21 
                 −5.34976868e−023 
                 −1.13872365e−027 
                 −9.05434146e−032 
               
               
                   
                 25 
                 −5.34976868e−023 
                 −1.13872365e−027 
                 −9.05434146e−032 
               
               
                   
                 26 
                 4.13946988e−022 
                 −1.55058201e−026 
                 1.20806176e−030 
               
               
                   
                 30 
                 4.13946988e−022 
                 −1.55058201e−026 
                 1.20806176e−030 
               
               
                   
                 31 
                 −5.34976868e−023 
                 −1.13872365e−027 
                 −9.05434146e−032 
               
               
                   
                 33 
                 2.28325758e−022 
                 −3.90557972e−026 
                 −2.65242779e−030 
               
               
                   
                 35 
                 2.40761278e−019 
                 −3.76176852e−023 
                 1.70246167e−027 
               
               
                   
                 38 
                 −5.19608735e−021 
                 −2.54791026e−025 
                 1.06081720e−028 
               
               
                   
                 46 
                 −1.69652628e−021 
                 1.44074754e−025 
                 2.91395857e−030 
               
               
                   
                 47 
                 5.71824030e−021 
                 −4.38179150e−025 
                 1.61431061e−029 
               
               
                   
                 49 
                 1.27155044e−018 
                 −1.75366514e−022 
                 1.10664062e−026 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 NA = 1.2, β = 0.25 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 a 
                 b 
                 c 
               
               
                   
                   
               
               
                   
                 Field 
                 26 
                 4.5 
                 4.75 
               
               
                   
                   
               
            
           
           
               
               
               
            
               
                   
                 WL 
                 193.3 nm 
               
               
                   
                 SILUV 
                 1.56049116 
               
               
                   
                 CAFUV 
                 1.50110592 
               
               
                   
                 H2OV 
                 1.4368 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                 ½ 
                   
               
               
                 face 
                 Radius 
                 Thickness 
                 Material 
                 Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 44.536474494 
                 AIR 
                 64.000 
               
               
                 1 
                 −145.614238159 
                 20.028968251 
                 SILUV 
                 71.569 
               
               
                 2 
                 −106.712344272 
                 3.165042254 
                 AIR 
                 75.720 
               
               
                 3 
                 −126.799930892 
                 14.997327707 
                 SILUV 
                 77.371 
               
               
                 4 
                 −400.529009983 
                 24.938975486 
                 AIR 
                 89.386 
               
               
                 5 
                 −153.978050679 
                 32.035367034 
                 SILUV 
                 91.679 
               
               
                 6 
                 −113.485754514 
                 3.962209737 
                 AIR 
                 96.767 
               
               
                 7 
                 481.661051100 
                 51.626847869 
                 SILUV 
                 109.810 
               
               
                 8 
                 −218.069217303 
                 0.986417498 
                 AIR 
                 110.501 
               
               
                 9 
                 95.461306806 
                 78.518887093 
                 SILUV 
                 88.224 
               
               
                 10 
                 197.024903934 
                 20.433893299 
                 AIR 
                 65.510 
               
               
                 11 
                 245.480984290 
                 15.389927680 
                 SILUV 
                 50.234 
               
               
                 12 
                 208.931069399 
                 52.005350380 
                 AIR 
                 39.571 
               
               
                 13 
                 −51.537539329 
                 25.208829578 
                 SILUV 
                 43.896 
               
               
                 14 
                 −67.256773583 
                 31.133045864 
                 AIR 
                 59.014 
               
               
                 15 
                 −353.059395237 
                 33.742142302 
                 SILUV 
                 97.721 
               
               
                 16 
                 −152.100516860 
                 1.776048462 
                 AIR 
                 102.828 
               
               
                 17 
                 −246.044785191 
                 45.384512544 
                 SILUV 
                 109.125 
               
               
                 18 
                 −136.487212093 
                 39.988466465 
                 AIR 
                 113.661 
               
               
                 19 
                 0.000000000 
                 201.398483236 
                 AIR 
                 114.931 
               
               
                 20 
                 −233.811577421 
                 14.982820253 
                 SILUV 
                 137.713 
               
               
                 21 
                 −370.567496646 
                 37.810813405 
                 AIR 
                 153.233 
               
               
                 22 
                 −216.552824900 
                 −37.810813405 
                 AIR 
                 155.425 
                 REFL 
               
               
                 23 
                 −370.567496646 
                 −14.982820253 
                 SILUV 
                 147.967 
               
               
                 24 
                 −233.811577421 
                 −201.398483236 
                 AIR 
                 120.238 
               
               
                 25 
                 168.695670563 
                 201.398483236 
                 AIR 
                 106.748 
                 REFL 
               
               
                 26 
                 −233.811577421 
                 14.982820253 
                 SILUV 
                 76.924 
               
               
                 27 
                 −370.567496646 
                 37.810813405 
                 AIR 
                 81.451 
               
               
                 28 
                 0.000000000 
                 40.022296005 
                 AIR 
                 92.209 
               
               
                 29 
                 241.209000864 
                 59.448832101 
                 SILUV 
                 108.950 
               
               
                 30 
                 −367.385238353 
                 16.411120649 
                 AIR 
                 108.057 
               
               
                 31 
                 357.895873274 
                 15.315252659 
                 SILUV 
                 93.192 
               
               
                 32 
                 94.401040596 
                 38.563342544 
                 AIR 
                 77.588 
               
               
                 33 
                 442.579628511 
                 14.989394891 
                 SILUV 
                 78.610 
               
               
                 34 
                 12021.837327700 
                 28.864129981 
                 AIR 
                 79.433 
               
               
                 35 
                 −191.074651244 
                 21.063184315 
                 SILUV 
                 81.221 
               
               
                 36 
                 −155.506376055 
                 9.229041305 
                 AIR 
                 86.157 
               
               
                 37 
                 185.464309512 
                 44.606063412 
                 SILUV 
                 101.263 
               
               
                 38 
                 −1150.340708410 
                 31.620758000 
                 AIR 
                 100.270 
               
               
                 39 
                 0.000000000 
                 −0.000000330 
                 AIR 
                 92.899 
               
               
                 40 
                 134.597113443 
                 29.097516432 
                 SILUV 
                 92.514 
               
               
                 41 
                 296.937234549 
                 3.458534424 
                 AIR 
                 90.494 
               
               
                 42 
                 150.878027709 
                 36.379168022 
                 SILUV 
                 87.171 
               
               
                 43 
                 −494.554249982 
                 0.979230496 
                 AIR 
                 84.334 
               
               
                 44 
                 65.631220570 
                 30.011852752 
                 SILUV 
                 57.267 
               
               
                 45 
                 126.706468270 
                 0.934188028 
                 AIR 
                 49.586 
               
               
                 46 
                 43.426322889 
                 31.956384174 
                 CAFUV 
                 36.843 
               
               
                 47 
                 0.000000000 
                 2.999915964 
                 H2OV 
                 20.807 
               
               
                 48 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.001 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
               
               
                   
               
               
                 1 
                 0.00000000e+000 
                 −1.87990337e−008 
                 −7.06178066e−012 
                 −1.25139326e−015 
               
               
                 6 
                 0.00000000e+000 
                 2.08430698e−009 
                 3.65727833e−013 
                 1.43149385e−018 
               
               
                 7 
                 0.00000000e+000 
                 1.33126997e−008 
                 −2.47997131e−012 
                 3.62223701e−017 
               
               
                 12 
                 0.00000000e+000 
                 6.92559246e−007 
                 1.01811160e−010 
                 4.16533262e−015 
               
               
                 16 
                 0.00000000e+000 
                 1.26266812e−008 
                 −7.60497043e−013 
                 5.26322462e−017 
               
               
                 20 
                 0.00000000e+000 
                 −2.84981575e−008 
                 5.16388350e−013 
                 −2.39579817e−017 
               
               
                 24 
                 0.00000000e+000 
                 −2.84981575e−008 
                 5.16388350e−013 
                 −2.39579817e−017 
               
               
                 26 
                 0.00000000e+000 
                 −2.84981575e−008 
                 5.16388350e−013 
                 −2.39579817e−017 
               
               
                 29 
                 0.00000000e+000 
                 1.10496506e−007 
                 −6.42644915e−012 
                 2.43910073e−016 
               
               
                 31 
                 0.00000000e+000 
                 −8.94334736e−008 
                 5.51621746e−012 
                 2.64317734e−016 
               
               
                 34 
                 0.00000000e+000 
                 7.27650226e−008 
                 5.05452869e−012 
                 2.12206759e−016 
               
               
                 42 
                 0.00000000e+000 
                 −5.69019750e−008 
                 −3.78079018e−012 
                 −3.58536429e−016 
               
               
                 43 
                 0.00000000e+000 
                 3.85631053e−008 
                 −1.96032685e−012 
                 −4.18174469e−016 
               
               
                 45 
                 0.00000000e+000 
                 1.32980535e−007 
                 6.98357216e−011 
                 −9.96688046e−015 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 C4 
                 C5 
                 C6 
               
               
                   
                   
               
               
                   
                 1 
                 1.04002349e−019 
                 1.61613724e−024 
                 −2.08243603e−028 
               
               
                   
                 6 
                 3.84125705e−021 
                 −4.35918853e−025 
                 5.89812982e−029 
               
               
                   
                 7 
                 −3.52780013e−022 
                 1.86263171e−025 
                 −7.15398794e−030 
               
               
                   
                 12 
                 2.76714831e−017 
                 −1.56122873e−020 
                 5.24368076e−024 
               
               
                   
                 16 
                 1.50861183e−021 
                 2.14471673e−025 
                 2.66224210e−030 
               
               
                   
                 20 
                 3.35275866e−022 
                 −8.50016423e−028 
                 −1.97442790e−031 
               
               
                   
                 24 
                 3.35275866e−022 
                 −8.50016423e−028 
                 −1.97442790e−031 
               
               
                   
                 26 
                 3.35275866e−022 
                 −8.50016423e−028 
                 −1.97442790e−031 
               
               
                   
                 29 
                 −1.98759724e−020 
                 8.00452148e−025 
                 −9.31628471e−030 
               
               
                   
                 31 
                 3.20019743e−020 
                 −4.26422117e−024 
                 1.50940276e−028 
               
               
                   
                 34 
                 5.08829476e−020 
                 −5.03622460e−024 
                 7.39342220e−028 
               
               
                   
                 42 
                 −4.25536201e−020 
                 2.42006208e−024 
                 1.84293028e−028 
               
               
                   
                 43 
                 9.23637376e−020 
                 −8.60875665e−024 
                 4.05098414e−028 
               
               
                   
                 45 
                 −3.10084571e−019 
                 1.88265675e−022 
                 −4.40640742e−026 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 21 
               
               
                   
               
               
                 NA = 1.2, β = 0.25 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                 a 
                 b 
                 c 
               
               
                   
                   
               
               
                   
                 Field 
                 26 
                 4.5 
                 4.75 
               
               
                   
                   
               
            
           
           
               
               
               
            
               
                   
                 WL 
                 193.3 nm 
               
               
                   
                 SILUV 
                 1.56049116 
               
               
                   
                 CAFUV 
                 1.50110592 
               
               
                   
                 H2OV 
                 1.4368 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.999392757 
                 AIR 
                 64.675 
               
               
                 1 
                 149.202932404 
                 20.120662646 
                 SILUV 
                 82.837 
               
               
                 2 
                 233.357095260 
                 1.010428853 
                 AIR 
                 82.195 
               
               
                 3 
                 172.529012606 
                 14.999455624 
                 SILUV 
                 83.021 
               
               
                 4 
                 153.116811658 
                 37.462782355 
                 AIR 
                 80.924 
               
               
                 5 
                 −385.292133909 
                 24.003915576 
                 SILUV 
                 81.802 
               
               
                 6 
                 −189.041850576 
                 1.014246919 
                 AIR 
                 84.223 
               
               
                 7 
                 −1521.447544300 
                 27.529894754 
                 SILUV 
                 83.808 
               
               
                 8 
                 −150.691487200 
                 0.999361796 
                 AIR 
                 85.384 
               
               
                 9 
                 89.238407847 
                 56.953687562 
                 SILUV 
                 75.993 
               
               
                 10 
                 101.329520927 
                 13.713067990 
                 AIR 
                 58.085 
               
               
                 11 
                 176.794820361 
                 18.039991299 
                 SILUV 
                 55.978 
               
               
                 12 
                 −447.950790449 
                 73.129977874 
                 AIR 
                 52.127 
               
               
                 13 
                 −57.595257960 
                 16.299538518 
                 SILUV 
                 50.436 
               
               
                 14 
                 −83.036630542 
                 0.999811850 
                 AIR 
                 64.360 
               
               
                 15 
                 −2287.430407510 
                 44.210083628 
                 SILUV 
                 86.772 
               
               
                 16 
                 −147.632600397 
                 0.998596167 
                 AIR 
                 92.132 
               
               
                 17 
                 −352.966686998 
                 32.886671205 
                 SILUV 
                 97.464 
               
               
                 18 
                 −153.824954969 
                 271.807415024 
                 AIR 
                 100.038 
               
               
                 19 
                 −238.525982305 
                 14.998824247 
                 SILUV 
                 122.669 
               
               
                 20 
                 −315.714610405 
                 19.998064817 
                 AIR 
                 131.899 
               
               
                 21 
                 −202.650261219 
                 −19.998064817 
                 AIR 
                 131.917 
                 REFL 
               
               
                 22 
                 −315.714610405 
                 −14.998824247 
                 SILUV 
                 131.852 
               
               
                 23 
                 −238.525982305 
                 −196.811186275 
                 AIR 
                 112.411 
               
               
                 24 
                 207.441141965 
                 −14.998504935 
                 SILUV 
                 107.771 
               
               
                 25 
                 268.178120713 
                 −19.998469851 
                 AIR 
                 124.363 
               
               
                 26 
                 193.196124575 
                 19.998469851 
                 AIR 
                 127.679 
                 REFL 
               
               
                 27 
                 268.178120713 
                 14.998504935 
                 SILUV 
                 125.948 
               
               
                 28 
                 207.441141965 
                 271.807924190 
                 AIR 
                 114.576 
               
               
                 29 
                 325.701461380 
                 38.709870586 
                 SILUV 
                 92.964 
               
               
                 30 
                 −885.381927410 
                 59.476563453 
                 AIR 
                 90.975 
               
               
                 31 
                 −123.867242183 
                 18.110373017 
                 SILUV 
                 74.226 
               
               
                 32 
                 126.359054159 
                 30.087671186 
                 AIR 
                 73.733 
               
               
                 33 
                 −16392.865249200 
                 31.626040348 
                 SILUV 
                 77.090 
               
               
                 34 
                 −299.592698534 
                 15.292623049 
                 AIR 
                 86.158 
               
               
                 35 
                 −296.842399050 
                 24.895495087 
                 SILUV 
                 89.777 
               
               
                 36 
                 −163.748333285 
                 8.131594074 
                 AIR 
                 94.529 
               
               
                 37 
                 675.259743609 
                 47.908987883 
                 SILUV 
                 116.712 
               
               
                 38 
                 −263.915255162 
                 1.054743285 
                 AIR 
                 118.641 
               
               
                 39 
                 356.010681144 
                 47.536295502 
                 SILUV 
                 120.712 
               
               
                 40 
                 −435.299476405 
                 3.543672029 
                 AIR 
                 119.727 
               
               
                 41 
                 0.000000000 
                 10.346485925 
                 AIR 
                 112.597 
               
               
                 42 
                 256.262375445 
                 67.382487780 
                 SILUV 
                 107.047 
               
               
                 43 
                 −454.037284452 
                 0.998990981 
                 AIR 
                 99.451 
               
               
                 44 
                 84.434680547 
                 36.424585989 
                 SILUV 
                 70.101 
               
               
                 45 
                 207.490725651 
                 0.997139930 
                 AIR 
                 62.005 
               
               
                 46 
                 50.112836179 
                 41.301883710 
                 CAFUV 
                 43.313 
               
               
                 47 
                 0.000000000 
                 2.999011124 
                 H2OV 
                 20.878 
               
               
                 48 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.169 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 21A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
               
               
                   
               
               
                 6 
                 0.00000000e+000 
                 5.47357338e−008 
                 1.50925239e−012 
                 −1.14128005e−015 
               
               
                 7 
                 0.00000000e+000 
                 −5.65236098e−008 
                 −4.45251739e−012 
                 −1.12368170e−015 
               
               
                 12 
                 0.00000000e+000 
                 3.75669258e−007 
                 2.00493160e−011 
                 −1.57617930e−015 
               
               
                 16 
                 0.00000000e+000 
                 −2.97247128e−008 
                 −1.16246607e−013 
                 1.91525676e−016 
               
               
                 19 
                 0.00000000e+000 
                 −1.79930163e−008 
                 −1.81456294e−014 
                 −6.42956161e−018 
               
               
                 23 
                 0.00000000e+000 
                 −1.79930163e−008 
                 −1.81456294e−014 
                 −6.42956161e−018 
               
               
                 24 
                 0.00000000e+000 
                 1.41712563e−008 
                 1.42766536e−013 
                 5.35849443e−018 
               
               
                 28 
                 0.00000000e+000 
                 1.41712563e−008 
                 1.42766536e−013 
                 5.35849443e−018 
               
               
                 29 
                 0.00000000e+000 
                 1.42833387e−007 
                 3.55808937e−014 
                 −1.23227147e−017 
               
               
                 31 
                 0.00000000e+000 
                 −1.51349602e−008 
                 1.62092054e−011 
                 −4.43234287e−016 
               
               
                 34 
                 0.00000000e+000 
                 1.39181850e−007 
                 3.36145772e−012 
                 −4.99179521e−017 
               
               
                 42 
                 0.00000000e+000 
                 −4.24593271e−009 
                 −1.84016360e−012 
                 −2.09008867e−017 
               
               
                 43 
                 0.00000000e+000 
                 −1.75350671e−008 
                 1.70435017e−014 
                 1.85876255e−020 
               
               
                 45 
                 0.00000000e+000 
                 4.03560215e−008 
                 2.57831806e−011 
                 −6.32742355e−015 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 C4 
                 C5 
                 C6 
               
               
                   
                   
               
               
                   
                 6 
                 2.03745939e−022 
                 −1.46491288e−024 
                 3.18476009e−028 
               
               
                   
                 7 
                 7.05334891e−020 
                 −6.42608755e−024 
                 4.64154513e−029 
               
               
                   
                 12 
                 2.00775938e−018 
                 −1.81218495e−022 
                 1.59512857e−028 
               
               
                   
                 16 
                 −5.42330199e−021 
                 4.84113906e−025 
                 −1.50564943e−030 
               
               
                   
                 19 
                 −1.72138657e−022 
                 4.34933124e−027 
                 −2.46030547e−031 
               
               
                   
                 23 
                 −1.72138657e−022 
                 4.34933124e−027 
                 −2.46030547e−031 
               
               
                   
                 24 
                 5.30493751e−022 
                 −2.04437497e−026 
                 1.09297996e−030 
               
               
                   
                 28 
                 5.30493751e−022 
                 −2.04437497e−026 
                 1.09297996e−030 
               
               
                   
                 29 
                 1.26320560e−021 
                 1.99476309e−025 
                 −1.46884711e−029 
               
               
                   
                 31 
                 2.01248512e−019 
                 −3.73070267e−023 
                 1.98749982e−027 
               
               
                   
                 34 
                 −8.18195448e−021 
                 4.05698527e−025 
                 4.11589492e−029 
               
               
                   
                 42 
                 −2.89704097e−021 
                 1.96863338e−025 
                 6.53807102e−030 
               
               
                   
                 43 
                 6.37197338e−021 
                 −5.19573140e−025 
                 2.34597624e−029 
               
               
                   
                 45 
                 9.55984243e−019 
                 −1.13622236e−022 
                 6.56644929e−027 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
             
               
                 TABLE 22 
               
               
                   
               
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
                 Type 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0 
                 0.000000000 
                 31.993696817 
                 AIR 
                 65.000 
                   
               
               
                 1 
                 0.000000000 
                 −0.006216437 
                 AIR 
                 75.178 
               
               
                 2 
                 173.245898492 
                 28.849219645 
                 SILUV 
                 80.701 
               
               
                 3 
                 −1901.645842520 
                 1.159056366 
                 AIR 
                 81.186 
               
               
                 4 
                 139.958280577 
                 17.383993593 
                 SILUV 
                 82.800 
               
               
                 5 
                 114.690720801 
                 65.798932682 
                 AIR 
                 78.012 
               
               
                 6 
                 177.803002075 
                 54.744184912 
                 SILUV 
                 88.979 
               
               
                 7 
                 −204.801382425 
                 0.997356478 
                 AIR 
                 88.078 
               
               
                 8 
                 89.450127459 
                 21.884550473 
                 SILUV 
                 62.734 
               
               
                 9 
                 143.066432170 
                 15.678153833 
                 AIR 
                 57.180 
               
               
                 10 
                 −13433.891703300 
                 15.000276693 
                 SILUV 
                 54.058 
               
               
                 11 
                 −8853.549440170 
                 13.872934681 
                 AIR 
                 46.493 
               
               
                 12 
                 0.000000000 
                 0.000000000 
                 AIR 
                 37.955 
               
               
                 13 
                 0.000000000 
                 61.755398574 
                 AIR 
                 38.009 
               
               
                 14 
                 −66.760883146 
                 14.994014816 
                 SILUV 
                 54.182 
               
               
                 15 
                 −72.012316741 
                 23.617101147 
                 AIR 
                 60.909 
               
               
                 16 
                 −63.807677134 
                 21.572901785 
                 SILUV 
                 62.830 
               
               
                 17 
                 −76.257505928 
                 1.720678480 
                 AIR 
                 75.095 
               
               
                 18 
                 1299.192911670 
                 55.482510512 
                 SILUV 
                 104.240 
               
               
                 19 
                 −148.321651349 
                 39.989348698 
                 AIR 
                 106.312 
               
               
                 20 
                 0.000000000 
                 232.380264110 
                 AIR 
                 95.929 
               
               
                 21 
                 −201.575622280 
                 −232.380264110 
                 AIR 
                 121.585 
                 REFL 
               
               
                 22 
                 199.702239038 
                 232.380264110 
                 AIR 
                 118.875 
                 REFL 
               
               
                 23 
                 0.000000000 
                 39.986853275 
                 AIR 
                 91.439 
               
               
                 24 
                 162.499205332 
                 44.748459237 
                 SILUV 
                 93.810 
               
               
                 25 
                 −2036.857320830 
                 1.012661476 
                 AIR 
                 91.212 
               
               
                 26 
                 141.444403824 
                 15.471017813 
                 SILUV 
                 77.784 
               
               
                 27 
                 167.499214725 
                 41.441314042 
                 AIR 
                 72.833 
               
               
                 28 
                 −106.505215697 
                 14.992253348 
                 SILUV 
                 70.530 
               
               
                 29 
                 98.946616742 
                 44.625025386 
                 AIR 
                 64.458 
               
               
                 30 
                 −139.301063148 
                 14.998444853 
                 SILUV 
                 66.132 
               
               
                 31 
                 −339.669887909 
                 0.997145626 
                 AIR 
                 79.298 
               
               
                 32 
                 1356.020956420 
                 23.905236106 
                 SILUV 
                 86.623 
               
               
                 33 
                 −340.109054698 
                 5.477848077 
                 AIR 
                 90.957 
               
               
                 34 
                 472.296115575 
                 52.138063579 
                 SILUV 
                 108.763 
               
               
                 35 
                 −222.876812950 
                 8.808100307 
                 AIR 
                 112.258 
               
               
                 36 
                 2053.528638090 
                 24.342755161 
                 SILUV 
                 119.824 
               
               
                 37 
                 −621.581254067 
                 1.014456714 
                 AIR 
                 120.910 
               
               
                 38 
                 210.455448779 
                 43.312493694 
                 SILUV 
                 124.650 
               
               
                 39 
                 −1489.901649750 
                 5.393215295 
                 AIR 
                 124.077 
               
               
                 40 
                 210.646045010 
                 47.972124824 
                 SILUV 
                 119.142 
               
               
                 41 
                 −627.180734089 
                 0.998977914 
                 AIR 
                 117.607 
               
               
                 42 
                 97.515291800 
                 53.409662718 
                 SILUV 
                 82.565 
               
               
                 43 
                 469.577208920 
                 0.998603706 
                 AIR 
                 69.163 
               
               
                 44 
                 58.393704585 
                 42.102914517 
                 CAFUV 
                 46.689 
               
               
                 45 
                 0.000000000 
                 3.001333990 
                 H2OV 
                 20.956 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 22A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 2 
                 Surface 5 
                 Surface 6 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 −4.85507054e−008 
                 C1 
                 4.63982284e−008 
                 C1 
                 7.93368538e−008 
               
               
                 C2 
                 8.30450606e−013 
                 C2 
                 −4.36308368e−016 
                 C2 
                 −3.49340213e−012 
               
               
                 C3 
                 −6.55835562e−016 
                 C3 
                 −4.56700150e−016 
                 C3 
                 −3.72450023e−016 
               
               
                 C4 
                 6.07754089e−020 
                 C4 
                 1.41944231e−020 
                 C4 
                 −1.50853577e−020 
               
               
                 C5 
                 −4.30736726e−024 
                 C5 
                 −2.58792066e−024 
                 C5 
                 4.35840155e−024 
               
               
                 C6 
                 9.97068342e−029 
                 C6 
                 2.91613493e−032 
                 C6 
                 −1.74914218e−028 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 11 
                 Surface 19 
                 Surface 21 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 3.21277393e−007 
                 C1 
                 1.27016347e−008 
                 C1 
                 1.00526801e−008 
               
               
                 C2 
                 2.34047891e−012 
                 C2 
                 4.09192710e−013 
                 C2 
                 1.78849410e−013 
               
               
                 C3 
                 1.48915392e−014 
                 C3 
                 2.48214285e−017 
                 C3 
                 2.48862104e−018 
               
               
                 C4 
                 −1.12960188e−017 
                 C4 
                 9.66053244e−022 
                 C4 
                 9.77481750e−023 
               
               
                 C5 
                 3.70333100e−021 
                 C5 
                 1.60329104e−027 
                 C5 
                 −3.23740664e−028 
               
               
                 C6 
                 −4.63366043e−025 
                 C6 
                 2.07652380e−030 
                 C6 
                 6.28188299e−032 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 22 
                 Surface 24 
                 Surface 28 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 −8.36189868e−009 
                 C1 
                 3.26436925e−008 
                 C1 
                 1.73452145e−007 
               
               
                 C2 
                 −1.86708153e−013 
                 C2 
                 9.95492740e−013 
                 C2 
                 9.62198511e−012 
               
               
                 C3 
                 −3.35782535e−018 
                 C3 
                 3.47886760e−017 
                 C3 
                 8.33010916e−016 
               
               
                 C4 
                 −6.14811355e−023 
                 C4 
                 6.60667009e−021 
                 C4 
                 −4.89738667e−020 
               
               
                 C5 
                 −6.72093224e−028 
                 C5 
                 −3.90366799e−025 
                 C5 
                 −2.08149618e−023 
               
               
                 C6 
                 −5.98449275e−032 
                 C6 
                 4.03156525e−029 
                 C6 
                 2.57941116e−027 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 31 
                 Surface 34 
                 Surface 38 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 1.28849399e−007 
                 C1 
                 −2.57944586e−008 
                 C1 
                 −1.91471943e−008 
               
               
                 C2 
                 4.99181087e−012 
                 C2 
                 7.33527637e−013 
                 C2 
                 −1.34589512e−012 
               
               
                 C3 
                 5.65181638e−017 
                 C3 
                 −5.33079171e−018 
                 C3 
                 3.11852582e−017 
               
               
                 C4 
                 2.64289484e−020 
                 C4 
                 −8.21688122e−022 
                 C4 
                 −2.35897615e−021 
               
               
                 C5 
                 −3.15869403e−024 
                 C5 
                 −2.94478649e−026 
                 C5 
                 6.73415544e−026 
               
               
                 C6 
                 −3.04781776e−029 
                 C6 
                 2.23217522e−030 
                 C6 
                 1.62707757e−030 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 40 
                 Surface 41 
                 Surface 43 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 −6.30346424e−008 
                 C1 
                 −2.41682461e−008 
                 C1 
                 1.25460964e−007 
               
               
                 C2 
                 −4.64729134e−013 
                 C2 
                 1.18102559e−013 
                 C2 
                 7.10922055e−012 
               
               
                 C3 
                 3.22359222e−017 
                 C3 
                 −1.34037856e−016 
                 C3 
                 −1.61078694e−015 
               
               
                 C4 
                 2.89305419e−023 
                 C4 
                 1.79602212e−020 
                 C4 
                 1.49634597e−019 
               
               
                 C5 
                 −2.15332629e−026 
                 C5 
                 −8.86179442e−025 
                 C5 
                 −1.71885653e−023 
               
               
                 C6 
                 8.39177392e−031 
                 C6 
                 1.89592509e−029 
                 C6 
                 1.04621563e−027 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 23 
               
               
                   
                   
               
             
            
               
                   
                 WL 
                 193.3 nm 
                 193.4 nm 
                 193.2 nm 
               
               
                   
                 SILUV 
                 1.560491 
                 1.560332 
                 1.560650 
               
               
                   
                 CAFUV 
                 1.501106 
                 1.501010 
                 1.501202 
               
               
                   
                 H2OV 
                 1.436800 
                 1.436800 
                 1.436800 
               
               
                   
                   
               
            
           
           
               
            
               
                 Ymax = 64.675 mm; NA = 1.2 
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                 ½ 
                   
               
               
                 face 
                 Radius 
                 Thickness 
                 Material 
                 Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 32.343320391 
                 AIR 
                 64.675 
               
               
                 1 
                 0.000000000 
                 0.319194773 
                 AIR 
                 74.840 
               
               
                 2 
                 165.502154849 
                 22.393605178 
                 SILUV 
                 81.725 
               
               
                 3 
                 427.564472229 
                 78.042155049 
                 AIR 
                 81.442 
               
               
                 4 
                 362.770694637 
                 28.092832019 
                 SILUV 
                 88.424 
               
               
                 5 
                 −418.998032701 
                 0.953143564 
                 AIR 
                 88.789 
               
               
                 6 
                 108.458706796 
                 42.211528711 
                 SILUV 
                 85.410 
               
               
                 7 
                 309.813567338 
                 43.976162585 
                 AIR 
                 80.542 
               
               
                 8 
                 440.563406352 
                 17.425727560 
                 SILUV 
                 60.495 
               
               
                 9 
                 −278.343745406 
                 54.725816031 
                 AIR 
                 56.963 
               
               
                 10 
                 −65.973394609 
                 15.012675322 
                 SILUV 
                 50.057 
               
               
                 11 
                 −89.483928231 
                 44.616098218 
                 AIR 
                 59.618 
               
               
                 12 
                 −164.547135387 
                 29.271100213 
                 SILUV 
                 82.247 
               
               
                 13 
                 −110.100956635 
                 0.995307980 
                 AIR 
                 86.942 
               
               
                 14 
                 −467.051029385 
                 33.374516855 
                 SILUV 
                 94.291 
               
               
                 15 
                 −156.421752282 
                 39.987151223 
                 AIR 
                 96.378 
               
               
                 16 
                 0.000000000 
                 229.883694545 
                 AIR 
                 89.855 
               
               
                 17 
                 −196.922423263 
                 −229.883694545 
                 AIR 
                 115.021 
                 REFL 
               
               
                 18 
                 196.894790764 
                 229.883694545 
                 AIR 
                 115.024 
                 REFL 
               
               
                 19 
                 0.000000000 
                 40.005209742 
                 AIR 
                 89.120 
               
               
                 20 
                 158.312187294 
                 42.217660752 
                 SILUV 
                 95.332 
               
               
                 21 
                 2467.131056460 
                 70.144222480 
                 AIR 
                 92.913 
               
               
                 22 
                 −160.335654972 
                 14.992560808 
                 SILUV 
                 73.410 
               
               
                 23 
                 116.412074936 
                 38.531709122 
                 AIR 
                 69.984 
               
               
                 24 
                 −250.712291671 
                 18.369318291 
                 SILUV 
                 71.881 
               
               
                 25 
                 −300.079780156 
                 31.051013458 
                 AIR 
                 80.817 
               
               
                 26 
                 5705.510103480 
                 24.334610155 
                 SILUV 
                 107.710 
               
               
                 27 
                 −458.981124329 
                 14.563800138 
                 AIR 
                 111.524 
               
               
                 28 
                 946.448274166 
                 62.249192106 
                 SILUV 
                 126.621 
               
               
                 29 
                 −192.486608755 
                 1.015402218 
                 AIR 
                 129.650 
               
               
                 30 
                 −4079.043797180 
                 15.732935333 
                 SILUV 
                 130.993 
               
               
                 31 
                 −1100.089935780 
                 14.595769901 
                 AIR 
                 131.283 
               
               
                 32 
                 0.000000000 
                 0.000000000 
                 AIR 
                 130.790 
               
               
                 33 
                 0.000000000 
                 −13.603116119 
                 AIR 
                 131.340 
               
               
                 34 
                 220.445900864 
                 51.281950308 
                 SILUV 
                 133.878 
               
               
                 35 
                 −1597.683074300 
                 5.271684397 
                 AIR 
                 133.124 
               
               
                 36 
                 215.527385603 
                 15.522171709 
                 SILUV 
                 124.678 
               
               
                 37 
                 314.221642044 
                 4.657196014 
                 AIR 
                 121.589 
               
               
                 38 
                 305.812344416 
                 42.963421749 
                 SILUV 
                 120.269 
               
               
                 39 
                 −771.778612980 
                 0.996840378 
                 AIR 
                 117.157 
               
               
                 40 
                 109.741348234 
                 43.192990855 
                 SILUV 
                 84.698 
               
               
                 41 
                 708.633799886 
                 6.161060319 
                 AIR 
                 76.900 
               
               
                 42 
                 66.404779509 
                 39.130193750 
                 CAFUV 
                 46.929 
               
               
                 43 
                 0.000000000 
                 2.999814914 
                 H2OV 
                 20.723 
               
               
                 44 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.171 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 23A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 3 
                 Surface 4 
                 Surface 9 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 5.16435696e−008 
                 C1 
                 9.50247881e−010 
                 C1 
                 1.24922845e−007 
               
               
                 C2 
                 −3.34181067e−012 
                 C2 
                 −3.73319015e−012 
                 C2 
                 1.54187542e−011 
               
               
                 C3 
                 3.14093710e−017 
                 C3 
                 −6.51837734e−017 
                 C3 
                 −3.69685941e−016 
               
               
                 C4 
                 −3.87421162e−022 
                 C4 
                 −7.93160821e−021 
                 C4 
                 1.37785719e−018 
               
               
                 C5 
                 −8.61200118e−027 
                 C5 
                 9.00091591e−025 
                 C5 
                 −3.60351270e−022 
               
               
                 C6 
                 −1.47089082e−029 
                 C6 
                 −1.92340271e−028 
                 C6 
                 2.85480659e−026 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 13 
                 Surface 17 
                 Surface 18 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 1.45134700e−009 
                 C1 
                 9.25585261e−009 
                 C1 
                 −8.29620456e−009 
               
               
                 C2 
                 1.24926632e−014 
                 C2 
                 1.67052938e−013 
                 C2 
                 −1.78159419e−013 
               
               
                 C3 
                 8.37553299e−018 
                 C3 
                 2.68611580e−018 
                 C3 
                 −3.07128696e−018 
               
               
                 C4 
                 2.49716672e−021 
                 C4 
                 1.04166910e−022 
                 C4 
                 −8.08505340e−023 
               
               
                 C5 
                 −2.66380030e−025 
                 C5 
                 −1.70724722e−027 
                 C5 
                 2.33488811e−028 
               
               
                 C6 
                 2.61815898e−029 
                 C6 
                 1.10260829e−031 
                 C6 
                 −8.31087015e−032 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 20 
                 Surface 22 
                 Surface 25 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 1.71573479e−008 
                 C1 
                 −9.04880266e−009 
                 C1 
                 1.11732794e−007 
               
               
                 C2 
                 5.87191967e−013 
                 C2 
                 3.31829223e−012 
                 C2 
                 5.01044308e−012 
               
               
                 C3 
                 3.53602344e−017 
                 C3 
                 −7.82564703e−017 
                 C3 
                 1.82247821e−016 
               
               
                 C4 
                 3.89188764e−021 
                 C4 
                 7.87650776e−020 
                 C4 
                 2.99282347e−021 
               
               
                 C5 
                 −2.56256746e−025 
                 C5 
                 −7.94502597e−024 
                 C5 
                 −2.06723334e−024 
               
               
                 C6 
                 2.81528130e−029 
                 C6 
                 2.40943558e−027 
                 C6 
                 2.32093750e−029 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                 Surface 28 
                 Surface 34 
                 Surface 36 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 K 
                 0.0000 
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                 C1 
                 −2.42933057e−008 
                 C1 
                 −8.91439687e−009 
                 C1 
                 −5.63334250e−008 
               
               
                 C2 
                 3.07041360e−014 
                 C2 
                 −7.33160527e−013 
                 C2 
                 −3.26907281e−013 
               
               
                 C3 
                 7.41003764e−018 
                 C3 
                 −4.83885006e−018 
                 C3 
                 9.72642980e−017 
               
               
                 C4 
                 −5.26534391e−022 
                 C4 
                 −2.37515306e−022 
                 C4 
                 4.30118073e−021 
               
               
                 C5 
                 1.17630052e−026 
                 C5 
                 2.33792040e−026 
                 C5 
                 −5.03894259e−025 
               
               
                 C6 
                 −1.17982545e−031 
                 C6 
                 −2.27854885e−032 
                 C6 
                 1.42974281e−029 
               
               
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 Surface 39 
                 Surface 41 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 K 
                 0.0000 
                 K 
                 0.0000 
               
               
                   
                 C1 
                 −1.21454753e−008 
                 C1 
                 4.06678857e−008 
               
               
                   
                 C2 
                 1.19750305e−012 
                 C2 
                 3.94505025e−012 
               
               
                   
                 C3 
                 −6.39990660e−017 
                 C3 
                 −2.03790398e−016 
               
               
                   
                 C4 
                 4.10753453e−021 
                 C4 
                 2.07246865e−020 
               
               
                   
                 C5 
                 −1.17680773e−025 
                 C5 
                 −3.19577553e−024 
               
               
                   
                 C6 
                 4.05203512e−030 
                 C6 
                 2.12601962e−028 
               
               
                   
                 C7 
                 0.00000000e+000 
                 C7 
                 0.00000000e+000 
               
               
                   
                 C8 
                 0.00000000e+000 
                 C8 
                 0.00000000e+000 
               
               
                   
                 C9 
                 0.00000000e+000 
                 C9 
                 0.00000000e+000 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 27 
               
             
            
               
                   
               
               
                 (EM28) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                   
                 ½ 
               
               
                 face 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 0.000000 
                   
                 −0.028411 
                 LUFTV193 
                 76.078 
               
               
                 2 
                 148.374584 
                 AS 
                 30.141343 
                 SIO2V 
                 82.524 
               
               
                 3 
                 2980.684122 
                   
                 2.731918 
                 N2VP950 
                 82.907 
               
               
                 4 
                 177.363525 
                   
                 46.196958 
                 SIO2V 
                 84.542 
               
               
                 5 
                 765.980001 
                 AS 
                 27.096346 
                 N2VP950 
                 80.837 
               
               
                 6 
                 2666.335118 
                   
                 22.841301 
                 SIO2V 
                 73.658 
               
               
                 7 
                 −291.755432 
                 AS 
                 0.990907 
                 N2VP950 
                 70.887 
               
               
                 8 
                 230.707988 
                   
                 26.508915 
                 SIO2V 
                 65.013 
               
               
                 9 
                 −298.406132 
                   
                 21.906961 
                 N2VP950 
                 61.389 
               
               
                 10 
                 −112.314548 
                   
                 10.039397 
                 SIO2V 
                 45.510 
               
               
                 11 
                 −118.846218 
                   
                 2.540087 
                 N2VP950 
                 43.187 
               
               
                 12 
                 0.000000 
                   
                 0.000000 
                 N2VP950 
                 35.411 
               
               
                 13 
                 0.000000 
                   
                 18.000000 
                 N2VP950 
                 35.411 
               
               
                 14 
                 0.000000 
                   
                 10.013160 
                 SIO2V 
                 46.508 
               
               
                 15 
                 0.000000 
                   
                 0.991399 
                 N2VP950 
                 50.085 
               
               
                 16 
                 237.566392 
                   
                 20.385633 
                 SIO2V 
                 54.619 
               
               
                 17 
                 −476.646043 
                   
                 28.746587 
                 N2VP950 
                 57.184 
               
               
                 18 
                 −81.332740 
                   
                 10.129443 
                 SIO2V 
                 59.250 
               
               
                 19 
                 −86.414601 
                   
                 0.995700 
                 N2VP950 
                 63.535 
               
               
                 20 
                 −2069.485733 
                 AS 
                 30.115541 
                 SIO2V 
                 71.732 
               
               
                 21 
                 −141.210644 
                   
                 0.983397 
                 N2VP950 
                 74.255 
               
               
                 22 
                 962.252932 
                 AS 
                 9.980083 
                 SIO2V 
                 74.793 
               
               
                 23 
                 819.084531 
                   
                 36.977869 
                 N2VP950 
                 75.040 
               
               
                 24 
                 0.000000 
                   
                 198.944441 
                 N2VP950 
                 77.850 
               
               
                 25 
                 −167.595461 
                 AS 
                 −198.944441 
                 REFL 
                 139.680 
               
               
                 26 
                 167.595461 
                 AS 
                 198.944441 
                 REFL 
                 111.811 
               
               
                 27 
                 0.000000 
                   
                 36.992449 
                 N2VP950 
                 110.123 
               
               
                 28 
                 268.305681 
                   
                 49.624605 
                 SIO2V 
                 123.343 
               
               
                 29 
                 −828.322347 
                 AS 
                 47.027120 
                 N2VP950 
                 122.544 
               
               
                 30 
                 327.800199 
                   
                 39.684648 
                 SIO2V 
                 108.912 
               
               
                 31 
                 −1269.440044 
                 AS 
                 0.995014 
                 N2VP950 
                 106.029 
               
               
                 32 
                 331.950903 
                   
                 9.989996 
                 SIO2V 
                 93.089 
               
               
                 33 
                 95.290319 
                   
                 49.810064 
                 N2VP950 
                 76.973 
               
               
                 34 
                 −442.703787 
                   
                 9.991655 
                 SIO2V 
                 76.737 
               
               
                 35 
                 143.501616 
                   
                 20.229593 
                 N2VP950 
                 77.748 
               
               
                 36 
                 483.451705 
                   
                 9.993273 
                 SIO2V 
                 79.933 
               
               
                 37 
                 241.810075 
                   
                 15.546146 
                 N2VP950 
                 84.505 
               
               
                 38 
                 928.401379 
                   
                 29.795388 
                 SIO2V 
                 88.441 
               
               
                 39 
                 −298.259102 
                 AS 
                 8.829909 
                 N2VP950 
                 94.008 
               
               
                 40 
                 −1812.559641 
                 AS 
                 29.628322 
                 SIO2V 
                 101.744 
               
               
                 41 
                 −270.502936 
                   
                 7.417032 
                 N2VP950 
                 107.779 
               
               
                 42 
                 −7682.999744 
                 AS 
                 45.892645 
                 SIO2V 
                 118.999 
               
               
                 43 
                 −231.286706 
                   
                 27.404554 
                 N2VP950 
                 122.729 
               
               
                 44 
                 449.487156 
                   
                 46.556603 
                 SIO2V 
                 134.549 
               
               
                 45 
                 −668.069375 
                   
                 1.250913 
                 N2VP950 
                 134.857 
               
               
                 46 
                 886.959900 
                 AS 
                 43.269922 
                 SIO2V 
                 133.822 
               
               
                 47 
                 −295.612418 
                   
                 0.987420 
                 N2VP950 
                 133.749 
               
               
                 48 
                 230.112826 
                   
                 44.287713 
                 SIO2V 
                 112.987 
               
               
                 49 
                 −2356.132765 
                 AS 
                 0.978312 
                 N2VP950 
                 108.183 
               
               
                 50 
                 92.104165 
                   
                 41.465221 
                 SIO2V 
                 76.439 
               
               
                 51 
                 253.332614 
                   
                 1.131452 
                 N2VP950 
                 67.260 
               
               
                 52 
                 84.180015 
                   
                 39.033045 
                 CAF2V193 
                 50.611 
               
               
                 53 
                 0.000000 
                   
                 3.000000 
                 H2OV193 
                 21.082 
               
               
                 54 
                 0.000000 
                   
                 0.000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 27A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 2 
                 5 
                 7 
                 20 
                 22 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −7.058653e−08 
                 −1.114728e−07 
                 1.398385e−07 
                 −1.149358e−08 
                 −5.629065e−08 
               
               
                 C2 
                 −2.984480e−12 
                 4.526601e−12 
                 −6.219606e−12 
                 −6.065516e−12 
                 1.905377e−12 
               
               
                 C3 
                 −1.303901e−16 
                 1.421882e−16 
                 3.410808e−16 
                 6.763250e−16 
                 −2.554160e−16 
               
               
                 C4 
                 −5.960748e−21 
                 −1.154537e−19 
                 3.575265e−20 
                 −7.651964e−20 
                 6.886775e−21 
               
               
                 C5 
                 −6.187687e−25 
                 1.628794e−23 
                 −2.900443e−23 
                 5.689563e−24 
                 −6.938594e−25 
               
               
                 C6 
                 8.668981e−29 
                 −6.255900e−28 
                 2.343745e−27 
                 −2.312648e−28 
                 −2.420574e−29 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 25 
                 26 
                 29 
                 31 
                 39 
               
               
                   
               
               
                 K 
                 −2.31378 
                 −2.31378 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −4.828221e−08 
                 4.828221e−08 
                 1.342570e−08 
                 −9.018801e−08 
                 3.278431e−08 
               
               
                 C2 
                 7.051572e−13 
                 −7.051572e−13 
                 −3.644532e−13 
                 6.045342e−12 
                 1.370822e−17 
               
               
                 C3 
                 −2.377185e−17 
                 2.377185e−17 
                 −2.375681e−18 
                 −1.273791e−16 
                 1.643036e−16 
               
               
                 C4 
                 6.284480e−22 
                 −6.284480e−22 
                 −3.970849e−22 
                 −2.702171e−21 
                 −2.021350e−20 
               
               
                 C5 
                 −1.385194e−26 
                 1.385194e−26 
                 −4.372813e−27 
                 3.262226e−25 
                 2.670722e−24 
               
               
                 C6 
                 1.514567e−31 
                 −1.514567e−31 
                 6.283103e−31 
                 −6.948598e−30 
                 −1.187217e−28 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 Surface 
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 40 
                 42 
                 46 
                 49 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 −5.316551e−08 
                 −1.954895e−09 
                 −4.282391e−08 
                 −3.095959e−08 
               
               
                   
                 C2 
                 −7.707570e−14 
                 5.606761e−14 
                 −1.948121e−13 
                 3.451241e−12 
               
               
                   
                 C3 
                 2.146900e−16 
                 −6.199304e−17 
                 7.664802e−17 
                 −1.219768e−16 
               
               
                   
                 C4 
                 −2.184878e−20 
                 3.478339e−21 
                 −2.354982e−21 
                 4.060098e−21 
               
               
                   
                 C5 
                 2.255720e−24 
                 −1.558932e−25 
                 1.361973e−26 
                 −9.053687e−26 
               
               
                   
                 C6 
                 −9.545251e−29 
                 4.899450e−30 
                 2.019923e−31 
                 1.610152e−30 
               
               
                   
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 28 
               
               
                   
               
               
                 (EM25) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 WL 
                 193.368 nm 
                 193.468 nm 
                 193.268 nm 
               
               
                   
                 SIO2V′ 
                 1.5607857 
                 1.56062813 
                 1.56094365 
               
               
                   
                 CAF2V193′ 
                 1.50175423 
                 1.50185255 
                 1.50195109 
               
               
                   
                 H2OV193′ 
                 1.4364632 
                 1.43667693 
                 1.43689123 
               
               
                   
                   
               
            
           
           
               
            
               
                 NA 1.2; Fmin = 18.63 mm; Fmax = 66 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½ Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.974939715 
                 AIR 
                 66.000 
               
               
                 1 
                 0.000000000 
                 −0.024765663 
                 AIR 
                 76.143 
               
               
                 2 
                 148.940822391 
                 31.463360093 
                 SIO2V 
                 83.171 
               
               
                 3 
                 6331.489300420 
                 40.453855135 
                 AIR 
                 83.210 
               
               
                 4 
                 928.302406310 
                 14.994423747 
                 SIO2V 
                 83.796 
               
               
                 5 
                 251.967918823 
                 13.753137508 
                 AIR 
                 83.372 
               
               
                 6 
                 172.912005335 
                 50.243372901 
                 SIO2V 
                 87.569 
               
               
                 7 
                 −197.856766081 
                 1.000964332 
                 AIR 
                 86.631 
               
               
                 8 
                 81.522536296 
                 17.681593406 
                 SIO2V 
                 65.574 
               
               
                 9 
                 88.327907526 
                 30.256558951 
                 AIR 
                 60.047 
               
               
                 10 
                 117.551427452 
                 18.843304175 
                 SIO2V 
                 50.042 
               
               
                 11 
                 855.507852453 
                 8.921765220 
                 AIR 
                 45.493 
               
               
                 12 
                 0.000000000 
                 0.000000000 
                 AIR 
                 37.552 
               
               
                 13 
                 0.000000000 
                 49.799403498 
                 AIR 
                 37.641 
               
               
                 14 
                 −56.887108985 
                 19.216557050 
                 SIO2V 
                 46.868 
               
               
                 15 
                 −153.952881762 
                 0.978745522 
                 AIR 
                 66.363 
               
               
                 16 
                 −10783.364868000 
                 53.980836551 
                 SIO2V 
                 79.120 
               
               
                 17 
                 −370.423261824 
                 5.444267505 
                 AIR 
                 97.662 
               
               
                 18 
                 −1928.185768980 
                 46.883883025 
                 SIO2V 
                 104.839 
               
               
                 19 
                 −156.534475362 
                 0.983619441 
                 AIR 
                 108.499 
               
               
                 20 
                 −2025.935551520 
                 37.434974978 
                 SIO2V 
                 114.116 
               
               
                 21 
                 −206.572644709 
                 34.979106092 
                 AIR 
                 115.758 
               
               
                 22 
                 0.000000000 
                 220.766423587 
                 AIR 
                 108.107 
               
               
                 23 
                 −187.624624543 
                 −220.766423587 
                 AIR 
                 140.612 
                 REFL 
               
               
                 24 
                 185.347836932 
                 220.766423587 
                 AIR 
                 130.980 
                 REFL 
               
               
                 25 
                 0.000000000 
                 38.094302401 
                 AIR 
                 87.940 
               
               
                 26 
                 572.857393641 
                 19.003060435 
                 SIO2V 
                 84.526 
               
               
                 27 
                 −2621.148115610 
                 0.995124659 
                 AIR 
                 83.267 
               
               
                 28 
                 286.158521436 
                 14.994640836 
                 SIO2V 
                 80.188 
               
               
                 29 
                 106.165691183 
                 42.739053946 
                 AIR 
                 72.275 
               
               
                 30 
                 −269.972769063 
                 14.994253287 
                 SIO2V 
                 72.751 
               
               
                 31 
                 217.103611286 
                 19.468009312 
                 AIR 
                 79.551 
               
               
                 32 
                 49574.268497900 
                 15.072135262 
                 SIO2V 
                 82.355 
               
               
                 33 
                 −1724.117745890 
                 7.993795407 
                 AIR 
                 87.009 
               
               
                 34 
                 −681.152171807 
                 39.742301517 
                 SIO2V 
                 89.501 
               
               
                 35 
                 −135.848489522 
                 0.995182990 
                 AIR 
                 93.025 
               
               
                 36 
                 729.076676327 
                 18.240313704 
                 SIO2V 
                 99.335 
               
               
                 37 
                 −1221.183105010 
                 8.112527507 
                 AIR 
                 100.052 
               
               
                 38 
                 470.281491581 
                 33.610782817 
                 SIO2V 
                 101.641 
               
               
                 39 
                 −393.774605114 
                 34.640728842 
                 AIR 
                 101.306 
               
               
                 40 
                 −135.515968276 
                 14.997016204 
                 SIO2V 
                 100.625 
               
               
                 41 
                 −242.973369762 
                 0.998166637 
                 AIR 
                 109.176 
               
               
                 42 
                 629.218885691 
                 33.238719341 
                 SIO2V 
                 114.327 
               
               
                 43 
                 −476.667589984 
                 1.000069241 
                 AIR 
                 114.673 
               
               
                 44 
                 609.210504505 
                 31.634185939 
                 SIO2V 
                 112.966 
               
               
                 45 
                 −463.558570174 
                 0.991784251 
                 AIR 
                 112.249 
               
               
                 46 
                 181.331821629 
                 26.489265851 
                 SIO2V 
                 99.538 
               
               
                 47 
                 478.467068575 
                 0.985154964 
                 AIR 
                 96.400 
               
               
                 48 
                 166.964883598 
                 32.619952496 
                 SIO2V 
                 90.254 
               
               
                 49 
                 34746.976265700 
                 0.961982243 
                 AIR 
                 86.267 
               
               
                 50 
                 65.547601143 
                 30.975153472 
                 SIO2V 
                 58.849 
               
               
                 51 
                 118.066733717 
                 1.052010322 
                 AIR 
                 51.946 
               
               
                 52 
                 68.706870791 
                 32.347686260 
                 CAF2V193 
                 43.646 
               
               
                 53 
                 0.000000000 
                 3.000000148 
                 H2OV193 
                 21.134 
               
               
                 54 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.501 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 28A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
                 C4 
               
               
                   
               
               
                 2 
                 0.00000000e+000 
                 −5.25595959e−008 
                 −5.05125696e−014 
                 −3.39834764e−016 
                 1.43455947e−022 
               
               
                 4 
                 0.00000000e+000 
                 −9.82547285e−009 
                 −3.46617126e−012 
                 4.26908111e−016 
                 8.30046581e−021 
               
               
                 7 
                 0.00000000e+000 
                 4.35702944e−008 
                 3.07328355e−012 
                 −6.64471080e−016 
                 8.46058187e−020 
               
               
                 11 
                 0.00000000e+000 
                 1.78059855e−008 
                 −4.49918001e−011 
                 −1.45873634e−015 
                 −5.93868926e−020 
               
               
                 15 
                 0.00000000e+000 
                 9.71039823e−009 
                 −5.80809116e−012 
                 1.66373755e−015 
                 −6.79295769e−020 
               
               
                 18 
                 0.00000000e+000 
                 −9.90188358e−009 
                 −3.63667799e−012 
                 4.39791888e−016 
                 −4.05829074e−020 
               
               
                 20 
                 0.00000000e+000 
                 −3.56668353e−008 
                 1.04282881e−012 
                 −3.79146258e−017 
                 1.77203987e−021 
               
               
                 23 
                 −1.00000000e+000 
                 0.00000000e+000 
                 0.00000000e+000 
                 0.00000000e+000 
                 0.00000000e+000 
               
               
                 24 
                 0.00000000e+000 
                 −4.12889632e−009 
                 −9.85960529e−014 
                 −2.94691200e−018 
                 −3.56770055e−025 
               
               
                 26 
                 0.00000000e+000 
                 2.84735678e−008 
                 8.22076690e−013 
                 8.98622393e−019 
                 1.63369077e−020 
               
               
                 36 
                 0.00000000e+000 
                 −3.45458233e−008 
                 7.01690612e−013 
                 2.53558597e−017 
                 −2.32833922e−023 
               
               
                 42 
                 0.00000000e+000 
                 6.80041144e−009 
                 −3.73953529e−014 
                 −4.59353922e−017 
                 3.53253945e−021 
               
               
                 47 
                 0.00000000e+000 
                 3.44340794e−008 
                 8.40449554e−013 
                 −3.72972761e−016 
                 3.22089615e−020 
               
               
                 49 
                 0.00000000e+000 
                 1.97298275e−008 
                 2.76921584e−012 
                 1.03703892e−016 
                 −5.16050166e−020 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 C5 
                 C6 
                 C7 
                 C8 
               
               
                   
               
               
                 2 
                 5.23175535e−024 
                 −1.25244222e−027 
                 1.21805557e−031 
                 −4.43910196e−036 
               
               
                 4 
                 −4.64399579e−024 
                 1.19810111e−027 
                 −1.78448775e−031 
                 9.48653785e−036 
               
               
                 7 
                 −6.78485826e−024 
                 2.18615691e−028 
                 1.27733528e−032 
                 −7.77343429e−037 
               
               
                 11 
                 2.10051516e−021 
                 −2.86208035e−027 
                 −1.14692199e−028 
                 −9.07436019e−033 
               
               
                 15 
                 4.67315167e−024 
                 1.33956477e−027 
                 −1.86319592e−031 
                 1.80116188e−036 
               
               
                 18 
                 3.14215669e−024 
                 −1.78747424e−028 
                 6.25454799e−033 
                 −9.94933562e−038 
               
               
                 20 
                 −1.02830257e−025 
                 1.63016234e−030 
                 9.47579264e−035 
                 −3.37443982e−039 
               
               
                 23 
                 0.00000000e+000 
                 0.00000000e+000 
                 0.00000000e+000 
                 0.00000000e+000 
               
               
                 24 
                 −4.97425291e−027 
                 1.63379520e−032 
                 3.42393048e−036 
                 −1.99876678e−040 
               
               
                 26 
                 −7.11352194e−024 
                 7.18534327e−028 
                 −1.59298542e−032 
                 −4.89537949e−037 
               
               
                 36 
                 2.60044530e−026 
                 −1.74079904e−030 
                 −4.85763706e−034 
                 2.78340967e−038 
               
               
                 42 
                 −9.74225973e−026 
                 9.00308701e−031 
                 0.00000000e+000 
                 0.00000000e+000 
               
               
                 47 
                 −2.63108130e−024 
                 2.07908763e−028 
                 −7.57742152e−033 
                 9.89130621e−038 
               
               
                 49 
                 8.50503256e−024 
                 −9.50392825e−028 
                 5.47302796e−032 
                 −1.31141198e−036 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 30 
               
             
            
               
                   
               
               
                 (EM29) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                   
                 ½ 
               
               
                 face 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 0.000000 
                   
                 −0.000674 
                 LV193975 
                 75.450 
               
               
                 2 
                 501.388885 
                 AS 
                 15.700263 
                 SIO2V 
                 76.793 
               
               
                 3 
                 −2140.989756 
                   
                 1.030768 
                 HEV19397 
                 78.495 
               
               
                 4 
                 142.094518 
                   
                 41.139801 
                 SIO2V 
                 86.380 
               
               
                 5 
                 4509.859821 
                 AS 
                 48.031590 
                 HEV19397 
                 84.694 
               
               
                 6 
                 294.047825 
                   
                 42.018849 
                 SIO2V 
                 75.299 
               
               
                 7 
                 −284.632088 
                 AS 
                 0.899132 
                 HEV19397 
                 70.073 
               
               
                 8 
                 196.950986 
                   
                 32.325473 
                 SIO2V 
                 62.732 
               
               
                 9 
                 −427.997978 
                 AS 
                 24.031073 
                 HEV19397 
                 55.024 
               
               
                 10 
                 0.000000 
                   
                 0.000000 
                 HEV19397 
                 35.604 
               
               
                 11 
                 0.000000 
                   
                 17.973629 
                 HEV19397 
                 35.604 
               
               
                 12 
                 0.000000 
                   
                 9.999076 
                 SIO2V 
                 45.185 
               
               
                 13 
                 0.000000 
                   
                 34.757744 
                 HEV19397 
                 48.346 
               
               
                 14 
                 997.955935 
                 AS 
                 34.646365 
                 SIO2V 
                 67.618 
               
               
                 15 
                 −300.927832 
                   
                 15.875609 
                 HEV19397 
                 75.070 
               
               
                 16 
                 −346.766852 
                 AS 
                 31.454835 
                 SIO2V 
                 80.051 
               
               
                 17 
                 −123.279874 
                   
                 36.439684 
                 HEV19397 
                 83.364 
               
               
                 18 
                 0.000000 
                   
                 205.977742 
                 HEV19397 
                 86.638 
               
               
                 19 
                 −174.397052 
                 AS 
                 −205.977742 
                 REFL 
                 131.209 
               
               
                 20 
                 170.274411 
                 AS 
                 205.977742 
                 REFL 
                 116.516 
               
               
                 21 
                 0.000000 
                   
                 37.095745 
                 HEV19397 
                 97.388 
               
               
                 22 
                 437.401009 
                   
                 36.383480 
                 SIO2V 
                 104.301 
               
               
                 23 
                 −468.489757 
                   
                 45.906894 
                 HEV19397 
                 104.284 
               
               
                 4 
                 −1223.579996 
                   
                 21.742866 
                 SIO2V 
                 97.101 
               
               
                 5 
                 −511.114441 
                 AS 
                 8.072398 
                 HEV19397 
                 96.542 
               
               
                 26 
                 432.469418 
                   
                 10.004999 
                 SIO2V 
                 85.308 
               
               
                 27 
                 102.889104 
                   
                 42.520104 
                 HEV19397 
                 75.234 
               
               
                 28 
                 −594.379481 
                   
                 9.996510 
                 SIO2V 
                 75.720 
               
               
                 29 
                 174.356867 
                   
                 19.418323 
                 HEV19397 
                 79.411 
               
               
                 30 
                 715.897359 
                   
                 10.937733 
                 SIO2V 
                 82.556 
               
               
                 31 
                 324.211087 
                   
                 13.818484 
                 HEV19397 
                 88.129 
               
               
                 32 
                 1110.064311 
                   
                 30.443596 
                 SIO2V 
                 93.022 
               
               
                 33 
                 −264.206409 
                 AS 
                 7.862028 
                 HEV19397 
                 97.550 
               
               
                 34 
                 −1190.503106 
                 AS 
                 29.935994 
                 SIO2V 
                 104.823 
               
               
                 35 
                 −237.772522 
                   
                 11.246604 
                 HEV19397 
                 110.038 
               
               
                 36 
                 10331.864054 
                 AS 
                 39.860150 
                 SIO2V 
                 122.900 
               
               
                 37 
                 −277.281811 
                   
                 10.852741 
                 HEV19397 
                 125.931 
               
               
                 38 
                 214450.764260 
                   
                 31.052526 
                 SIO2V 
                 131.630 
               
               
                 9 
                 −428.573007 
                   
                 13.316274 
                 HEV19397 
                 132.643 
               
               
                 40 
                 751.599719 
                   
                 33.094141 
                 SIO2V 
                 133.007 
               
               
                 41 
                 −805.999226 
                   
                 1.057548 
                 HEV19397 
                 132.758 
               
               
                 42 
                 914.688148 
                 AS 
                 40.568688 
                 SIO2V 
                 130.742 
               
               
                 43 
                 −348.277386 
                   
                 0.878766 
                 HEV19397 
                 129.732 
               
               
                 44 
                 219.106958 
                   
                 38.836424 
                 SIO2V 
                 108.095 
               
               
                 45 
                 2357.913334 
                 AS 
                 1.971079 
                 HEV19397 
                 102.766 
               
               
                 46 
                 85.554437 
                   
                 39.388562 
                 SIO2V 
                 72.129 
               
               
                 47 
                 193.092045 
                   
                 0.892017 
                 HEV19397 
                 62.113 
               
               
                 48 
                 83.536468 
                   
                 37.250760 
                 CAF2V193 
                 49.390 
               
               
                 49 
                 0.000000 
                   
                 0.300000 
                 SIO2V 
                 21.410 
               
               
                 50 
                 0.000000 
                   
                 0.000000 
                 SIO2V 
                 21.050 
               
               
                 51 
                 0.000000 
                   
                 3.000000 
                 H2OV193B 
                 21.050 
               
               
                 52 
                 0.000000 
                   
                 0.000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 30A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 2 
                 5 
                 7 
                 9 
                 14 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 1.84398 
                 0 
               
               
                 C1 
                 −4.426813e−08 
                 −2.968289e−08 
                 1.574555e−07 
                 1.174665e−07 
                 −3.306265e−08 
               
               
                 C2 
                 −6.238723e−13 
                 5.914537e−12 
                 −1.371133e−11 
                 5.249946e−12 
                 −1.008549e−12 
               
               
                 C3 
                 5.373027e−21 
                 −2.636410e−17 
                 7.979944e−16 
                 0.000000e+00 
                 −2.352647e−16 
               
               
                 C4 
                 5.520432e−21 
                 −2.348783e−20 
                 −1.733518e−21 
                 0.000000e+00 
                 2.617179e−25 
               
               
                 C5 
                 −4.165047e−25 
                 1.589258e−24 
                 −1.045941e−23 
                 0.000000e+00 
                 −1.275061e−24 
               
               
                 C6 
                 −2.539882e−29 
                 −3.710160e−29 
                 1.048551e−27 
                 0.000000e+00 
                 7.076571e−29 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 Surface 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 16 
                 19 
                 20 
                 25 
                 33 
               
               
                   
               
               
                 K 
                 0 
                 −2.01302 
                 −2.06565 
                 0 
                 0 
               
               
                 C1 
                 −4.975918e−08 
                 −3.276866e−08 
                 4.322230e−08 
                 −1.196195e−07 
                 2.211028e−08 
               
               
                 C2 
                 1.193440e−12 
                 3.671721e−13 
                 −3.203678e−13 
                 6.474093e−12 
                 7.931065e−13 
               
               
                 C3 
                 −3.326252e−18 
                 −8.127219e−18 
                 1.331133e−17 
                 −2.172807e−16 
                 2.746964e−17 
               
               
                 C4 
                 5.194442e−21 
                 1.823894e−22 
                 −2.254203e−22 
                 5.562468e−21 
                 −3.773718e−21 
               
               
                 C5 
                 7.844572e−25 
                 −2.990635e−27 
                 4.731338e−27 
                 4.566785e−26 
                 8.556577e−25 
               
               
                 C6 
                 −3.910445e−29 
                 4.402752e−32 
                 −3.185999e−32 
                 −6.729599e−30 
                 −5.193468e−29 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 Surface 
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                   
                 34 
                 36 
                 42 
                 45 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 −6.109386e−08 
                 −2.940384e−09 
                 −3.072861e−08 
                 −4.317432e−08 
               
               
                   
                 C2 
                 1.186926e−12 
                 −1.302883e−13 
                 1.225198e−13 
                 5.093533e−12 
               
               
                   
                 C3 
                 9.338913e−17 
                 −7.457684e−17 
                 6.438064e−17 
                 −2.542515e−16 
               
               
                   
                 C4 
                 −8.049754e−21 
                 4.922730e−21 
                 −2.717739e−21 
                 1.185033e−20 
               
               
                   
                 C5 
                 7.964565e−25 
                 −1.822077e−25 
                 3.936453e−26 
                 −3.870604e−25 
               
               
                   
                 C6 
                 −3.877045e−29 
                 3.491116e−30 
                 −1.518766e−31 
                 7.346646e−30 
               
               
                   
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 31 
               
             
            
               
                   
               
               
                 (EM29) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Sur- 
                   
                   
                   
                   
                 ½ 
               
               
                 face 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 0.000000 
                   
                 −0.012399 
                 LV193975 
                 75.472 
               
               
                 2 
                 154.966472 
                 AS 
                 24.304901 
                 SIO2V 
                 82.008 
               
               
                 3 
                 529.820026 
                   
                 2.090993 
                 HEV19397 
                 82.074 
               
               
                 4 
                 150.769271 
                   
                 40.595812 
                 SIO2V 
                 84.201 
               
               
                 5 
                 5646.002857 
                   
                 29.581615 
                 HEV19397 
                 81.519 
               
               
                 6 
                 −1210.857565 
                   
                 22.741810 
                 SIO2V 
                 74.381 
               
               
                 7 
                 −182.994045 
                 AS 
                 34.025994 
                 HEV19397 
                 72.364 
               
               
                 8 
                 173.187773 
                   
                 25.484337 
                 SIO2V 
                 52.132 
               
               
                 9 
                 −296.185557 
                   
                 22.382287 
                 HEV19397 
                 47.253 
               
               
                 10 
                 0.000000 
                   
                 10.110510 
                 SIO2V 
                 44.035 
               
               
                 11 
                 0.000000 
                   
                 17.152556 
                 HEV19397 
                 46.863 
               
               
                 12 
                 51884.400557 
                 AS 
                 16.631540 
                 SIO2V 
                 54.537 
               
               
                 13 
                 −361.923018 
                   
                 63.995754 
                 HEV19397 
                 58.291 
               
               
                 14 
                 −878.387785 
                 AS 
                 34.625490 
                 SIO2V 
                 82.453 
               
               
                 15 
                 −136.078636 
                   
                 36.436642 
                 HEV19397 
                 85.494 
               
               
                 16 
                 0.000000 
                   
                 196.253966 
                 HEV19397 
                 89.191 
               
               
                 17 
                 −182.153238 
                 AS 
                 −196.253966 
                 REFL 
                 149.252 
               
               
                 18 
                 150.956725 
                 AS 
                 196.253966 
                 REFL 
                 101.676 
               
               
                 19 
                 0.000000 
                   
                 36.446112 
                 HEV19397 
                 104.396 
               
               
                 20 
                 333.439228 
                   
                 55.820683 
                 SIO2V 
                 116.602 
               
               
                 21 
                 −309.405465 
                   
                 37.869545 
                 HEV19397 
                 116.527 
               
               
                 22 
                 −424.165104 
                   
                 20.518575 
                 SIO2V 
                 104.186 
               
               
                 23 
                 −285.104268 
                 AS 
                 0.896321 
                 HEV19397 
                 103.405 
               
               
                 24 
                 635.351851 
                   
                 9.997637 
                 SIO2V 
                 92.108 
               
               
                 25 
                 107.969149 
                   
                 40.308038 
                 HEV19397 
                 80.454 
               
               
                 26 
                 389.814743 
                   
                 9.996225 
                 SIO2V 
                 82.006 
               
               
                 27 
                 152.951561 
                   
                 26.349381 
                 HEV19397 
                 81.938 
               
               
                 28 
                 1310.914891 
                   
                 9.999638 
                 SIO2V 
                 84.278 
               
               
                 29 
                 275.521100 
                   
                 17.511021 
                 HEV19397 
                 89.677 
               
               
                 30 
                 1763.795762 
                   
                 26.773314 
                 SIO2V 
                 93.617 
               
               
                 31 
                 −289.165601 
                 AS 
                 9.639413 
                 HEV19397 
                 97.853 
               
               
                 32 
                 −1578.752955 
                 AS 
                 27.680692 
                 SIO2V 
                 106.237 
               
               
                 33 
                 −272.338400 
                   
                 9.732573 
                 HEV19397 
                 110.951 
               
               
                 34 
                 −3842.769867 
                 AS 
                 35.516033 
                 SIO2V 
                 122.549 
               
               
                 35 
                 −314.937511 
                   
                 28.595034 
                 HEV19397 
                 125.359 
               
               
                 36 
                 889.868029 
                   
                 47.614171 
                 SIO2V 
                 135.827 
               
               
                 37 
                 −355.067891 
                   
                 −12.204373 
                 HEV19397 
                 136.279 
               
               
                 38 
                 0.000000 
                   
                 0.000000 
                 HEV19397 
                 133.729 
               
               
                 39 
                 0.000000 
                   
                 28.717983 
                 HEV19397 
                 133.729 
               
               
                 40 
                 574.174423 
                 AS 
                 45.539693 
                 SIO2V 
                 132.500 
               
               
                 41 
                 −344.516223 
                   
                 0.852315 
                 HEV19397 
                 132.025 
               
               
                 42 
                 204.978326 
                   
                 45.863613 
                 SIO2V 
                 111.958 
               
               
                 43 
                 −6283.361425 
                 AS 
                 0.828469 
                 HEV19397 
                 106.831 
               
               
                 44 
                 87.555579 
                   
                 40.313564 
                 SIO2V 
                 74.022 
               
               
                 45 
                 201.419511 
                   
                 0.722913 
                 HEV19397 
                 64.044 
               
               
                 46 
                 86.647656 
                   
                 38.420734 
                 CAF2V193 
                 50.908 
               
               
                 47 
                 0.000000 
                   
                 0.300000 
                 SIO2V 
                 21.485 
               
               
                 48 
                 0.000000 
                   
                 0.000000 
                 SIO2V 
                 21.121 
               
               
                 49 
                 0.000000 
                   
                 3.000000 
                 H2OV193B 
                 21.121 
               
               
                 50 
                 0.000000 
                   
                 0.000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 31A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 2 
                 7 
                 12 
                 14 
                 17 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 −205.145 
               
               
                 C1 
                 −5.06E−02 
                 1.55E−01 
                      −6.58E−02 
                 −3.99E−02 
                      −3.00E−02 
               
               
                 C2 
                 −1.36E−06 
                 −4.50E−06  
                   6.94E−07 
                  7.46E−07 
                   3.06E−07 
               
               
                 C3 
                 −1.39E−10 
                 2.86E−10 
                      −8.42E−10 
                 −4.18E−11 
                      −7.06E−12 
               
               
                 C4 
                  2.02E−14 
                 3.18E−14 
                   3.01E−14 
                 −4.94E−18 
                   1.35E−16 
               
               
                 C5 
                 −1.21E−18 
                 −4.70E−18  
                   9.27E−20 
                  2.51E−19 
                      −2.46E−21 
               
               
                 C6 
                  7.59E−23 
                 2.24E−22 
                      −5.52E−22 
                 −2.26E−23 
                   2.42E−26 
               
               
                 C7 
                 0.000000e+00       
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00       
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00       
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 18 
                 23 
                 31 
                 32 
                 34 
               
               
                   
               
               
                 K 
                 −19.986 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                   5.81E−02 
                      −5.44E−02 
                 2.45E−02 
                      −6.17E−02 
                   2.25E−02 
               
               
                 C2 
                      −5.04E−07 
                   5.13E−06 
                 5.17E−07 
                   1.84E−06 
                      −1.23E−06 
               
               
                 C3 
                   2.61E−11 
                      −2.58E−10 
                 4.76E−11 
                   9.77E−11 
                      −5.97E−11 
               
               
                 C4 
                      −5.07E−16 
                   1.19E−14 
                 −1.55E−15  
                      −8.36E−15 
                   6.09E−15 
               
               
                 C5 
                   1.40E−20 
                      −3.68E−19 
                 8.15E−19 
                   8.28E−19 
                      −2.59E−19 
               
               
                 C6 
                      −4.71E−26 
                   5.92E−24 
                 −4.46E−23  
                      −3.91E−23 
                   5.18E−24 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface 
                 40 
                 43 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
               
               
                   
                 C1 
                 −3.76E−02  
                      −2.60E−02 
               
               
                   
                 C2 
                 7.18E−08 
                   3.27E−06 
               
               
                   
                 C3 
                 5.92E−11 
                      −1.25E−10 
               
               
                   
                 C4 
                 −1.80E−15  
                   4.09E−15 
               
               
                   
                 C5 
                 7.98E−21 
                      −8.18E−20 
               
               
                   
                 C6 
                 1.92E−25 
                   8.62E−25 
               
               
                   
                 C7 
                 0.000000e+00   
                 0.000000e+00 
               
               
                   
                 C8 
                 0.000000e+00   
                 0.000000e+00 
               
               
                   
                 C9 
                 0.000000e+00   
                 0.000000e+00 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 32 
               
             
            
               
                   
               
               
                 (EM29) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 0.000000 
                   
                 −0.011620 
                 LV193975 
                 75.462 
               
               
                 2 
                 585.070331 
                 AS 
                 17.118596 
                 SIO2V 
                 76.447 
               
               
                 3 
                 −766.901651 
                   
                 0.890161 
                 HEV19397 
                 78.252 
               
               
                 4 
                 145.560665 
                   
                 45.675278 
                 SIO2V 
                 85.645 
               
               
                 5 
                 2818.543789 
                 AS 
                 40.269525 
                 HEV19397 
                 83.237 
               
               
                 6 
                 469.396236 
                   
                 29.972759 
                 SIO2V 
                 75.894 
               
               
                 7 
                 −193.297708 
                 AS 
                 21.997025 
                 HEV19397 
                 73.717 
               
               
                 8 
                 222.509238 
                   
                 27.666963 
                 SIO2V 
                 57.818 
               
               
                 9 
                 −274.231957 
                   
                 31.483375 
                 HEV19397 
                 52.595 
               
               
                 10 
                 0.000000 
                   
                 10.117766 
                 SIO2V 
                 44.115 
               
               
                 11 
                 0.000000 
                   
                 15.361487 
                 HEV19397 
                 47.050 
               
               
                 12 
                 26971.109897 
                 AS 
                 14.803554 
                 SIO2V 
                 54.127 
               
               
                 13 
                 −562.070426 
                   
                 45.416373 
                 HEV19397 
                 58.058 
               
               
                 14 
                 −510.104298 
                 AS 
                 35.926312 
                 SIO2V 
                 76.585 
               
               
                 15 
                 −118.683707 
                   
                 36.432152 
                 HEV19397 
                 80.636 
               
               
                 16 
                 0.000000 
                   
                 199.241665 
                 HEV19397 
                 86.561 
               
               
                 17 
                 −181.080772 
                 AS 
                 −199.241665 
                 REFL 
                 147.684 
               
               
                 18 
                 153.434246 
                 AS 
                 199.241665 
                 REFL 
                 102.596 
               
               
                 19 
                 0.000000 
                   
                 36.432584 
                 HEV19397 
                 105.850 
               
               
                 20 
                 408.244008 
                   
                 54.279598 
                 SIO2V 
                 118.053 
               
               
                 21 
                 −296.362521 
                   
                 34.669451 
                 HEV19397 
                 118.398 
               
               
                 22 
                 −1378.452784 
                   
                 22.782283 
                 SIO2V 
                 106.566 
               
               
                 23 
                 −533.252331 
                 AS 
                 0.892985 
                 HEV19397 
                 105.292 
               
               
                 24 
                 247.380841 
                   
                 9.992727 
                 SIO2V 
                 92.481 
               
               
                 25 
                 103.088603 
                   
                 45.957039 
                 HEV19397 
                 80.536 
               
               
                 26 
                 −1832.351074 
                   
                 9.992069 
                 SIO2V 
                 80.563 
               
               
                 27 
                 151.452362 
                   
                 28.883857 
                 HEV19397 
                 81.238 
               
               
                 28 
                 693.739003 
                   
                 11.559320 
                 SIO2V 
                 86.714 
               
               
                 29 
                 303.301679 
                   
                 15.104783 
                 HEV19397 
                 91.779 
               
               
                 30 
                 1016.426625 
                   
                 30.905849 
                 SIO2V 
                 95.900 
               
               
                 31 
                 −258.080954 
                 AS 
                 10.647394 
                 HEV19397 
                 99.790 
               
               
                 32 
                 −1386.614747 
                 AS 
                 24.903261 
                 SIO2V 
                 108.140 
               
               
                 33 
                 −305.810572 
                   
                 14.249112 
                 HEV19397 
                 112.465 
               
               
                 34 
                 −11755.656826 
                 AS 
                 32.472684 
                 SIO2V 
                 124.075 
               
               
                 35 
                 −359.229865 
                   
                 16.650084 
                 HEV19397 
                 126.831 
               
               
                 36 
                 1581.896158 
                   
                 51.095339 
                 SIO2V 
                 135.151 
               
               
                 37 
                 −290.829022 
                   
                 −5.686977 
                 HEV19397 
                 136.116 
               
               
                 38 
                 0.000000 
                   
                 0.000000 
                 HEV19397 
                 131.224 
               
               
                 39 
                 0.000000 
                   
                 28.354383 
                 HEV19397 
                 131.224 
               
               
                 40 
                 524.037274 
                 AS 
                 45.835992 
                 SIO2V 
                 130.144 
               
               
                 41 
                 −348.286331 
                   
                 0.878010 
                 HEV19397 
                 129.553 
               
               
                 42 
                 184.730622 
                   
                 45.614622 
                 SIO2V 
                 108.838 
               
               
                 43 
                 2501.302312 
                 AS 
                 0.854125 
                 HEV19397 
                 103.388 
               
               
                 44 
                 89.832394 
                   
                 38.416586 
                 SIO2V 
                 73.676 
               
               
                 45 
                 209.429378 
                   
                 0.697559 
                 HEV19397 
                 63.921 
               
               
                 46 
                 83.525032 
                   
                 37.916651 
                 CAF2V193 
                 50.040 
               
               
                 47 
                 0.000000 
                   
                 0.300000 
                 SIO2V 
                 21.480 
               
               
                 48 
                 0.000000 
                   
                 0.000000 
                 SIO2V 
                 21.116 
               
               
                 49 
                 0.000000 
                   
                 3.000000 
                 H2OV193B 
                 21.116 
               
               
                 50 
                 0.000000 
                   
                 0.000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 32A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 2 
                 5 
                 7 
                 12 
                 14 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −5.72E−02 
                      −4.71E−02 
                   1.75E−01 
                 −8.29E−02 
                 −4.35E−02 
               
               
                 C2 
                 −2.97E−07 
                   7.04E−06 
                      −1.17E−05 
                 −1.87E−07 
                  1.59E−06 
               
               
                 C3 
                  1.03E−12 
                   1.09E−10 
                   1.34E−09 
                 −7.04E−10 
                 −6.81E−11 
               
               
                 C4 
                  2.76E−14 
                      −2.90E−14 
                      −5.44E−14 
                  6.65E−14 
                  5.03E−15 
               
               
                 C5 
                 −1.51E−18 
                      −1.55E−21 
                      −1.82E−18 
                 −1.33E−17 
                 −1.68E−23 
               
               
                 C6 
                 −1.04E−24 
                   5.61E−23 
                   2.56E−22 
                  2.46E−21 
                 −2.36E−23 
               
               
                 C7 
                 0.000000e+00       
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00       
               
               
                 C8 
                 0.000000e+00       
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00       
               
               
                 C9 
                 0.000000e+00       
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00       
                 0.000000e+00       
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 17 
                 18 
                 23 
                 31 
                 32 
               
               
                   
               
               
                 K 
                 −197.849 
                 −204.054 
                 0 
                 0 
                 0 
               
               
                 C1 
                      −2.94E−02 
                   5.77E−02 
                      −7.06E−02 
                 3.41E−02 
                      −4.85E−02 
               
               
                 C2 
                   2.63E−07 
                      −5.00E−07 
                   4.11E−06 
                 4.07E−08 
                   9.88E−07 
               
               
                 C3 
                      −6.11E−12 
                   2.67E−11 
                      −1.18E−10 
                 8.10E−11 
                   7.37E−11 
               
               
                 C4 
                   1.11E−16 
                      −5.69E−16 
                   2.92E−15 
                 −4.34E−15  
                      −6.56E−15 
               
               
                 C5 
                      −2.01E−21 
                   1.89E−20 
                      −3.23E−20 
                 7.59E−19 
                   6.53E−19 
               
               
                 C6 
                   2.08E−26 
                      −1.49E−25 
                   2.18E−25 
                 −3.41E−23  
                      −2.88E−23 
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00   
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 34 
                 40 
                 43 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 1.59E−02 
                      −4.10E−02 
                      −3.89E−02 
               
               
                   
                 C2 
                 −1.51E−06  
                   3.04E−07 
                   4.76E−06 
               
               
                   
                 C3 
                 6.62E−13 
                   5.71E−11 
                      −2.23E−10 
               
               
                   
                 C4 
                 1.72E−15 
                      −1.72E−15 
                   8.89E−15 
               
               
                   
                 C5 
                 −9.36E−20  
                      −9.60E−22 
                      −2.41E−19 
               
               
                   
                 C6 
                 2.36E−24 
                   3.81E−25 
                   3.43E−24 
               
               
                   
                 C7 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C8 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C9 
                 0.000000e+00   
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 34 
               
               
                   
               
               
                 (EM26) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 WL 
                 193.368 nm 
                 193.468 nm 
                 193.268 nm 
               
               
                   
                 SIO2V′ 
                 1.5607857 
                 1.56062813 
                 1.56094365 
               
               
                   
                 CAF2V193′ 
                  1.50175423 
                 1.50185255 
                 1.50195109 
               
               
                   
                 H2OV193′ 
                 1.4364632 
                 1.43667693 
                 1.43689123 
               
               
                   
                   
               
            
           
           
               
            
               
                 NA 1.2; Fmin = 18.63 mm; Fmax = 66 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Thickness 
                 Material 
                 ½Diam. 
                 Type 
               
               
                   
               
               
                 0 
                 0.000000000 
                 31.982585487 
                 AIR 
                 66.000 
               
               
                 1 
                 0.000000000 
                 −0.017071913 
                 AIR 
                 76.172 
               
               
                 2 
                 147.976296433 
                 25.157601132 
                 SIO2V 
                 83.329 
               
               
                 3 
                 483.267348199 
                 66.318217434 
                 AIR 
                 83.329 
               
               
                 4 
                 6843.187124890 
                 14.990603080 
                 SIO2V 
                 89.462 
               
               
                 5 
                 −10922.857227200 
                 0.990910304 
                 AIR 
                 89.696 
               
               
                 6 
                 185.444884732 
                 43.423576628 
                 SIO2V 
                 90.336 
               
               
                 7 
                 −291.453552095 
                 0.988388071 
                 AIR 
                 88.691 
               
               
                 8 
                 75.552245567 
                 18.214694705 
                 SIO2V 
                 66.883 
               
               
                 9 
                 76.794787833 
                 36.638500036 
                 AIR 
                 60.819 
               
               
                 10 
                 119.890093734 
                 18.824651829 
                 SIO2V 
                 50.527 
               
               
                 11 
                 1688.559592410 
                 8.584817314 
                 AIR 
                 45.933 
               
               
                 12 
                 0.000000000 
                 0.000000000 
                 AIR 
                 38.451 
               
               
                 13 
                 0.000000000 
                 52.042672045 
                 AIR 
                 38.545 
               
               
                 14 
                 −59.826650342 
                 14.981853380 
                 SIO2V 
                 48.449 
               
               
                 15 
                 −143.442731652 
                 0.981820223 
                 AIR 
                 65.183 
               
               
                 16 
                 −809.267677971 
                 22.623991877 
                 SIO2V 
                 74.792 
               
               
                 17 
                 −189.427877067 
                 23.734179117 
                 AIR 
                 79.164 
               
               
                 18 
                 −404.048228936 
                 40.321323389 
                 SIO2V 
                 94.462 
               
               
                 19 
                 −133.255827443 
                 0.996126038 
                 AIR 
                 98.239 
               
               
                 20 
                 −532.626067795 
                 25.229572964 
                 SIO2V 
                 102.508 
               
               
                 21 
                 −218.631437997 
                 34.992902498 
                 AIR 
                 104.152 
               
               
                 22 
                 0.000000000 
                 232.569743258 
                 AIR 
                 102.146 
               
               
                 23 
                 −203.850853866 
                 −232.569743258 
                 AIR 
                 154.862 
                 REFL 
               
               
                 24 
                 180.897913619 
                 232.569743258 
                 AIR 
                 125.795 
                 REFL 
               
               
                 25 
                 0.000000000 
                 35.093353727 
                 AIR 
                 89.945 
               
               
                 26 
                 −2097.871590640 
                 18.902530877 
                 SIO2V 
                 88.318 
               
               
                 27 
                 −311.592066935 
                 1.000926290 
                 AIR 
                 88.349 
               
               
                 28 
                 197.040247642 
                 14.994864591 
                 SIO2V 
                 82.980 
               
               
                 29 
                 123.794489384 
                 39.397144698 
                 AIR 
                 76.695 
               
               
                 30 
                 −351.625590566 
                 14.996140251 
                 SIO2V 
                 76.667 
               
               
                 31 
                 194.519969585 
                 25.840876165 
                 AIR 
                 79.734 
               
               
                 32 
                 −783.090311926 
                 14.999335864 
                 SIO2V 
                 81.725 
               
               
                 33 
                 602.209892650 
                 15.636785753 
                 AIR 
                 89.884 
               
               
                 34 
                 −860.877333066 
                 40.308090334 
                 SIO2V 
                 92.572 
               
               
                 35 
                 −144.751331394 
                 0.995503627 
                 AIR 
                 96.367 
               
               
                 36 
                 489.496864563 
                 22.261422840 
                 SIO2V 
                 107.265 
               
               
                 37 
                 −1492.086252490 
                 0.998123009 
                 AIR 
                 108.225 
               
               
                 38 
                 542.517785037 
                 42.667711177 
                 SIO2V 
                 110.092 
               
               
                 39 
                 −278.956019182 
                 30.784648856 
                 AIR 
                 110.074 
               
               
                 40 
                 −143.206504187 
                 16.457194925 
                 SIO2V 
                 109.358 
               
               
                 41 
                 −245.275186574 
                 0.991006459 
                 AIR 
                 118.513 
               
               
                 42 
                 450.076146500 
                 56.637715430 
                 SIO2V 
                 124.493 
               
               
                 43 
                 −281.238265383 
                 0.994417156 
                 AIR 
                 124.569 
               
               
                 44 
                 173.286659802 
                 30.025805518 
                 SIO2V 
                 105.228 
               
               
                 45 
                 405.488019133 
                 4.969943131 
                 AIR 
                 101.974 
               
               
                 46 
                 170.349078374 
                 38.966672867 
                 SIO2V 
                 93.740 
               
               
                 47 
                 78634.784391100 
                 0.980473718 
                 AIR 
                 86.875 
               
               
                 48 
                 65.899645851 
                 30.022369482 
                 SIO2V 
                 58.766 
               
               
                 49 
                 115.328388498 
                 0.871701885 
                 AIR 
                 51.820 
               
               
                 50 
                 70.957276330 
                 32.640666401 
                 CAF2V193 
                 44.305 
               
               
                 51 
                 0.000000000 
                 3.000000148 
                 H2OV193 
                 21.157 
               
               
                 52 
                 0.000000000 
                 0.000000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 34A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 K 
                 C1 
                 C2 
                 C3 
                 C4 
               
               
                   
               
               
                 2 
                 0.00000000e+000 
                 −4.78882631e−008 
                 −1.07874702e−012 
                 −3.02679637e−016 
                 1.88733824e−020 
               
               
                 4 
                 0.00000000e+000 
                  6.93936013e−009 
                  4.14547565e−012 
                 −2.44188432e−016 
                 3.37511708e−020 
               
               
                 7 
                 0.00000000e+000 
                  2.35987002e−008 
                  8.31924580e−012 
                 −7.77774842e−016 
                 6.50303307e−021 
               
               
                 11 
                 0.00000000e+000 
                  1.26922184e−007 
                 −4.36848744e−011 
                  4.57206313e−015 
                 1.74083492e−018 
               
               
                 15 
                 0.00000000e+000 
                  7.93042774e−008 
                 −2.07633723e−013 
                  3.76353009e−016 
                 7.36365299e−020 
               
               
                 18 
                 0.00000000e+000 
                 −1.97913247e−009 
                 −8.66959877e−013 
                  6.04641277e−017 
                 −4.73473989e−021  
               
               
                 20 
                 0.00000000e+000 
                 −5.08811298e−009 
                 −3.02758381e−013 
                 −6.93452917e−018 
                 3.42662757e−022 
               
               
                 23 
                 0.00000000e+000 
                  9.00942854e−009 
                  1.77368463e−013 
                  2.86086903e−018 
                 5.71387977e−023 
               
               
                 24 
                 0.00000000e+000 
                 −6.79867230e−009 
                 −1.66279668e−013 
                 −3.17226607e−018 
                 −2.14919508e−022  
               
               
                 26 
                 0.00000000e+000 
                 −5.37053896e−008 
                  1.67618239e−012 
                  4.07995560e−016 
                 −3.53050500e−020  
               
               
                 36 
                 0.00000000e+000 
                 −3.31965207e−008 
                  6.14833787e−013 
                  2.40373774e−017 
                 1.18984531e−022 
               
               
                 41 
                 0.00000000e+000 
                 −1.38336514e−008 
                  8.93474375e−013 
                 −2.71551009e−017 
                 1.74375713e−021 
               
               
                 45 
                 0.00000000e+000 
                  1.44983141e−008 
                 −1.95881989e−014 
                 −1.05859436e−016 
                 5.32744894e−021 
               
               
                 47 
                 0.00000000e+000 
                  3.11232761e−008 
                  2.84716248e−012 
                 −1.11706969e−016 
                 −2.66038924e−021  
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Surface 
                 C5 
                 C6 
                 C7 
                 C8 
               
               
                   
               
               
                 2 
                 −4.39149695e−025 
                 −1.09132516e−028  
                 −1.04998811e−035 
                 7.96689244e−037 
               
               
                 4 
                 −5.06638092e−024 
                 5.32303197e−028 
                 −2.85457308e−032 
                 3.58175757e−038 
               
               
                 7 
                  3.23059366e−024 
                 −1.16477659e−030  
                 −4.43574135e−032 
                 2.44981381e−036 
               
               
                 11 
                 −1.38306535e−022 
                 2.43454067e−025 
                 −8.52163913e−029 
                 1.77790237e−034 
               
               
                 15 
                 −4.68407947e−024 
                 8.91865260e−029 
                  8.87815151e−032 
                 −8.32251546e−036  
               
               
                 18 
                  1.77442213e−025 
                 4.52110292e−031 
                 −2.53815340e−035 
                 −4.30166930e−039  
               
               
                 20 
                 −9.21678831e−028 
                 −3.68127185e−033  
                  1.89749139e−038 
                 −4.16625182e−039  
               
               
                 23 
                 −4.46902171e−028 
                 1.13482418e−031 
                 −3.89411163e−036 
                 7.97497644e−041 
               
               
                 24 
                  1.19742697e−026 
                 −1.09727605e−030  
                  4.00797914e−035 
                 −7.95846450e−040  
               
               
                 26 
                  9.00535444e−025 
                 −3.46673523e−029  
                 −6.86798043e−033 
                 5.92310794e−037 
               
               
                 36 
                 −9.53667910e−026 
                 4.93885674e−030 
                 −2.90808572e−034 
                 1.22198832e−039 
               
               
                 41 
                 −1.26665751e−025 
                 5.84505761e−030 
                 −2.30469572e−034 
                 6.06339556e−039 
               
               
                 45 
                 −5.94726685e−026 
                 2.48643254e−029 
                 −1.88792088e−033 
                 5.60469477e−038 
               
               
                 47 
                  2.43106684e−025 
                 −3.95551801e−029  
                 −7.28245783e−037 
                 4.70291791e−038 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 36 
               
               
                   
               
               
                 (EM27) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 WL 
                 193.368 nm 
                 193.468 nm 
                 193.268 nm 
               
               
                   
                 SIO2V′ 
                 1.5607857 
                 1.56062813 
                 1.56094365 
               
               
                   
                 CAF2V193′ 
                  1.50175423 
                 1.50185255 
                 1.50195109 
               
               
                   
                 H2OV193′ 
                 1.4364632 
                 1.43667693 
                 1.43689123 
               
               
                   
                   
               
            
           
           
               
            
               
                 NA 1.2; Fmin = 18.63 mm; Fmax = 66 mm 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
               
                 1 
                 0.000000 
                   
                 −0.004216 
                 LUFTV193 
                 75.440 
               
               
                 2 
                 341.127979 
                 AS 
                 22.791928 
                 SIO2V 
                 77.399 
               
               
                 3 
                 −547.910038 
                   
                 0.998331 
                 N2VP950 
                 79.138 
               
               
                 4 
                 127.727169 
                   
                 41.232021 
                 SIO2V 
                 85.886 
               
               
                 5 
                 423.981317 
                 AS 
                 37.538965 
                 N2VP950 
                 83.125 
               
               
                 6 
                 1837.865411 
                   
                 20.893107 
                 SIO2V 
                 73.497 
               
               
                 7 
                 −224.309944 
                 AS 
                 1.002068 
                 N2VP950 
                 71.189 
               
               
                 8 
                 162.793881 
                   
                 28.373758 
                 SIO2V 
                 63.095 
               
               
                 9 
                 −357.404285 
                   
                 20.328095 
                 N2VP950 
                 58.827 
               
               
                 10 
                 −130.668159 
                   
                 9.997405 
                 SIO2V 
                 40.623 
               
               
                 11 
                 −153.854050 
                   
                 6.572008 
                 N2VP950 
                 37.125 
               
               
                 12 
                 0.000000 
                   
                 9.999712 
                 SIO2V 
                 37.199 
               
               
                 13 
                 0.000000 
                   
                 1.062092 
                 N2VP950 
                 40.839 
               
               
                 14 
                 743.447647 
                   
                 18.547401 
                 SIO2V 
                 42.269 
               
               
                 15 
                 −194.707721 
                   
                 22.944701 
                 N2VP950 
                 46.232 
               
               
                 16 
                 −91.226681 
                   
                 9.997232 
                 SIO2V 
                 51.224 
               
               
                 17 
                 −149.640287 
                   
                 18.143695 
                 N2VP950 
                 58.055 
               
               
                 18 
                 −523.085587 
                 AS 
                 23.764093 
                 SIO2V 
                 70.561 
               
               
                 19 
                 −159.366370 
                   
                 0.999029 
                 N2VP950 
                 75.025 
               
               
                 20 
                 −418.047917 
                 AS 
                 30.390060 
                 SIO2V 
                 78.905 
               
               
                 21 
                 −139.497541 
                   
                 36.995337 
                 N2VP950 
                 82.309 
               
               
                 22 
                 0.000000 
                   
                 202.057337 
                 N2VP950 
                 86.976 
               
               
                 23 
                 −179.767561 
                 AS 
                 −202.057337 
                 REFL 
                 144.017 
               
               
                 24 
                 157.031815 
                 AS 
                 202.057337 
                 REFL 
                 107.178 
               
               
                 25 
                 0.000000 
                   
                 36.997499 
                 N2VP950 
                 101.742 
               
               
                 26 
                 440.441126 
                   
                 47.272805 
                 SIO2V 
                 111.232 
               
               
                 27 
                 −305.204169 
                   
                 41.252868 
                 N2VP950 
                 111.473 
               
               
                 28 
                 −462.717592 
                   
                 18.096500 
                 SIO2V 
                 101.263 
               
               
                 29 
                 −434.773502 
                 AS 
                 1.272365 
                 N2VP950 
                 100.762 
               
               
                 30 
                 323.034266 
                   
                 9.997203 
                 SIO2V 
                 90.351 
               
               
                 31 
                 107.871517 
                   
                 41.101537 
                 N2VP950 
                 80.055 
               
               
                 32 
                 −2104.261715 
                   
                 9.996146 
                 SIO2V 
                 80.354 
               
               
                 33 
                 162.693545 
                   
                 24.114798 
                 N2VP950 
                 82.448 
               
               
                 34 
                 461.867528 
                   
                 11.590831 
                 SIO2V 
                 88.405 
               
               
                 35 
                 292.431899 
                   
                 14.861810 
                 N2VP950 
                 92.938 
               
               
                 36 
                 1076.736610 
                   
                 38.645047 
                 SIO2V 
                 96.114 
               
               
                 37 
                 −233.326361 
                 AS 
                 4.528881 
                 N2VP950 
                 101.701 
               
               
                 38 
                 −818.919435 
                 AS 
                 26.752850 
                 SIO2V 
                 107.052 
               
               
                 39 
                 −301.917563 
                   
                 18.307802 
                 N2VP950 
                 113.375 
               
               
                 40 
                 −2069.863617 
                 AS 
                 54.519854 
                 SIO2V 
                 125.923 
               
               
                 41 
                 −240.586609 
                   
                 40.043329 
                 N2VP950 
                 131.701 
               
               
                 42 
                 0.000000 
                   
                 0.000000 
                 N2VP950 
                 138.484 
               
               
                 43 
                 0.000000 
                   
                 −20.273619 
                 N2VP950 
                 138.484 
               
               
                 44 
                 442.810512 
                   
                 63.820483 
                 SIO2V 
                 138.949 
               
               
                 45 
                 −533.873885 
                   
                 2.798052 
                 N2VP950 
                 139.304 
               
               
                 46 
                 662.397337 
                 AS 
                 40.282382 
                 SIO2V 
                 135.640 
               
               
                 47 
                 −428.200815 
                   
                 0.994361 
                 N2VP950 
                 134.489 
               
               
                 48 
                 213.024607 
                   
                 43.377768 
                 SIO2V 
                 113.450 
               
               
                 49 
                 3009.037627 
                 AS 
                 0.987971 
                 N2VP950 
                 107.741 
               
               
                 50 
                 95.712001 
                   
                 40.028327 
                 SIO2V 
                 77.581 
               
               
                 51 
                 241.528599 
                   
                 2.069796 
                 N2VP950 
                 67.915 
               
               
                 52 
                 85.826880 
                   
                 38.946996 
                 CAF2V193 
                 50.851 
               
               
                 53 
                 0.000000 
                   
                 3.000000 
                 H2OV193 
                 21.090 
               
               
                 54 
                 0.000000 
                   
                 0.000000 
                 AIR 
                 16.500 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 36A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 2 
                 5 
                 7 
                 18 
                 20 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −6.825898e−08 
                 −1.139291e−07  
                 1.715001e−07 
                 −5.525454e−08  
                 −1.928670e−08  
               
               
                 C2 
                 −5.820149e−13 
                 6.229489e−12 
                 −3.362340e−12  
                 −1.835201e−13  
                 1.369964e−12 
               
               
                 C3 
                 −1.764721e−16 
                 2.070760e−16 
                 2.245144e−16 
                 1.097082e−16 
                 −1.178098e−16  
               
               
                 C4 
                  1.898479e−20 
                 −3.072912e−20  
                 6.731621e−20 
                 2.983525e−22 
                 −5.533661e−22  
               
               
                 C5 
                 −2.878598e−26 
                 5.780651e−25 
                 −1.102455e−23  
                 −7.073376e−25  
                 4.333159e−25 
               
               
                 C6 
                 −4.377548e−29 
                 7.588531e−29 
                 1.662149e−28 
                 2.028418e−28 
                 −5.576742e−29  
               
               
                 C7 
                  0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                  0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                  0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 23 
                 24 
                 29 
                 37 
                 38 
               
               
                   
               
               
                 K 
                 −1.94543 
                 −2.30892 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −2.949816e−08  
                 6.225716e−08 
                 −9.081623e−08  
                 1.700564e−08 
                 −5.539058e−08  
               
               
                 C2 
                 2.672898e−13 
                 −8.664624e−13  
                 4.328932e−12 
                 7.578402e−13 
                 7.069194e−13 
               
               
                 C3 
                 −5.319153e−18  
                 3.983466e−17 
                 −9.663515e−17  
                 6.487979e−17 
                 7.954509e−17 
               
               
                 C4 
                 1.038342e−22 
                 −1.106567e−21  
                 1.861873e−21 
                 −4.481439e−21  
                 −5.116182e−21  
               
               
                 C5 
                 −1.448694e−27  
                 3.014885e−26 
                 −2.365064e−26  
                 9.785695e−25 
                 7.622924e−25 
               
               
                 C6 
                 1.457411e−32 
                 −3.386885e−31  
                 4.413420e−31 
                 −4.763684e−29  
                 −3.862189e−29  
               
               
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Surface 
                 40 
                 46 
                 49 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 −6.320049e−10  
                 −2.772679e−08  
                 −2.949915e−08  
               
               
                   
                 C2 
                 −1.306440e−13  
                 −1.390524e−13  
                 3.478719e−12 
               
               
                   
                 C3 
                 −3.923481e−17  
                 4.871921e−17 
                 −1.481636e−16  
               
               
                   
                 C4 
                 2.072577e−21 
                 −1.427007e−21  
                 6.052349e−21 
               
               
                   
                 C5 
                 −6.511387e−26  
                 7.907911e−27 
                 −1.731162e−25  
               
               
                   
                 C6 
                 1.538497e−30 
                 1.183697e−31 
                 2.820274e−30 
               
               
                   
                 C7 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C8 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                 C9 
                 0.000000e+00 
                 0.000000e+00 
                 0.000000e+00 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 37 
               
             
            
               
                   
               
               
                 (j342p) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0 
                 0.000000 
                   
                 32.000671 
                   
                 66.0 
               
               
                 1 
                 153.319623 
                   
                 25.301467 
                 SILUV 
                 83.9 
               
               
                 2 
                 362.312706 
                   
                 1.846656 
                   
                 83.3 
               
               
                 3 
                 249.932462 
                   
                 10.039369 
                 SILUV 
                 83.5 
               
               
                 4 
                 296.617151 
                   
                 16.156206 
                   
                 82.9 
               
               
                 5 
                 129.380687 
                   
                 32.591808 
                 SILUV 
                 85.8 
               
               
                 6 
                 353.939024 
                   
                 25.413158 
                   
                 83.3 
               
               
                 7 
                 441.659706 
                   
                 33.067185 
                 SILUV 
                 77.6 
               
               
                 8 
                 −249.821483 
                   
                 0.999731 
                   
                 73.0 
               
               
                 9 
                 242.432431 
                   
                 23.800036 
                 SILUV 
                 66.0 
               
               
                 10 
                 −418.172385 
                   
                 16.233683 
                   
                 62.2 
               
               
                 11 
                 −135.497448 
                   
                 9.999688 
                 SILUV 
                 53.8 
               
               
                 12 
                 −172.144731 
                   
                 14.407576 
                   
                 51.0 
               
               
                 13 
                 0.000000 
                   
                 14.446986 
                   
                 37.2 
               
               
                 14 
                 403.537798 
                   
                 17.810754 
                 SILUV 
                 47.2 
               
               
                 15 
                 −250.734154 
                   
                 43.083755 
                   
                 50.0 
               
               
                 16 
                 −86.913472 
                   
                 14.999924 
                 SILUV 
                 58.5 
               
               
                 17 
                 −119.371112 
                   
                 3.501271 
                   
                 67.2 
               
               
                 18 
                 −227.124051 
                   
                 29.708033 
                 SILUV 
                 72.5 
               
               
                 19 
                 −115.706665 
                   
                 0.999372 
                   
                 77.3 
               
               
                 20 
                 −6458.564488 
                   
                 21.246094 
                 SILUV 
                 81.9 
               
               
                 21 
                 −316.595524 
                   
                 244.245108 
                   
                 83.5 
               
               
                 22 
                 −175.503346 
                   
                 −209.246168 
                 REFL 
                 137.3 
               
               
                 23 
                 172.837073 
                   
                 259.698197 
                 REFL 
                 116.6 
               
               
                 24 
                 286.122846 
                   
                 54.616082 
                 SILUV 
                 114.1 
               
               
                 25 
                 −319.487475 
                   
                 0.999912 
                   
                 113.6 
               
               
                 26 
                 966.963595 
                   
                 26.197513 
                 SILUV 
                 104.1 
               
               
                 27 
                 −1040.269926 
                   
                 1.072535 
                   
                 101.1 
               
               
                 28 
                 1363.207517 
                   
                 10.039037 
                 SILUV 
                 93.7 
               
               
                 29 
                 99.625589 
                   
                 52.260353 
                   
                 77.5 
               
               
                 30 
                 4756.567563 
                   
                 10.000836 
                 SILUV 
                 78.0 
               
               
                 31 
                 153.387698 
                   
                 31.977828 
                   
                 78.4 
               
               
                 32 
                 −621.996267 
                   
                 10.519453 
                 SILUV 
                 80.7 
               
               
                 33 
                 337.392641 
                   
                 11.072501 
                   
                 89.8 
               
               
                 34 
                 737.023107 
                   
                 38.757083 
                 SILUV 
                 94.6 
               
               
                 35 
                 −226.600466 
                   
                 0.999349 
                   
                 98.8 
               
               
                 36 
                 2080.296355 
                   
                 23.152743 
                 SILUV 
                 107.0 
               
               
                 37 
                 −464.590999 
                   
                 1.039809 
                   
                 110.3 
               
               
                 38 
                 1055.490633 
                   
                 38.268883 
                 SILUV 
                 115.5 
               
               
                 39 
                 −319.028277 
                   
                 39.203877 
                   
                 117.8 
               
               
                 40 
                 653.756661 
                   
                 35.609928 
                 SILUV 
                 125.1 
               
               
                 41 
                 −584.439739 
                   
                 12.416338 
                   
                 125.1 
               
               
                 42 
                 531.560104 
                   
                 43.648724 
                 SILUV 
                 121.9 
               
               
                 43 
                 −344.752529 
                   
                 0.999813 
                   
                 121.1 
               
               
                 44 
                 216.368978 
                   
                 41.075323 
                 SILUV 
                 104.1 
               
               
                 45 
                 −1287.916059 
                   
                 1.004925 
                   
                 99.2 
               
               
                 46 
                 80.185742 
                   
                 39.619634 
                 SILUV 
                 69.4 
               
               
                 47 
                 176.364295 
                   
                 1.538101 
                   
                 59.8 
               
               
                 48 
                 85.292538 
                   
                 38.558988 
                 SILUV 
                 48.9 
               
               
                 49 
                 0.000000 
                   
                 3.000000 
                 H2O 
                 21.1 
               
               
                 50 
                 0.000000 
                   
                   
                   
                 16.5 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 37A 
               
               
                   
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 3 
                 8 
                 20 
                 22 
                 23 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 −2.68078 
                 −2.40925 
               
               
                 C1 
                 −3.607637E−08 
                  1.865463E−07 
                 −2.924038E−08 
                 −4.659443E−08 
                  5.109968E−08 
               
               
                 C2 
                 −2.229774E−12 
                 −7.002614E−12 
                 −1.606274E−13 
                  1.037806E−12 
                 −5.972057E−13 
               
               
                 C3 
                 −9.424200E−17 
                  6.321555E−16 
                 −3.464603E−17 
                 −3.569130E−17 
                  2.704163E−17 
               
               
                 C4 
                  2.475481E−20 
                 −2.270568E−20 
                 −8.460050E−22 
                  1.252351E−21 
                 −7.866414E−22 
               
               
                 C5 
                 −2.200899E−24 
                 −7.376870E−24 
                 −3.093437E−26 
                 −4.105857E−26 
                  3.951644E−26 
               
               
                 C6 
                  2.031865E−28 
                  4.292117E−28 
                  1.330447E−29 
                  1.072302E−30 
                 −1.866653E−30 
               
               
                 C7 
                 −1.376196E−32 
                 −4.030529E−32 
                 −2.982210E−33 
                 −1.880272E−35 
                  6.750678E−35 
               
               
                 C8 
                  1.838592E−38 
                  6.145449E−36 
                  1.368410E−37 
                  1.598017E−40 
                 −1.047201E−39 
               
               
                   
               
               
                 Surface 
                 27 
                 36 
                 38 
                 42 
                 45 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −7.658966E−08 
                 −5.016408E−08  
                 −9.533350E−10 
                 −3.314101E−08 
                 −6.295604E−09 
               
               
                 C2 
                  5.681524E−12 
                 6.321012E−13 
                 −5.085963E−13 
                  3.915833E−13 
                  2.792116E−12 
               
               
                 C3 
                 −2.238871E−16 
                 1.067455E−16 
                 −9.972640E−17 
                  5.982003E−17 
                 −1.225842E−16 
               
               
                 C4 
                  5.298747E−21 
                 −7.397651E−21  
                  6.787141E−21 
                 −1.575240E−21 
                  1.102964E−20 
               
               
                 C5 
                  6.569464E−25 
                 1.926832E−25 
                 −1.791598E−25 
                 −3.559970E−26 
                 −1.065854E−24 
               
               
                 C6 
                 −9.223653E−29 
                 6.753657E−30 
                 −3.368098E−30 
                  1.054274E−30 
                  8.785997E−29 
               
               
                 C7 
                  5.022050E−33 
                 −9.556799E−34  
                  3.525219E−34 
                  1.406168E−35 
                 −4.393692E−33 
               
               
                 C8 
                 −1.105440E−37 
                 1.329917E−38 
                 −3.436374E−39 
                 −3.845075E−40 
                  1.041770E−37 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 38 
               
             
            
               
                   
               
               
                 (j344p) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0 
                 0.000000 
                   
                 35.248514 
                   
                 66.0 
               
               
                 1 
                 143.248122 
                   
                 28.781110 
                 SILUV 
                 86.3 
               
               
                 2 
                 358.453084 
                   
                 2.742037 
                   
                 85.3 
               
               
                 3 
                 249.892226 
                   
                 15.480033 
                 SILUV 
                 85.2 
               
               
                 4 
                 590.981355 
                   
                 14.283399 
                   
                 84.5 
               
               
                 5 
                 117.666799 
                   
                 24.212151 
                 SILUV 
                 83.0 
               
               
                 6 
                 167.854363 
                   
                 18.418499 
                   
                 79.6 
               
               
                 7 
                 383.299246 
                   
                 37.170753 
                 SILUV 
                 78.0 
               
               
                 8 
                 −249.806207 
                   
                 1.005138 
                   
                 72.8 
               
               
                 9 
                 176.708488 
                   
                 25.812894 
                 SILUV 
                 64.2 
               
               
                 10 
                 −489.209320 
                   
                 17.845992 
                   
                 60.0 
               
               
                 11 
                 −138.689463 
                   
                 10.119648 
                 SILUV 
                 47.3 
               
               
                 12 
                 −180.883089 
                   
                 11.123457 
                   
                 43.8 
               
               
                 13 
                 1814.626805 
                   
                 14.880881 
                 SILUV 
                 38.4 
               
               
                 14 
                 −249.444318 
                   
                 45.270915 
                   
                 42.1 
               
               
                 15 
                 −80.916188 
                   
                 15.005805 
                 SILUV 
                 54.4 
               
               
                 16 
                 −125.947065 
                   
                 2.167332 
                   
                 65.0 
               
               
                 17 
                 −470.801754 
                   
                 30.186754 
                 SILUV 
                 72.8 
               
               
                 18 
                 −134.611795 
                   
                 2.050714 
                   
                 78.1 
               
               
                 19 
                 −522.384219 
                   
                 31.415391 
                 SILUV 
                 84.0 
               
               
                 20 
                 −154.268791 
                   
                 249.623006 
                   
                 87.1 
               
               
                 21 
                 −181.420630 
                   
                 −209.608609 
                 REFL 
                 140.1 
               
               
                 22 
                 169.119629 
                   
                 250.842406 
                 REFL 
                 114.7 
               
               
                 23 
                 291.616363 
                   
                 51.793776 
                 SILUV 
                 110.3 
               
               
                 24 
                 −309.683041 
                   
                 17.091881 
                   
                 109.8 
               
               
                 25 
                 −940.483291 
                   
                 12.127436 
                 SILUV 
                 99.3 
               
               
                 26 
                 −42805.292832 
                   
                 1.002005 
                   
                 97.3 
               
               
                 27 
                 220.631691 
                   
                 10.003981 
                 SILUV 
                 88.3 
               
               
                 28 
                 99.320400 
                   
                 49.161757 
                   
                 77.3 
               
               
                 29 
                 −561.336190 
                   
                 9.999954 
                 SILUV 
                 77.2 
               
               
                 30 
                 154.957512 
                   
                 24.909934 
                   
                 79.0 
               
               
                 31 
                 1924.820454 
                   
                 13.223705 
                 SILUV 
                 81.7 
               
               
                 32 
                 303.786903 
                   
                 14.995612 
                   
                 89.2 
               
               
                 33 
                 1300.890310 
                   
                 31.155401 
                 SILUV 
                 93.9 
               
               
                 34 
                 −258.803624 
                   
                 9.929012 
                   
                 98.4 
               
               
                 35 
                 −3575.038127 
                   
                 30.701987 
                 SILUV 
                 109.0 
               
               
                 36 
                 −265.328196 
                   
                 2.056209 
                   
                 113.6 
               
               
                 37 
                 2294.378555 
                   
                 44.440918 
                 SILUV 
                 123.1 
               
               
                 38 
                 −267.747777 
                   
                 29.673499 
                   
                 125.9 
               
               
                 39 
                 557.248167 
                   
                 36.861702 
                 SILUV 
                 131.7 
               
               
                 40 
                 −783.213643 
                   
                 −0.938224 
                   
                 131.3 
               
               
                 41 
                 −14802.205529 
                   
                 16.206383 
                   
                 129.7 
               
               
                 42 
                 828.039709 
                   
                 43.221788 
                 SILUV 
                 129.1 
               
               
                 43 
                 −324.649154 
                   
                 0.998849 
                   
                 128.8 
               
               
                 44 
                 206.870457 
                   
                 45.792196 
                 SILUV 
                 109.6 
               
               
                 45 
                 −1913.727624 
                   
                 0.997376 
                   
                 104.5 
               
               
                 46 
                 81.421622 
                   
                 39.892459 
                 SILUV 
                 70.6 
               
               
                 47 
                 171.051496 
                   
                 1.070665 
                   
                 60.3 
               
               
                 48 
                 81.435251 
                   
                 36.484505 
                 CAFUV 
                 48.6 
               
               
                 49 
                 0.000000 
                   
                 3.000000 
                 H2O 
                 21.1 
               
               
                 50 
                 0.000000 
                   
                   
                   
                 16.5 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 38A 
               
               
                   
               
               
                 (j344p) 
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 3 
                 8 
                 17 
                 19 
                 21 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 −2.35919 
               
               
                 C1 
                 −4.239547E−08 
                 1.776408E−07 
                 −3.517097E−08 
                 −2.260275E−08 
                 −3.531314E−08 
               
               
                 C2 
                 −3.439882E−12 
                 −7.365374E−12  
                 −1.680998E−12 
                  1.477964E−12 
                  5.754980E−13 
               
               
                 C3 
                  2.585420E−17 
                 6.010661E−16 
                  1.988836E−16 
                 −5.557313E−17 
                 −1.422154E−17 
               
               
                 C4 
                 −7.398192E−21 
                 3.465765E−20 
                 −8.317822E−21 
                 −1.521633E−21 
                  3.469778E−22 
               
               
                 C5 
                  2.490541E−24 
                 −1.352374E−23  
                  1.490936E−25 
                  2.529206E−25 
                 −6.366916E−27 
               
               
                 C6 
                 −1.543807E−28 
                 7.789367E−28 
                  9.086464E−29 
                 −2.473128E−29 
                  6.303151E−32 
               
               
                   
               
               
                 Surface 
                 22 
                 26 
                 34 
                 35 
                 37 
               
               
                   
               
               
                 K 
                 −2.55041 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                  5.763867E−08 
                 −9.608615E−08 
                 1.305280E−08 
                 −5.677213E−08 
                  3.512847E−09 
               
               
                 C2 
                 −8.648037E−13 
                  4.888828E−12 
                 5.858393E−13 
                  1.460926E−12 
                 −4.457077E−13 
               
               
                 C3 
                  3.811912E−17 
                 −1.061062E−16 
                 −2.240057E−17  
                  7.309271E−17 
                 −9.211061E−17 
               
               
                 C4 
                 −1.031346E−21 
                  2.226871E−21 
                 1.299691E−21 
                 −7.691388E−21 
                  7.360949E−21 
               
               
                 C5 
                  2.586799E−26 
                  6.374143E−26 
                 1.071950E−25 
                  4.906816E−25 
                 −3.041901E−25 
               
               
                 C6 
                 −2.333304E−31 
                 −5.123581E−30 
                 −1.228055E−29  
                 −1.882267E−29 
                  6.008115E−30 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Surface 
                 42 
                 45 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
               
               
                   
                 C1 
                 −2.753413E−08 
                 −2.014104E−08 
               
               
                   
                 C2 
                 −1.731330E−13 
                  3.259304E−12 
               
               
                   
                 C3 
                  6.979195E−17 
                 −1.414937E−16 
               
               
                   
                 C4 
                 −2.163794E−21 
                  5.867152E−21 
               
               
                   
                 C5 
                  9.215216E−27 
                 −1.748151E−25 
               
               
                   
                 C6 
                  2.896055E−31 
                  3.188929E−30 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 39 
               
             
            
               
                   
               
               
                 (dave 040421) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0 
                 0.000000 
                   
                 40.000000 
                   
                 68.0 
               
               
                 1 
                 146.623761 
                 AS 
                 35.648639 
                 SIO2V 
                 84.3 
               
               
                 2 
                 −262.402199 
                 AS 
                 11.489893 
                   
                 86.4 
               
               
                 3 
                 −1418.271111 
                 AS 
                 55.535686 
                 SIO2V 
                 89.1 
               
               
                 4 
                 −149.803131 
                   
                 80.058956 
                   
                 92.8 
               
               
                 5 
                 −316.127680 
                   
                 −80.058956 
                 REFL 
                 66.8 
               
               
                 6 
                 −149.803131 
                   
                 −55.535686 
                 SIO2V 
                 77.9 
               
               
                 7 
                 −1418.271111 
                   
                 −11.489893 
                   
                 77.7 
               
               
                 8 
                 −262.402199 
                   
                 11.489893 
                 REFL 
                 78.4 
               
               
                 9 
                 −1418.271111 
                   
                 55.535686 
                 SIO2V 
                 88.5 
               
               
                 10 
                 −149.803131 
                   
                 90.058608 
                   
                 97.6 
               
               
                 11 
                 −318.170858 
                 AS 
                 42.027645 
                 SIO2V 
                 125.7 
               
               
                 12 
                 −174.217513 
                   
                 221.335808 
                   
                 130.9 
               
               
                 13 
                 −245.648700 
                 AS 
                 −201.335981 
                 REFL 
                 202.8 
               
               
                 14 
                 114.970031 
                 AS 
                 241.335931 
                 REFL 
                 93.2 
               
               
                 15 
                 372.783567 
                 AS 
                 46.864614 
                 SIO2V 
                 124.6 
               
               
                 16 
                 −819.903755 
                   
                 1.038628 
                   
                 123.6 
               
               
                 17 
                 177.861341 
                   
                 41.772805 
                 SIO2V 
                 112.5 
               
               
                 18 
                 341.365208 
                   
                 37.021407 
                   
                 104.9 
               
               
                 19 
                 −466.562113 
                   
                 12.000000 
                 SIO2V 
                 100.5 
               
               
                 20 
                 162.712763 
                   
                 42.079202 
                   
                 91.1 
               
               
                 21 
                 −370.098539 
                   
                 12.000000 
                 SIO2V 
                 91.3 
               
               
                 22 
                 462.418362 
                   
                 26.721285 
                   
                 96.0 
               
               
                 23 
                 −356.944827 
                   
                 27.234109 
                 SIO2V 
                 97.2 
               
               
                 24 
                 −176.415718 
                   
                 1.000000 
                   
                 100.3 
               
               
                 25 
                 250.680892 
                 AS 
                 35.225819 
                 SIO2V 
                 109.0 
               
               
                 26 
                 −1151.380195 
                   
                 1.000000 
                   
                 108.8 
               
               
                 27 
                 400.524336 
                   
                 38.251924 
                 SIO2V 
                 107.1 
               
               
                 28 
                 −405.535651 
                   
                 31.160614 
                   
                 105.6 
               
               
                 29 
                 −149.637246 
                   
                 50.218339 
                 SIO2V 
                 104.4 
               
               
                 30 
                 −384.493074 
                 AS 
                 30.129631 
                   
                 114.6 
               
               
                 31 
                 0.000000 
                   
                 −29.129631 
                   
                 116.2 
               
               
                 32 
                 266.421209 
                   
                 50.004341 
                 SIO2V 
                 116.1 
               
               
                 33 
                 −466.737916 
                   
                 1.000000 
                   
                 115.2 
               
               
                 34 
                 142.958212 
                   
                 42.562558 
                 SIO2V 
                 102.2 
               
               
                 35 
                 432.609562 
                 AS 
                 0.098646 
                   
                 97.2 
               
               
                 36 
                 114.421108 
                   
                 32.582267 
                 SIO2V 
                 82.2 
               
               
                 37 
                 573.116962 
                 AS 
                 1.000000 
                   
                 76.7 
               
               
                 38 
                 60.777409 
                   
                 26.925305 
                 SIO2V 
                 52.9 
               
               
                 39 
                 76.682879 
                   
                 1.000000 
                   
                 41.9 
               
               
                 40 
                 70.399871 
                   
                 26.141931 
                 CAF2V193 
                 40.0 
               
               
                 41 
                 0.000000 
                   
                 3.000000 
                 H2OV193 
                 21.6 
               
               
                 42 
                 0 
                   
                 0 
                   
                 17.0 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 39A 
               
               
                   
               
               
                 (dave 040421) 
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 2 
                 3 
                 11 
                 13 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −3.341087E−07 
                  8.388602E−08 
                  3.429680E−08 
                  3.116059E−09 
                 3.046218E−09 
               
               
                 C2 
                 −2.505072E−12 
                 −1.111052E−11 
                 −9.182012E−12 
                  4.201540E−13 
                 4.170047E−14 
               
               
                 C3 
                  2.943082E−15 
                  1.569768E−15 
                  8.908974E−16 
                 −8.967249E−17 
                 3.681161E−19 
               
               
                 C4 
                 −4.955011E−19 
                 −1.841754E−19 
                 −1.039175E−19 
                  4.467021E−21 
                 2.802579E−23 
               
               
                 C5 
                  4.666851E−23 
                  1.342877E−23 
                  7.467060E−24 
                 −1.240183E−25 
                 −1.004802E−27  
               
               
                 C6 
                 −1.905456E−27 
                 −4.061739E−28 
                 −2.463306E−28 
                 −3.737311E−31 
                 3.611732E−32 
               
               
                 C7 
                   
                   
                   
                   
                 −6.507196E−37  
               
               
                 C8 
                   
                   
                   
                   
                 6.094959E−42 
               
               
                   
               
               
                 Surface 
                 14 
                 15 
                 25 
                 30 
                 35 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −1.471452E−07 
                 1.493626E−09 
                 −2.761928E−08 
                 3.891658E−09 
                  8.202081E−10 
               
               
                 C2 
                  3.389142E−12 
                 7.786239E−13 
                  1.065077E−13 
                 −2.344148E−13  
                 −6.269685E−13 
               
               
                 C3 
                 −1.091618E−15 
                 3.130190E−17 
                  8.399310E−18 
                 1.511118E−17 
                 −2.459088E−16 
               
               
                 C4 
                  1.594470E−19 
                 2.199868E−22 
                 −2.005406E−21 
                 −1.816247E−21  
                  5.806198E−20 
               
               
                 C5 
                 −2.248477E−23 
                 −1.132529E−25  
                  1.619754E−25 
                 3.834331E−26 
                 −3.997034E−24 
               
               
                 C6 
                  1.655691E−27 
                 2.738900E−30 
                 −8.094709E−30 
                 5.510731E−31 
                  1.041043E−28 
               
               
                 C7 
                 −5.527960E−32 
               
               
                 C8 
                 −3.066052E−37 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 Surface 
                 37 
               
               
                   
                   
               
               
                   
                 K 
                 0 
               
               
                   
                 C1 
                 1.252989E−07 
               
               
                   
                 C2 
                 2.533320E−12 
               
               
                   
                 C3 
                 1.123761E−16 
               
               
                   
                 C4 
                 −1.266332E−19  
               
               
                   
                 C5 
                 1.618688E−23 
               
               
                   
                 C6 
                 −8.614797E−28  
               
               
                   
                 C7 
               
               
                   
                 C8 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 40 
               
             
            
               
                   
               
               
                 (d125i9) 
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 Radius 
                 Asphere 
                 Thickness 
                 Material 
                 ½ Diameter 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0 
                 0.000000 
                   
                 31.999820 
                   
                 72.0 
               
               
                 1 
                 1121.871530 
                 AS 
                 22.353990 
                 SIO2V 
                 81.6 
               
               
                 2 
                 −593.507575 
                   
                 151.330057 
                   
                 83.2 
               
               
                 3 
                 −276.701090 
                   
                 −150.330068 
                 REFL 
                 99.4 
               
               
                 4 
                 −1841.732700 
                   
                 158.991136 
                 REFL 
                 58.1 
               
               
                 5 
                 −1993.161426 
                   
                 66.359854 
                 SIO2V 
                 129.7 
               
               
                 6 
                 −226.138813 
                   
                 0.999989 
                   
                 137.1 
               
               
                 7 
                 320.967306 
                   
                 58.008492 
                 SIO2V 
                 147.2 
               
               
                 8 
                 −521.971452 
                 AS 
                 138.103093 
                   
                 146.7 
               
               
                 9 
                 1018.489753 
                 AS 
                 33.863171 
                 SIO2V 
                 132.4 
               
               
                 10 
                 −836.147368 
                   
                 169.056435 
                   
                 131.1 
               
               
                 11 
                 −150.333251 
                   
                 22.332601 
                 SIO2V 
                 98.2 
               
               
                 12 
                 −264.622066 
                   
                 19.637756 
                   
                 104.6 
               
               
                 13 
                 −642.439229 
                   
                 −19.637756 
                 REFL 
                 105.6 
               
               
                 14 
                 −264.622066 
                   
                 −22.332601 
                 SIO2V 
                 96.6 
               
               
                 15 
                 −150.333251 
                   
                 −169.056435 
                   
                 86.0 
               
               
                 16 
                 −836.147368 
                   
                 −33.863171 
                 SIO2V 
                 72.6 
               
               
                 17 
                 1018.489753 
                 AS 
                 −94.088120 
                   
                 78.6 
               
               
                 18 
                 196.895316 
                   
                 −14.999941 
                 SIO2V 
                 99.4 
               
               
                 19 
                 1436.276484 
                   
                 −28.015060 
                   
                 114.2 
               
               
                 20 
                 263.470635 
                   
                 28.015060 
                 REFL 
                 117.3 
               
               
                 21 
                 1436.276484 
                   
                 14.999941 
                 SIO2V 
                 115.4 
               
               
                 22 
                 196.895316 
                   
                 94.088120 
                   
                 104.5 
               
               
                 23 
                 1018.489753 
                 AS 
                 33.863171 
                 SIO2V 
                 98.4 
               
               
                 24 
                 −836.147368 
                   
                 232.111001 
                   
                 96.3 
               
               
                 25 
                 −203.114130 
                 AS 
                 20.739811 
                 SIO2V 
                 89.7 
               
               
                 26 
                 −179.567740 
                   
                 1.000292 
                   
                 94.4 
               
               
                 27 
                 214.374385 
                   
                 45.853859 
                 SIO2V 
                 107.3 
               
               
                 28 
                 −685.859253 
                 AS 
                 14.406908 
                   
                 106.3 
               
               
                 29 
                 155.448944 
                   
                 34.186529 
                 SIO2V 
                 99.0 
               
               
                 30 
                 402.440360 
                   
                 26.948978 
                   
                 95.4 
               
               
                 31 
                 1784.180000 
                   
                 14.999955 
                 SIO2V 
                 87.8 
               
               
                 32 
                 215.162499 
                   
                 22.977434 
                   
                 79.8 
               
               
                 33 
                 −1182.190098 
                   
                 22.085678 
                 SIO2V 
                 78.7 
               
               
                 34 
                 −212.011934 
                   
                 1.511427 
                   
                 77.6 
               
               
                 35 
                 −2234.326431 
                 AS 
                 16.015583 
                 SIO2V 
                 73.6 
               
               
                 36 
                 102.656630 
                   
                 55.587588 
                   
                 68.2 
               
               
                 37 
                 227.255721 
                   
                 75.569686 
                 SIO2V 
                 88.7 
               
               
                 38 
                 −317.233998 
                   
                 1.001303 
                   
                 92.3 
               
               
                 39 
                 1810.772356 
                 AS 
                 34.492120 
                 SIO2V 
                 91.9 
               
               
                 40 
                 −251.541624 
                   
                 3.237774 
                   
                 94.2 
               
               
                 41 
                 0.000000 
                   
                 −2.238080 
                   
                 92.7 
               
               
                 42 
                 312.037351 
                   
                 16.355638 
                 SIO2V 
                 94.5 
               
               
                 43 
                 1101.731550 
                 AS 
                 0.999509 
                   
                 94.2 
               
               
                 44 
                 373.203773 
                   
                 35.331514 
                 SIO2V 
                 95.0 
               
               
                 45 
                 −352.262575 
                   
                 0.999305 
                   
                 95.0 
               
               
                 46 
                 800.952563 
                   
                 34.674551 
                 SIO2V 
                 91.8 
               
               
                 47 
                 −210.477645 
                 AS 
                 0.999728 
                   
                 90.3 
               
               
                 48 
                 72.234210 
                   
                 29.521553 
                 SIO2V 
                 58.5 
               
               
                 49 
                 126.294484 
                   
                 7.096090 
                   
                 50.0 
               
               
                 50 
                 89.472175 
                   
                 36.272448 
                 SIO2V 
                 41.5 
               
               
                 51 
                 0.000000 
                   
                 0.000000 
                   
                 18.0 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 40A 
               
               
                   
               
               
                 (d125i9) 
               
               
                 Aspherical Constants 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 Surface 
                 1 
                 8 
                 9 
                 17 
                 23 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −6.489547E−09 
                  1.779063E−08 
                 −2.537260E−09  
                 −2.537260E−09  
                 −2.537260E−09  
               
               
                 C2 
                  2.573979E−12 
                 −1.318309E−13 
                 8.794118E−14 
                 8.794118E−14 
                 8.794118E−14 
               
               
                 C3 
                 −6.945437E−18 
                  1.871976E−18 
                 1.370489E−18 
                 1.370489E−18 
                 1.370489E−18 
               
               
                 C4 
                 −9.856064E−22 
                 −2.538137E−23 
                 2.480376E−23 
                 2.480376E−23 
                 2.480376E−23 
               
               
                 C5 
                 −5.398838E−26 
                  5.262554E−28 
                 3.221917E−28 
                 3.221917E−28 
                 3.221917E−28 
               
               
                 C6 
                  3.582736E−29 
                 −4.568847E−33 
                 −1.526882E−32  
                 −1.526882E−32  
                 −1.526882E−32  
               
               
                   
               
               
                 Surface 
                 25 
                 28 
                 35 
                 39 
                 43 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                  3.488627E−08 
                  5.518741E−08 
                 −1.889508E−07 
                 −1.194060E−07 
                 2.132675E−08 
               
               
                 C2 
                 −5.495753E−13 
                 −1.879963E−12 
                 −7.683963E−12 
                 −3.708989E−13 
                 3.335407E−12 
               
               
                 C3 
                 −6.723461E−17 
                 −1.208371E−18 
                  9.545139E−17 
                  4.020986E−17 
                 8.797815E−17 
               
               
                 C4 
                  2.810907E−21 
                  8.370662E−22 
                  1.920197E−20 
                 −1.082725E−20 
                 −6.582985E−21  
               
               
                 C5 
                 −1.827899E−25 
                 −3.751988E−26 
                  1.709381E−24 
                  3.369011E−26 
                 −4.306562E−26  
               
               
                 C6 
                  4.402454E−30 
                  1.768617E−30 
                 −4.887431E−30 
                  1.763283E−29 
                 1.609953E−29 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 Surface 
                 47 
               
               
                   
                   
               
               
                   
                 K 
                 0 
               
               
                   
                 C1 
                 1.327564E−08 
               
               
                   
                 C2 
                 8.696711E−13 
               
               
                   
                 C3 
                 −1.462960E−16  
               
               
                   
                 C4 
                 1.072413E−20 
               
               
                   
                 C5 
                 −5.792663E−25  
               
               
                   
                 C6 
                 7.946613E−30 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 41 
               
               
                   
               
               
                 FIG. 
                 NA 
                 Y′ 
                 N L   
                 N OP   
                 D max   
                 COMP1 
                 COMP2 
                 COMP3 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 4 
                 1.10 
                 16.25 
                 17 
                 3 
                 201.5 
                 10.25 
                 174.21 
                 58.07 
               
               
                 7 
                 1.10 
                 16.25 
                 17 
                 3 
                 220.9 
                 11.23 
                 190.99 
                 63.66 
               
               
                 8 
                 1.15 
                 16.25 
                 17 
                 3 
                 220.1 
                 10.24 
                 174.11 
                 58.04 
               
               
                 16 
                 1.20 
                 16.25 
                 20 
                 3 
                 219.7 
                 9.39 
                 187.78 
                 62.59 
               
               
                 17 
                 1.20 
                 16.25 
                 21 
                 3 
                 235.5 
                 10.06 
                 211.35 
                 70.45 
               
               
                 19 
                 1.20 
                 16.25 
                 20 
                 3 
                 263.9 
                 11.28 
                 225.56 
                 75.19 
               
               
                 20 
                 1.20 
                 16.00 
                 19 
                 3 
                 306.5 
                 13.30 
                 252.76 
                 84.25 
               
               
                 21 
                 1.20 
                 16.17 
                 20 
                 3 
                 240.6 
                 10.33 
                 206.66 
                 68.89 
               
               
                 22 
                 1.20 
                 16.25 
                 19 
                 3 
                 249.3 
                 10.65 
                 202.42 
                 67.47 
               
               
                 23 
                 1.20 
                 16.17 
                 18 
                 3 
                 264.2 
                 11.35 
                 204.24 
                 68.08 
               
               
                 27 
                 1.20 
                 16.50 
                 23 
                 3 
                 269.9 
                 11.36 
                 261.27 
                 87.09 
               
               
                 28 
                 1.20 
                 16.50 
                 23 
                 3 
                 229.4 
                 9.65 
                 222.06 
                 74.02 
               
               
                 30 
                 1.20 
                 16.50 
                 21 
                 3 
                 266.1 
                 11.20 
                 235.19 
                 78.40 
               
               
                 31 
                 1.20 
                 16.50 
                 20 
                 3 
                 272.6 
                 11.47 
                 229.46 
                 76.49 
               
               
                 32 
                 1.20 
                 16.50 
                 20 
                 3 
                 272.3 
                 11.46 
                 229.21 
                 76.40 
               
               
                 34 
                 1.20 
                 16.50 
                 22 
                 3 
                 241.0 
                 10.14 
                 223.15 
                 74.38 
               
               
                 36 
                 1.20 
                 16.50 
                 23 
                 3 
                 278.6 
                 11.73 
                 269.69 
                 89.90 
               
               
                 37 
                 1.20 
                 16.50 
                 23 
                 3 
                 250.2 
                 10.53 
                 242.20 
                 80.73 
               
               
                 38 
                 1.20 
                 16.50 
                 23 
                 3 
                 263.4 
                 11.09 
                 254.97 
                 84.99 
               
               
                 39 
                 1.20 
                 17.00 
                 16 
                 3 
                 260.0 
                 10.62 
                 169.93 
                 56.64 
               
               
                 40 
                 1.05 
                 18.00 
                 19 
                 3 
                 294.0 
                 14.81 
                 281.48 
                 93.83