Abstract:
The invention relates to an objective designed as a microlithography projection objective for an operating wavelength. The objective has a greatest adjustable image-side numerical aperture NA, at least one first lens made from a solid transparent body, in particular glass or crystal, with a refractive index n L  and at least one liquid lens (F) made from a transparent liquid, with a refractive index n F . At the operating wavelength the first lens has the greatest refractive index n L  of all solid lenses of the objective, the refractive index n F  of the at least one liquid lens (F) is bigger than the refractive index n L  of the first lens and the value of the numerical aperture NA is bigger than 1.

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     This application is a continuation and claims the benefit of priority under 35 U.S.C. § 120 of U.S. application Ser. No. 10/562,257, filed Dec. 21, 2005, which is a National Phase application filed under 35 U.S.C. § 371, from PCT Application No. PCT/EP2004/014219, filed Dec. 14, 2004, which claims the benefit of priority to: U.S. Ser. No. 60/530,623, filed Dec. 19, 2003; U.S. Ser. No. 60/544,967 filed Feb. 13, 2004; U.S. Ser. No. 60/568,006 filed May 4, 2004; U.S. Ser. No. 60/591,775 filed Jul. 27, 2004; U.S. Ser. No. 60/592,208 filed Jul. 29, 2004; and U.S. Ser. No. 60/612,823 filed Sep. 24, 2004. These applications are incorporated herein by reference in their entirety. 
     The invention relates to an objective designed as a microlithography projection objective. The objective according to the invention comprises at least one liquid lens made from a transparent liquid. 
     2. Description of the Related Art 
     Microlithography projection objectives of multivarious design are known. 
     In all imaging systems, the smallest resolvable structural width is proportional to the numerical aperture NA at the image plane. 
     This, in turn, is proportional to the angle of incidence and the refractive index n I  of the medium through which the light falls onto the image plane. 
     By contrast with so-called dry objectives with gas (air, N 2 , He and the like) or a vacuum with a refractive index of approximately 1.0, a material, in particular a liquid, with a substantially higher refractive index is used as this medium in immersion systems. 
     For example, as far as is known for the wavelength 193 nm water has a refractive index n H2O =1.44. 
     High-index lenses with a refractive index much higher than 1.6 have been used in microlithography at wavelengths of greater than 365 nm, but they become incapable of use at the wavelengths of practical relevance such as 248 nm, 195 nm, 157 nm, since they are not sufficiently transparent, and so on. Lenses made from sapphire have a high refractive index but are birefringent, and this must be compensated in a complicated way and with limited success. 
     SUMMARY OF THE INVENTION 
     The inventors have recognized that, furthermore, the possible image-side numerical aperture NA is limited by the refractive index of the curved optical element next to the image plane. 
     Such an element can be provided as a liquid lens that can also serve simultaneously as immersion liquid, specifically with or without a plane-parallel separation plate. However, if the refractive index n F  thereof lags behind the refractive index n L  of the solid lenses used in the objective, the achievable NA remains still smaller, NA&lt;n F . 
     The difference is significant in the case of a 193 nm objective with lenses made from fused silica with n L =1.56 and with water as an immersion and a liquid lens with n F =1.44. 
     According to the invention, use is made in the objective of at least one liquid lens whose refractive index n F  is greater than the refractive index n L  of each solid lens in the objective. The first lens in the meaning of claim  1  is the lens, arranged at any desired location in the objective, made from the highest-index solid lens material which is used in the objective. As also in the embodiments shown, all the lenses—except for the liquid lens or lenses—consist in many cases of the same solid material. 
     With respect to lenses made from fused silica or calcium fluoride, which are established for microlithography projection objectives with the operating wavelengths of 248 nm, 193 nm, 157 nm, liquids with, for example, n F =1.6, n F =1.65 or n F =1.8 are suitable. 
     There is a corresponding result for other lens materials known for the deep UV (DUV) and vacuum UV, such as fluoride crystals BaF 2 , SrF 2 , LiF, NaF and others. 
     Although there are many developments of immersion liquids for applications in microlithography, it is clear at least in principle that H 2 SO 4  (sulfuric acid), H 3 PO 4  (phosphoric acid) and their solutions in H 2 O (water) yield adjustable refractive indices of 1.5-1.8 at 193 nm in conjunction with suitable transmission. In addition, the corrosive action of these substances is substantially reduced with the aid of substitution of heavy isotopes, in particular deuterium. This is described inter alia in U.S. Application Ser. No. 60/568,006. 
     Corrosion protection layers can be provided on the solid optical elements. This is disclosed inter alia in U.S. Application Ser. No. 60/530,623. 
     Accordingly, an objective having the features of claim  1  has surprisingly been found to be particularly advantageous. A microlithography projection objective with an image-side numerical aperture NA greater than 1, which is not accessible for a dry objective, is substantially relieved and extended as regards the possibilities for its optical design and correction when use is made of a liquid lens with a refractive index greater than the refractive index of the solid lenses. In the case of lenses made from different materials, the largest refractive index of all these lenses is exceeded. A plane-parallel plate, in particular an end plate made from sapphire, for example, may have a higher refractive index, in this case. 
     Objectives are usually corrected for specific operating wavelengths and can be operated reasonably only at these wavelengths. The refractive indices of all materials vary with wavelength, and it is always the values for the operating wavelength which are used as a basis here. Other wavelengths can traverse the objective, for example for the purposes of measurement. 
     It has surprisingly been found that on the basis of the invention it is possible to design objectives with an NA greater than the refractive index n L  of every solid lens. This is also reflected in claim  2 . 
     The liquid lens can be an immersion at the same time, that is to say it can be in contact to the object to be exposed. Alternatively, it is possible for an optical element made from a solid transparent body, in particular an end plate, to be arranged there between. 
     The liquids of the liquid lens and of the immersion at the object can then be adapted to various conditions such as:
         in the case of the immersion:
           rapid movement for step-and-scan   contact with materials of the wafer such as resist   contact with air   cleaning requirements for wafer processing after exposure   
           in the case of the liquid lens:
           contact with material of the adjacent solid lens
 
and be selected, accordingly.
   
               

     Since the refractive indices n F  of the liquid lens and n I  of the immersion are lower bounds for the achievable NA, it is natural to prefer that n F =n I . 
     The effect of increasing the accessible NA caused by the liquid lens with high refractive index n F  becomes greatest when said lens is the last curved element on the image side. 
     Substantially hemispherical last lenses have proved in this case to be advantageous, since then the angle of incidence of the light varies relatively slightly over the lens surface and remains close to the normal to the curved surface. The critical angle of total reflection is thus effectively avoided. 
     Intermediate images in the objective are a measure by which the lens diameters can be kept small. The availability and the price of lens material and of finish-machined lenses in a quality suitable for microlithography projection objectives are very substantially relieved at lower diameters. 
     It is therefore to be pointed out that, otherwise than in the US classification 359/642 defined for LENS, here it is precisely also optical systems with an intermediate image, even several thereof, that are designated as an objective. Designs of objectives suitable for the invention are inter alia disclosed in U.S. Application Ser. No. 60/544,967, U.S. Application Ser. No. 60/592,208 and U.S. Application Ser. No. 60/591,775. 
     The field flattening is a central problem with such an objective, being equivalent to a minimization of the Petzval sum. 
     Primarily for this purpose, but also for color correction (achromatization), a design as a catadioptric system comprising at least one curved mirror in addition to the lenses is advantageous. A combination of a negative lens and a concave mirror is particularly effective for color correction. Further possibilities for color correction are disclosed in U.S. Application Ser. No. 60/530,978. Catadioptric systems frequently have folding mirrors, thereby permitting the light beams running to a mirror to be separated from those returning therefrom. Such systems are also described and covered here. 
     However, all surfaces of the optical system are effective for correction when all mirrors are curved. This is possible, in particular, with an even number, especially 2, of curved mirrors. It is also possible in this case for the entire objective to be constructed along a common axis of symmetry in relation to which all the mirror and lens surfaces exhibit a rotationally symmetrical shape where light passes through. However, there is asymmetric edging in the region of the mirrors and, if appropriate, adjacent lenses. Adjustment and vibration resistance as well as installation space requirements of the objective profit from the common axis of symmetry. 
     It is favorable in this case if the objective comprises an image-side objective part arranged at the image-side end of the objective and an intermediate objective part preceding the image-side objective part with respect of the direction of the light moving from the object-side end to the image-side end of the objective. If not defined otherwise, this direction is the reference whenever a position of a component of the objective is defined. The intermediate objective part is containing mirrors and may be designed catoptrically as, for example, in  FIG. 1-FIG .  3 , or catadioptrically as in the other embodiments. The image-side objective part, which is purely refractive, is providing the extreme aperture and comprises the liquid lens. 
     It did surprisingly turn out that this image side objective part advantageously has its pupil in the region of the beam path which is convergent in relation to the image plane, or, as described in claim  11 , that said pupil is located between the lens of the greatest diameter used and the image plane. 
     In this region, the strong positive refractive power which is required in order to produce the large angles of incidence at the image plane in accordance with the high NA is expediently distributed over a plurality of positive meniscus lenses which are concave on the image side. Both chromatic aberrations and contributions to the Petzval sum are thereby reduced. 
     The inventors have established that the solid lens preceding the liquid lens according to the invention and defining the object-side surface of the liquid lens should be a meniscus lens whose center thickness (THICKNESS in accordance with the tables) is smaller than the difference of the radii of curvature (RADIUS) of the two lens surfaces. Such a meniscus lens having negative refractive power in the paraxial region makes a transition in part to an action of positive refractive power in the outer region where beams strike more steeply, that is from further outside, than the normal to the surface. 
     It is advantageous when the objective comprises an object-side objective part being arranged at the object-side end of the objective and producing an intermediate image on the object side of the intermediate objective part. 
     This permits, inter alia, greater freedom in configuring the passage of the light bundles next to the mirrors, and yields an additional diaphragm location which can well be situated in an air space and is therefore well suited as a stop-down aperture diaphragm. 
     It is to be seen in the embodiments that it is advantageous to provide lenses of low refractive power with a strongly modulated aspheric shape preceding this diaphragm plane and to provide a strongly curved meniscus lens subsequent to this diaphragm plane, the meniscus lens being concave on the diaphragm side. 
     It is clear that such high-aperture projection objectives for microlithography of very high resolution require intensive use of aspherics, since essential parameters for image correction are thereby provided. 
     Deliberate use is also made in the exemplary embodiments of very strong aspherics and those whose deviation from the spherical shape does not exhibit a monotonic profile over the distance from the optical axis. 
     As already mentioned, such aspherics are particularly advantageous in the object-side objective part. 
     It emerges in addition that in the image-side objective part some positive lenses yield particularly suitable arrangements of strong aspherics. These positive lenses are situated in the region of the steeply rising light bundle diameter between the negative lenses arranged near the intermediate image and the belly of the light bundle at the lens with the maximum of the diameter of the light bundle passing through. 
     The embodiments presented are partly of an experimental nature. However, to the person skilled in the art who compares these with similar design solutions known to him and derives modifications therefrom they yield clear-cut teachings from which he is able to modify designs of objectives. 
     The various designs of the individual embodiments make this clear, and can, of course, also be combined with one another and with other known designs in the meaning of the invention. 
     The exemplary embodiments are explained in more detail with the aid of the drawings, in which 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1 to 6  respectively show a meridian section of an embodiment of an objective according to the invention. 
     
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     In  FIG. 1 to 6  marginal and principal rays are depicted for the object points nearest and furthest from the axis. Aspheric surfaces are marked twice with 3 lines at the contour. 
     The optical axis or the axis of symmetry of the curvatures of the surfaces is marked by dots and dashes. 
     In each case OB denotes the object plane. This corresponds to the surface (SURF) 0 in the tables. IM denotes the image plane and corresponds in each case to the surface of the highest number in the tables. 
     F respectively denotes the liquid lens according to the invention. 
     EP denotes an optional end plate. 
     IMI 1  and IMI 2  are the intermediate images. 
     AP denotes the position of the system aperture at which an adjustable diaphragm can be arranged and will also be referred to as diaphragm plane. 
     P denotes the pupil in an image-side objective part. 
     All embodiments shown are designed for the operating wavelength 193.4 nm (ArF Excimer Laser) and reduce by 1:4—without limiting the invention thereto. 
     Tables  1   a  to  6   a  respectively give the design data for the drawing of the same number. Tables  1   b  to  6   b  respectively specify the aspheric data of the aspheric lens and mirror surfaces, which are identified in the drawings by three primes. The illustration is made using the Optik-Design-Software CODE V™ from Optical Research Associates and corresponds to their conventions. 
     In each embodiment shown in  FIG. 1 to 6  the objective comprise an object-side objective part, an image-side objective part and an intermediate objective part. The object-side objective part is situated at the object-side end of the objective. The image-side objective part is situated at the image-side end of the objective. The intermediate objective part is situated between the object-side objective part and the image-side objective part. In the embodiments the object-side objective part and the image side objective part are purely reflective. The intermediate objective part is catoptric or catadioptric. 
     In the embodiments of  FIG. 1  to  FIG. 3  the value of the numerical aperture NA=1.4. The liquid of the lens F and the immersion have the same refractive index n F =n I =1.65. The material of the solid lenses is fused silica with an index of refraction n L =1.56. 
     The distance from the object plane OB to the image IM is 1250 mm and thereby a common value. 
     The image field is 26 mm×5.5 mm, decentered by 4.66 mm. However, the correction state yields an RMS wave front error of this image field of approximately 10-20 per mil of the operating wavelength. 
     The lenses of the object-side objective part and the image side objective part are rotationally symmetrical in relation to a common axis of symmetry, with the two mirrors of the catoptric version of the intermediate objective part certainly being curved in an axially symmetrical fashion, but being edged asymmetrically. 
     The design of the objective will now be described in more detail with respect to the embodiment of  FIG. 1 . Most of the features are also present at the embodiments of  FIG. 2 to 6 , but will only be explained in some detail with respect to  FIG. 1 . 
     The object-side objective part comprises an accessible diaphragm plane AP with the stop-down system diaphragm. Preceding the diaphragm plane AP there is a particularly strongly modulated aspheric (surface 7 of table 1a/b). Subsequent to the diaphragm plane AP there is a meniscus lens which is concave on the side of the diaphragm plane AP (surfaces 15, 16 in table 1a). 
     The intermediate objective part is designed catoptrically and comprises two concave mirrors (surfaces 23, 24 in table 1a). 
     The image-side objective part subsequent to the second intermediate image IMI 2 —the intermediate images are not corrected and do not form an image plane—begins with a positive lens group of single-lens design, forms a waist with a number of negative lenses, and has a positive lens group with many members which forms a massive belly. 
     Strongly modulated aspherics (inter alia, surface 36 in table 1a/b) are significant in the initial region of the positive lens group where the diameter of the light bundle and of the lenses are increasing. The middle of the belly is formed by the lens of greatest diameter (surface 41/42 in table 1a/b, height (SEMIDIAM, half lens diameter) 160 mm). The production of lithographic projection objectives is very economical with this lens diameter. The pupil P of the image-side objective part is, in a fashion typical of the objectives according to the invention, following this largest lens in the convergent beam path. 
     In the embodiment of  FIG. 1 , the liquid lens F is formed between the surface 50 and the image plane IM (surface 52) and is at the same time the immersion. It is virtually hemispherical given the radius 34.6 mm and the thickness 30.1+3.0=33.1 mm. The ratio of radius to thickness is 1.05. The adjacent last fused silica lens is in this case a meniscus lens whose thickness of 10 mm is substantially smaller than the difference of the radii 66 mm-34 mm (surfaces 49/50). 
     In the embodiment of  FIG. 2 , once again the liquid lens F is at the same time likewise immersion. However, it is substantially flatter than the liquid lens F of  FIG. 1 . Only in combination with the last fused silica lens, the liquid lens F forms an approximately hemispherical member. 
     Using a rather flat liquid lens F makes the exchange of the liquid simpler. 
     It has been established that a plane-parallel plate which separates the liquid lens F and the immersion is not critical for the optical function. This holds in particular when the refractive index of the plan-parallel plate is greater than the refractive indices n F  of the liquid lens F and n I  of the immersion. 
     Starting from the embodiment of  FIG. 1 ,  FIG. 3  shows an embodiment with such an end plate EP of refractive index n EP =1.80. By adapting the thickness, it can easily be exchanged for a plate made from sapphire with n EP =1.92. 
     In the embodiment of  FIG. 4  (table 4a/b) a catadioptric design is used for the intermediate objective part. 
     Given the same NA, n F , n L  as the preceding embodiments, the image field is somewhat deviant with 22×5.2 mm and greater decentering of 5.753 mm. 
     In this embodiment two planar folding mirrors FM 1  (surface 21) and FM 2  (surface 31) are used as geometric beam splitters. Provided in a lateral arrangement are a concave mirror—surface 26 in table 4a/b—and lenses of negative refractive power through which the light passes twice. The surfaces 22-25 of these lenses are thus present once more specularly as 27 to 30 in table 4a/b, since they refract the light twice. 
     The high-index liquid lens F is also advantageously used with this quite different approach to the design of the microlithographic projection objective. In a way similar to  FIG. 1 , it is designed here as “immersion lens”, touching the object, between the surfaces 63 and 65. 
     The two embodiments of  FIG. 5  and  FIG. 6  for the first time exhibit objectives with the numerical aperture NA=1.6 being greater than the refractive index n L  of the solid lenses used. The solid lenses are made from fused silica with n L =1.56. The refractive index of the liquid lens F is n F =1.80. Also these embodiments are corrected much better than in a diffraction-limited fashion, their image field being 20 mm×4 mm at a decentering of 4.375 mm. The RMS wavefront error is below a tenth of the operating wavelength 193.4 mm. 
     Here, as well, the object-side objective part is purely refractive. It includes the accessible and stop-down diaphragm plane AP and strong aspherics preceding the diaphragm plane AP. Here these aspherics are two lenses of lesser refractive power but stronger modulation of the aspheric shape deviation, surfaces 5 and 8 in table 5a/b. Arranged subsequent to these aspherics is a likewise strongly curved meniscus lens, surfaces 10, 11 in table 5a/6. 
     The intermediate objective part is once again a prolate catadioptric objective with two concave mirrors, similar to  FIG. 1-3 , but now with a positive field lens (surfaces 20, 21 in table 5a) preceding the second intermediate image IMI 2 . 
     The positive field lens replaces the positive first lens group present in  FIG. 1-3  in the image-side objective part. 
     The image-side objective part thus begins with a negative lens group and forms a belly with a multilens positive lens group. In the embodiment of  FIG. 5  the greatest lens diameter is reached with 165 mm at the lenses 30/31 and 32/33 as can be seen in table 5a. A plurality of positive meniscus lenses which are concave in relation to the image plane IM is arranged subsequent to these lenses. The pupil P of the image-side objective part lies in the region of these meniscus lenses. The last fused silica lens (surfaces 40, 41 of table 5a) on the image side is once again of negative refractive power in the paraxial region. This lens is formed as a meniscus lens with a concave surface on the image side whose thickness is 8.9 mm and thus smaller than the difference of the radii 58.8 mm-37.8 mm=21 mm. 
     In the embodiment of  FIG. 5 , the liquid lens F is immersion at the same time, and thus abuts the image plane IM and the object, which is arranged there in order to exposed. This object can be, for example, a wafer. The radius of the spherical surface 41 is 37.8 mm and thus smaller than the thickness of 45.8 mm. The sine of the angle of incidence is smaller than 0.89 at all surfaces. The catadioptric intermediate objective part is enlarging. The sines of the angles of incidence at the concave mirrors are below 0.45. 
     The embodiment of  FIG. 6  and table 6a/b comprise a 3.0 mm thick end plate EP made from sapphire. The liquid lens F is now formed between the surfaces 42, 43 of table 6a. Their thickness is 40.2 mm, the radius is 38.1 mm. The thickness is thus 105% of the radius. 
     It has thus been shown that liquid lenses F of high refractive index permit the design of high-quality projection objectives with extreme numerical apertures. 
     Multivarious approaches and instructions are thus given to the person skilled in the art in order to use this teaching for further developing different kinds of known approaches in designing objectives. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 1a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 35.000000 
                   
                 1.00030168 
                 66.000 
               
               
                  1 
                 ∞ 
                 0.100881 
                   
                 1.00030168 
                 77.003 
               
               
                  2 
                 173.279980 
                 34.026411 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                  3 
                 −1081.359892 
                 2.602590 
                   
                 1.00029966 
                 90.000 
               
               
                  4 
                 284.316798 
                 47.383982 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                  5 
                 −1674.306964 
                 22.855576 
                   
                 1.00029966 
                 95.000 
               
               
                  6 
                 577.261196 
                 36.645573 
                 SIO2V 
                 1.56078570 
                 76.354 
               
               
                  7 
                 −314.377359 
                 0.999980 
                   
                 1.00029966 
                 73.677 
               
               
                  8 
                 290.150309 
                 25.000000 
                 SIO2V 
                 1.56078570 
                 75.000 
               
               
                  9 
                 −348.828624 
                 1.000000 
                   
                 1.00029966 
                 75.000 
               
               
                 10 
                 357.767685 
                 29.107951 
                 SIO2V 
                 1.56078570 
                 75.000 
               
               
                 11 
                 −185.316330 
                 18.309132 
                   
                 1.00029966 
                 75.000 
               
               
                 12 
                 ∞ 
                 0.000000 
                   
                 1.00029966 
                 36.370 
               
               
                 13 
                 ∞ 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 44.778 
               
               
                 14 
                 ∞ 
                 24.909905 
                   
                 1.00029966 
                 47.596 
               
               
                 15 
                 −65.374870 
                 14.999947 
                 SIO2V 
                 1.56078570 
                 50.000 
               
               
                 16 
                 −87.154980 
                 13.643080 
                   
                 1.00029966 
                 60.000 
               
               
                 17 
                 −175.112352 
                 18.964687 
                 SIO2V 
                 1.56078570 
                 65.000 
               
               
                 18 
                 −111.646867 
                 1.049880 
                   
                 1.00029966 
                 70.000 
               
               
                 19 
                 −155.839260 
                 37.603622 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 20 
                 −102.943508 
                 0.099910 
                   
                 1.00029966 
                 80.000 
               
               
                 21 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 90.389 
               
               
                 22 
                 ∞ 
                 209.622700 
                   
                 1.00029966 
                 92.498 
               
               
                 23 
                 −166.402525 
                 −209.622700 
                 REFL 
                 1.00029966 
                 150.000 
               
               
                 24 
                 173.713446 
                 209.622700 
                 REFL 
                 1.00029966 
                 125.000 
               
               
                 25 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 99.138 
               
               
                 26 
                 ∞ 
                 0.100021 
                   
                 1.00029966 
                 105.283 
               
               
                 27 
                 174.736655 
                 46.035435 
                 SIO2V 
                 1.56078570 
                 110.000 
               
               
                 28 
                 369.899337 
                 2.484896 
                   
                 1.00029966 
                 105.000 
               
               
                 29 
                 511.775400 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                 30 
                 117.498299 
                 37.368783 
                   
                 1.00029966 
                 80.000 
               
               
                 31 
                 −690.607305 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 32 
                 153.845418 
                 25.455370 
                   
                 1.00029966 
                 80.000 
               
               
                 33 
                 20331.979093 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                 34 
                 347.272006 
                 22.437822 
                   
                 1.00029966 
                 90.000 
               
               
                 35 
                 502.344250 
                 44.143760 
                 SIO2V 
                 1.56078570 
                 120.000 
               
               
                 36 
                 −231.373663 
                 17.400867 
                   
                 1.00029966 
                 120.000 
               
               
                 37 
                 −837.483770 
                 31.483968 
                 SIO2V 
                 1.56078570 
                 130.000 
               
               
                 38 
                 −254.746002 
                 6.600316 
                   
                 1.00029966 
                 135.000 
               
               
                 39 
                 −392.185232 
                 82.775939 
                 SIO2V 
                 1.56078570 
                 140.000 
               
               
                 40 
                 −196.513232 
                 1.000000 
                   
                 1.00029966 
                 155.000 
               
               
                 41 
                 610.397747 
                 56.287416 
                 SIO2V 
                 1.56078570 
                 160.000 
               
               
                 42 
                 −556.907407 
                 0.999835 
                   
                 1.00029966 
                 160.000 
               
               
                 43 
                 296.607308 
                 48.957456 
                 SIO2V 
                 1.56078570 
                 150.000 
               
               
                 44 
                 −1578.327293 
                 1.000000 
                   
                 1.00029966 
                 150.000 
               
               
                 45 
                 216.352446 
                 43.826306 
                 SIO2V 
                 1.56078570 
                 125.000 
               
               
                 46 
                 2322.892305 
                 1.000000 
                   
                 1.00029966 
                 125.000 
               
               
                 47 
                 101.534703 
                 42.624105 
                 SIO2V 
                 1.56078570 
                 88.000 
               
               
                 48 
                 255.691515 
                 0.999893 
                   
                 1.00029966 
                 85.000 
               
               
                 49 
                 66.827516 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 52.000 
               
               
                 50 
                 34.581844 
                 30.092080 
                 (F) 
                 1.65000000 
                 34.000 
               
               
                 51 
                 ∞ 
                 3.000000 
                 (F) 
                 1.65000000 
                 34.000 
               
               
                 52 = IM 
                 ∞ 
                   
                   
                   
                 34.000 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
               
               
               
               
             
           
               
                 TABLE 1b 
               
               
                   
               
               
                 ASPHERIC ONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 2 
                 5 
                 7 
                 17 
                 19 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −5.719118e−08 
                 −1.218375e−07 
                 4.192613e−07 
                 −2.035191e−07 
                 6.581837e−08 
               
               
                 C2 
                 −6.011473e−13 
                  9.454546e−12 
                 4.225479e−12 
                 −2.746520e−11 
                 1.290762e−11 
               
               
                 C3 
                 −2.863941e−16 
                 −1.629731e−15 
                 1.483284e−15 
                 −2.529717e−15 
                 6.638127e−16 
               
               
                 C4 
                  2.205921e−20 
                  1.088963e−19 
                 3.420546e−19 
                  5.381454e−19 
                 −2.943367e−19  
               
               
                 C5 
                 −5.981074e−24 
                  8.373344e−24 
                 −2.828899e−23  
                 −1.447893e−22 
                 3.550178e−24 
               
               
                 C6 
                  1.047361e−27 
                 −1.832764e−27 
                 −1.680731e−27  
                 −3.175732e−27 
                 6.050767e−28 
               
               
                 C7 
                 −1.013527e−31 
                  1.046373e−31 
                 2.906586e−31 
                  5.176529e−30 
                 4.358568e−31 
               
               
                 C8 
                  4.076124e−36 
                 −1.708389e−36 
                 −5.252329e−35  
                 −1.024665e−33 
                 −4.270946e−35  
               
               
                   
               
             
          
           
               
                 SRF 
                 23 
                 24 
                 28 
                 36 
                 37 
               
               
                   
               
               
                 K 
                 −0.602272 
                 −0.240254 
                 0 
                 0 
                 0 
               
               
                 C1 
                  0.000000e+00 
                 0.000000e+00 
                 −1.628020e−07  
                 2.060497e−08 
                 −7.918942e−08 
               
               
                 C2 
                 −9.110764e−15 
                 3.799619e−15 
                 5.004648e−12 
                 6.206171e−13 
                 −7.390346e−13 
               
               
                 C3 
                 −6.923032e−20 
                 1.050462e−19 
                 1.238115e−16 
                 1.568846e−16 
                  1.677228e−16 
               
               
                 C4 
                 −1.592422e−23 
                 2.407529e−23 
                 1.345805e−20 
                 −1.970417e−20  
                 −6.727857e−21 
               
               
                 C5 
                  8.704660e−28 
                 −2.336605e−27  
                 −5.722714e−24  
                 2.817612e−24 
                  6.703292e−25 
               
               
                 C6 
                 −3.848813e−32 
                 2.089863e−31 
                 7.429779e−28 
                 −2.065939e−28  
                 −1.712552e−29 
               
               
                 C7 
                  8.257231e−37 
                 −8.540536e−36  
                 −5.390293e−32  
                 7.979829e−33 
                 −9.430098e−34 
               
               
                 C8 
                 −7.590177e−42 
                 1.725784e−40 
                 1.988577e−36 
                 −1.039469e−37  
                  4.239222e−38 
               
               
                   
               
             
          
           
               
                 SRF 
                 39 
                 43 
                 46 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
               
               
                 C1 
                  5.160606e−09 
                 −2.788258e−08 
                 −2.365786e−08 
               
               
                 C2 
                 −2.393183e−13 
                  4.064341e−13 
                  3.640299e−12 
               
               
                 C3 
                 −7.204528e−17 
                  2.762083e−17 
                 −1.570433e−16 
               
               
                 C4 
                 −1.517240e−22 
                 −4.172618e−22 
                  6.381899e−21 
               
               
                 C5 
                 −3.032479e−27 
                 −3.754486e−27 
                 −3.770869e−26 
               
               
                 C6 
                  1.227351e−29 
                 −6.324033e−31 
                 −1.116749e−29 
               
               
                 C7 
                 −8.867490e−34 
                  3.185590e−35 
                  6.455153e−34 
               
               
                 C8 
                  2.067251e−38 
                 −4.120762e−40 
                 −1.076920e−38 
               
               
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 35.000000 
                   
                 1.00030168 
                 66.000 
               
               
                  1 
                 ∞ 
                 1.166644 
                   
                 1.00030168 
                 77.003 
               
               
                  2 
                 197.911058 
                 20.674095 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                  3 
                 635.116021 
                 2.894278 
                   
                 1.00029966 
                 90.000 
               
               
                  4 
                 154.515346 
                 52.818599 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                  5 
                 −674.545898 
                 46.213532 
                   
                 1.00029966 
                 95.000 
               
               
                  6 
                 351.508267 
                 12.006164 
                 SIO2V 
                 1.56078570 
                 76.354 
               
               
                  7 
                 −355.431508 
                 1.879459 
                   
                 1.00029966 
                 73.677 
               
               
                  8 
                 137.853261 
                 42.368303 
                 SIO2V 
                 1.56078570 
                 75.000 
               
               
                  9 
                 −168.451126 
                 1.576637 
                   
                 1.00029966 
                 75.000 
               
               
                 10 
                 ∞ 
                 18.000000 
                   
                 1.00029966 
                 36.370 
               
               
                 11 
                 ∞ 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 44.778 
               
               
                 12 
                 ∞ 
                 25.245183 
                   
                 1.00029966 
                 47.596 
               
               
                 13 
                 −69.535170 
                 15.000107 
                 SIO2V 
                 1.56078570 
                 50.000 
               
               
                 14 
                 −125.326320 
                 1.000069 
                   
                 1.00029966 
                 60.000 
               
               
                 15 
                 −178.873389 
                 25.788410 
                 SIO2V 
                 1.56078570 
                 65.000 
               
               
                 16 
                 −101.720844 
                 15.664259 
                   
                 1.00029966 
                 70.000 
               
               
                 17 
                 −199.223616 
                 36.639577 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 18 
                 −102.251112 
                 0.099749 
                   
                 1.00029966 
                 80.000 
               
               
                 19 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 90.389 
               
               
                 20 
                 ∞ 
                 209.622700 
                   
                 1.00029966 
                 92.498 
               
               
                 21 
                 −166.119896 
                 −209.622700 
                 REFL 
                 1.00029966 
                 150.000 
               
               
                 22 
                 175.984040 
                 209.622700 
                 REFL 
                 1.00029966 
                 125.000 
               
               
                 23 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 99.138 
               
               
                 24 
                 ∞ 
                 0.172730 
                   
                 1.00029966 
                 105.283 
               
               
                 25 
                 253.724164 
                 38.159409 
                 SIO2V 
                 1.56078570 
                 110.000 
               
               
                 26 
                 −576.959427 
                 1.129890 
                   
                 1.00029966 
                 110.000 
               
               
                 27 
                 969.471804 
                 12.758546 
                 SIO2V 
                 1.56078570 
                 105.000 
               
               
                 28 
                 349.602989 
                 0.999948 
                   
                 1.00029966 
                 105.000 
               
               
                 29 
                 528.180407 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                 30 
                 121.034243 
                 37.709281 
                   
                 1.00029966 
                 80.000 
               
               
                 31 
                 −511.453381 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 32 
                 144.865830 
                 27.748574 
                   
                 1.00029966 
                 80.000 
               
               
                 33 
                 −2683.436282 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                 34 
                 350.818886 
                 21.231421 
                   
                 1.00029966 
                 90.000 
               
               
                 35 
                 564.353180 
                 43.838798 
                 SIO2V 
                 1.56078570 
                 120.000 
               
               
                 36 
                 −231.828235 
                 17.071926 
                   
                 1.00029966 
                 120.000 
               
               
                 37 
                 −844.682254 
                 27.174378 
                 SIO2V 
                 1.56078570 
                 130.000 
               
               
                 38 
                 −257.084208 
                 13.572085 
                   
                 1.00029966 
                 135.000 
               
               
                 39 
                 −347.360290 
                 79.971864 
                 SIO2V 
                 1.56078570 
                 140.000 
               
               
                 40 
                 −191.420105 
                 1.000000 
                   
                 1.00029966 
                 155.000 
               
               
                 41 
                 638.593875 
                 53.484057 
                 SIO2V 
                 1.56078570 
                 160.000 
               
               
                 42 
                 −617.708478 
                 0.999739 
                   
                 1.00029966 
                 160.000 
               
               
                 43 
                 290.550562 
                 51.321670 
                 SIO2V 
                 1.56078570 
                 150.000 
               
               
                 44 
                 −1239.997337 
                 1.000000 
                   
                 1.00029966 
                 150.000 
               
               
                 45 
                 234.055441 
                 41.191419 
                 SIO2V 
                 1.56078570 
                 125.000 
               
               
                 46 
                 1260.796700 
                 1.000000 
                   
                 1.00029966 
                 125.000 
               
               
                 47 
                 119.116897 
                 46.087832 
                 SIO2V 
                 1.56078570 
                 92.000 
               
               
                 48 
                 410.714306 
                 0.999596 
                   
                 1.00029966 
                 90.000 
               
               
                 49 
                 57.007308 
                 19.999880 
                 SIO2V 
                 1.56078570 
                 52.000 
               
               
                 50 
                 70.000000 
                 24.719485 
                 (F) 
                 1.65000000 
                 48.000 
               
               
                 51 
                 ∞ 
                 3.000000 
                 (F) 
                 1.65000000 
                 34.000 
               
               
                 52 = IM 
                 ∞ 
                   
                   
                   
                 34.000 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
           
               
                 TABLE 2b 
               
               
                   
               
               
                 ASPHERIC CONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 2 
                 5 
                 7 
                 15 
                 17 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −4.272071e−08 
                 −6.660852e−08 
                 4.612425e−07 
                 −1.819217e−07 
                 −2.134272e−08 
               
               
                 C2 
                 −2.130756e−12 
                  5.070507e−12 
                 1.287676e−11 
                 −1.679339e−11 
                  2.642130e−12 
               
               
                 C3 
                 −3.407494e−16 
                 −7.615346e−16 
                 2.169742e−15 
                 −4.541462e−15 
                  3.144530e−16 
               
               
                 C4 
                  4.132704e−20 
                  7.606615e−20 
                 3.202709e−19 
                  1.365731e−18 
                 −1.203833e−19 
               
               
                 C5 
                 −8.614408e−24 
                  5.842474e−24 
                 1.189789e−22 
                 −7.298537e−22 
                  3.777303e−23 
               
               
                 C6 
                  1.402057e−27 
                 −1.689387e−27 
                 −4.328782e−26  
                  1.116111e−25 
                 −6.878338e−27 
               
               
                 C7 
                 −1.320281e−31 
                  1.280496e−31 
                 5.025746e−30 
                  4.239480e−31 
                  6.547727e−31 
               
               
                 C8 
                  6.029685e−36 
                 −3.499149e−36 
                 −2.455352e−34  
                 −2.801453e−33 
                 −2.572158e−35 
               
               
                   
               
               
                 SRF 
                 21 
                 22 
                 28 
                 36 
                 37 
               
               
                   
               
               
                 K 
                 −0.673243 
                 −0.223377 
                 0 
                 0 
                 0 
               
               
                 C1 
                  0.000000e+00 
                 0.000000e+00 
                 −1.742865e−07  
                 −1.146354e−09 
                 −8.904146e−08 
               
               
                 C2 
                 −1.542990e−14 
                 4.242474e−15 
                 3.989651e−12 
                  6.487508e−13 
                 −9.704035e−13 
               
               
                 C3 
                 −2.283008e−19 
                 −1.633115e−19  
                 2.232371e−16 
                  2.106572e−16 
                  1.932349e−16 
               
               
                 C4 
                 −2.701974e−23 
                 7.966751e−23 
                 −2.851297e−20  
                 −1.981895e−20 
                 −9.140962e−21 
               
               
                 C5 
                  1.563798e−27 
                 −8.898817e−27  
                 1.148424e−24 
                  2.432642e−24 
                  7.612481e−25 
               
               
                 C6 
                 −7.092827e−32 
                 6.276885e−31 
                 3.102982e−28 
                 −1.327579e−28 
                 −5.817189e−30 
               
               
                 C7 
                  1.654890e−36 
                 −2.262895e−35  
                 −5.058499e−32  
                  4.126250e−33 
                 −1.250231e−33 
               
               
                 C8 
                 −1.695530e−41 
                 3.532661e−40 
                 3.007511e−36 
                 −3.753435e−38 
                  3.610689e−38 
               
               
                   
               
             
          
           
               
                 SRF 
                 39 
                 43 
                 46 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
               
               
                 C1 
                 6.669745e−09 
                 −3.063876e−08 
                 −3.402805e−08 
               
               
                 C2 
                 1.190421e−13 
                  3.642882e−13 
                  4.126635e−12 
               
               
                 C3 
                 −7.888065e−17  
                  2.784805e−17 
                 −1.931151e−16 
               
               
                 C4 
                 −5.882168e−23  
                 −6.429270e−22 
                  8.149530e−21 
               
               
                 C5 
                 2.413262e−26 
                  8.661549e−27 
                 −7.144438e−26 
               
               
                 C6 
                 8.242901e−30 
                 −8.015685e−31 
                 −1.341671e−29 
               
               
                 C7 
                 −6.256631e−34  
                  2.825051e−35 
                  7.855498e−34 
               
               
                 C8 
                 1.445073e−38 
                 −3.170258e−40 
                 −1.361588e−38 
               
               
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 3a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 35.000000 
                   
                 1.00030168 
                 66.000 
               
               
                  1 
                 ∞ 
                 0.099980 
                   
                 1.00030168 
                 77.003 
               
               
                  2 
                 170.078547 
                 36.468596 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                  3 
                 −599.314872 
                 2.182511 
                   
                 1.00029966 
                 90.000 
               
               
                  4 
                 333.623154 
                 49.026243 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                  5 
                 −5357.879827 
                 17.783452 
                   
                 1.00029966 
                 95.000 
               
               
                  6 
                 524.085081 
                 39.656864 
                 SIO2V 
                 1.56078570 
                 76.354 
               
               
                  7 
                 −372.985082 
                 1.020916 
                   
                 1.00029966 
                 73.677 
               
               
                  8 
                 273.494931 
                 25.000000 
                 SIO2V 
                 1.56078570 
                 75.000 
               
               
                  9 
                 −304.985535 
                 1.000000 
                   
                 1.00029966 
                 75.000 
               
               
                 10 
                 326.223899 
                 32.555959 
                 SIO2V 
                 1.56078570 
                 75.000 
               
               
                 11 
                 −194.836449 
                 18.000006 
                   
                 1.00029966 
                 75.000 
               
               
                 12 
                 ∞ 
                 0.000000 
                   
                 1.00029966 
                 36.370 
               
               
                 13 
                 ∞ 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 44.778 
               
               
                 14 
                 ∞ 
                 24.420303 
                   
                 1.00029966 
                 47.596 
               
               
                 15 
                 −65.482398 
                 15.000019 
                 SIO2V 
                 1.56078570 
                 50.000 
               
               
                 16 
                 −89.830925 
                 12.487606 
                   
                 1.00029966 
                 60.000 
               
               
                 17 
                 −181.375682 
                 17.778805 
                 SIO2V 
                 1.56078570 
                 65.000 
               
               
                 18 
                 −112.069227 
                 1.008243 
                   
                 1.00029966 
                 70.000 
               
               
                 19 
                 −158.283947 
                 37.090377 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 20 
                 −102.436390 
                 0.099969 
                   
                 1.00029966 
                 80.000 
               
               
                 21 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 90.389 
               
               
                 22 
                 ∞ 
                 209.622700 
                   
                 1.00029966 
                 92.498 
               
               
                 23 
                 −166.136319 
                 −209.622700 
                 REFL 
                 1.00029966 
                 150.000 
               
               
                 24 
                 173.615104 
                 209.622700 
                 REFL 
                 1.00029966 
                 125.000 
               
               
                 25 
                 ∞ 
                 40.000000 
                   
                 1.00029966 
                 99.138 
               
               
                 26 
                 ∞ 
                 0.104935 
                   
                 1.00029966 
                 105.283 
               
               
                 27 
                 161.705740 
                 39.665166 
                 SIO2V 
                 1.56078570 
                 110.000 
               
               
                 28 
                 338.219127 
                 4.220151 
                   
                 1.00029966 
                 105.000 
               
               
                 29 
                 539.284856 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 95.000 
               
               
                 30 
                 115.279475 
                 38.192763 
                   
                 1.00029966 
                 80.000 
               
               
                 31 
                 −713.073292 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 80.000 
               
               
                 32 
                 153.450259 
                 25.766812 
                   
                 1.00029966 
                 80.000 
               
               
                 33 
                 −35457.805610 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 90.000 
               
               
                 34 
                 338.447211 
                 22.577058 
                   
                 1.00029966 
                 90.000 
               
               
                 35 
                 488.793543 
                 45.370961 
                 SIO2V 
                 1.56078570 
                 120.000 
               
               
                 36 
                 −229.090765 
                 17.224093 
                   
                 1.00029966 
                 120.000 
               
               
                 37 
                 −813.380443 
                 31.337371 
                 SIO2V 
                 1.56078570 
                 130.000 
               
               
                 38 
                 −255.856356 
                 9.074786 
                   
                 1.00029966 
                 135.000 
               
               
                 39 
                 −397.181958 
                 81.335823 
                 SIO2V 
                 1.56078570 
                 140.000 
               
               
                 40 
                 −197.104943 
                 1.000000 
                   
                 1.00029966 
                 155.000 
               
               
                 41 
                 616.283620 
                 55.915659 
                 SIO2V 
                 1.56078570 
                 160.000 
               
               
                 42 
                 −558.051853 
                 0.999900 
                   
                 1.00029966 
                 160.000 
               
               
                 43 
                 297.754439 
                 48.959126 
                 SIO2V 
                 1.56078570 
                 150.000 
               
               
                 44 
                 −1599.554010 
                 1.000000 
                   
                 1.00029966 
                 150.000 
               
               
                 45 
                 216.813876 
                 43.986900 
                 SIO2V 
                 1.56078570 
                 125.000 
               
               
                 46 
                 2513.355923 
                 1.000000 
                   
                 1.00029966 
                 125.000 
               
               
                 47 
                 102.047705 
                 42.326072 
                 SIO2V 
                 1.56078570 
                 88.000 
               
               
                 48 
                 258.213934 
                 1.000000 
                   
                 1.00029966 
                 85.000 
               
               
                 49 
                 67.045666 
                 10.000000 
                 SIO2V 
                 1.56078570 
                 52.000 
               
               
                 50 
                 33.992537 
                 27.639900 
                 (F) 
                 1.65000000 
                 33.000 
               
               
                 51 
                 ∞ 
                 3.000000 
                   
                 1.80000000 
                 33.000 
               
               
                 52 
                 ∞ 
                 3.000000 
                 (IMMERS.) 
                 1.65000000 
                 33.000 
               
               
                 53 = IM 
                 ∞ 
                   
                   
                   
                 33.000 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
               
               
               
               
             
           
               
                 TABLE 3b 
               
               
                   
               
               
                 ASPHERIC CONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 2 
                 5 
                 7 
                 17 
                 19 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 −6.761238e−08 
                 −1.339952e−07 
                 4.322957e−07 
                 −1.865717e−07 
                 5.694739e−08 
               
               
                 C2 
                 −2.795074e−13 
                  8.081896e−12 
                 6.638487e−12 
                 −2.605817e−11 
                 1.297663e−11 
               
               
                 C3 
                 −3.419978e−16 
                 −1.520519e−15 
                 1.196137e−15 
                 −2.223425e−15 
                 7.551094e−16 
               
               
                 C4 
                  3.593975e−20 
                  1.158356e−19 
                 3.139076e−19 
                  4.529397e−19 
                 −2.801640e−19  
               
               
                 C5 
                 −7.394770e−24 
                  8.165985e−24 
                 −2.103438e−23  
                 −1.036163e−22 
                 −1.293839e−24  
               
               
                 C6 
                  1.067458e−27 
                 −2.018394e−27 
                 −2.540248e−27  
                 −6.085859e−27 
                 7.867948e−28 
               
               
                 C7 
                 −9.043542e−32 
                  1.252003e−31 
                 3.764879e−31 
                  4.354732e−30 
                 4.763906e−31 
               
               
                 C8 
                  3.329797e−36 
                 −2.409824e−36 
                 −5.551249e−35  
                 −7.881442e−34 
                 −4.577122e−35  
               
               
                   
               
             
          
           
               
                 SRF 
                 23 
                 24 
                 28 
                 36 
                 37 
               
               
                   
               
               
                 K 
                 −0.603427 
                 −0.236665 
                 0 
                 0 
                 0 
               
               
                 C1 
                  0.000000e+00 
                 0.000000e+00 
                 −1.724255e−07  
                 1.725752e−08 
                 −8.279489e−08 
               
               
                 C2 
                 −1.058224e−14 
                 3.699741e−15 
                 4.976445e−12 
                 5.471441e−13 
                 −8.022210e−13 
               
               
                 C3 
                 −1.413269e−19 
                 −3.750775e−20  
                 2.387092e−16 
                 1.390990e−16 
                  1.431148e−16 
               
               
                 C4 
                 −1.204112e−23 
                 5.430640e−23 
                 5.525729e−21 
                 −1.755950e−20  
                 −5.767930e−21 
               
               
                 C5 
                  4.963866e−28 
                 −5.801174e−27  
                 −6.052665e−24  
                 2.625696e−24 
                  6.871766e−25 
               
               
                 C6 
                 −2.129066e−32 
                 4.279164e−31 
                 7.725095e−28 
                 −1.914617e−28  
                 −2.240962e−29 
               
               
                 C7 
                  3.795477e−37 
                 −1.574698e−35  
                 −5.045738e−32  
                 7.395971e−33 
                 −3.639715e−34 
               
               
                 C8 
                 −2.918284e−42 
                 2.685481e−40 
                 1.564423e−36 
                 −7.980691e−38  
                  3.135529e−38 
               
               
                   
               
             
          
           
               
                 SRF 
                 39 
                 43 
                 46 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
               
               
                 C1 
                  5.939680e−09 
                 −2.752287e−08 
                 −2.413171e−08 
               
               
                 C2 
                 −2.375134e−13 
                  4.114456e−13 
                  3.695674e−12 
               
               
                 C3 
                 −6.806224e−17 
                  2.737675e−17 
                 −1.621470e−16 
               
               
                 C4 
                 −8.082613e−23 
                 −3.526372e−22 
                  6.681382e−21 
               
               
                 C5 
                 −1.967221e−26 
                 −7.704679e−27 
                 −4.618168e−26 
               
               
                 C6 
                  1.266402e−29 
                 −4.719101e−31 
                 −1.117841e−29 
               
               
                 C7 
                 −8.622711e−34 
                  2.794633e−35 
                  6.554350e−34 
               
               
                 C8 
                  1.902299e−38 
                 −3.716332e−40 
                 −1.099816e−38 
               
               
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 4a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 101.496840 
                   
                   
                 62.000 
               
               
                  1 
                 −523.184936 
                 27.851984 
                 SIO2 
                 1.56032610 
                 96.419 
               
               
                  2 
                 −210.066935 
                 0.999968 
                   
                   
                 99.916 
               
               
                  3 
                 143.399781 
                 52.055602 
                 SIO2 
                 1.56032610 
                 115.102 
               
               
                  4 
                 345.776862 
                 35.383042 
                   
                   
                 110.966 
               
               
                  5 
                 168.075295 
                 52.902563 
                 SIO2 
                 1.56032610 
                 95.593 
               
               
                  6 
                 −581.011371 
                 0.099991 
                   
                   
                 85.017 
               
               
                  7 
                 82.494445 
                 46.014670 
                 SIO2 
                 1.56032610 
                 65.623 
               
               
                  8 
                 74.608756 
                 18.376623 
                   
                   
                 43.366 
               
               
                  9 
                 ∞ 
                 0.000000 
                 SIO2 
                 1.56032610 
                 40.333 
               
               
                 10 
                 ∞ 
                 9.898700 
                   
                   
                 40.333 
               
               
                 11 
                 −93.661632 
                 25.608969 
                 SIO2 
                 1.56032610 
                 40.388 
               
               
                 12 
                 −97.944812 
                 42.548618 
                   
                   
                 50.610 
               
               
                 13 
                 −63.503040 
                 54.172316 
                 SIO2 
                 1.56032610 
                 58.454 
               
               
                 14 
                 −94.409957 
                 1.264244 
                   
                   
                 87.595 
               
               
                 15 
                 −328.877474 
                 40.537580 
                 SIO2 
                 1.56032610 
                 104.907 
               
               
                 16 
                 −131.896136 
                 1.001643 
                   
                   
                 106.846 
               
               
                 17 
                 204.370502 
                 42.653441 
                 SIO2 
                 1.56032610 
                 107.596 
               
               
                 18 
                 −2747.675446 
                 1.723900 
                   
                   
                 105.816 
               
               
                 19 
                 216.208053 
                 27.952948 
                 SIO2 
                 1.56032610 
                 97.813 
               
               
                 20 
                 2712.784924 
                 99.872557 
                   
                   
                 94.335 
               
               
                 21 = FM1 
                 ∞ 
                 −160.545313 
                 REFL 
                   
                 27.154 
               
               
                 22 
                 101.244286 
                 −12.500000 
                 SIO2 
                 1.56032610 
                 72.986 
               
               
                 23 
                 628.850173 
                 −53.212241 
                   
                   
                 88.277 
               
               
                 24 
                 102.805812 
                 −12.500000 
                 SIO2 
                 1.56032610 
                 91.193 
               
               
                 25 
                 200.305727 
                 −25.464217 
                   
                   
                 119.887 
               
               
                 26 
                 150.933505 
                 25.464217 
                 REFL 
                   
                 122.686 
               
               
                 27 
                 200.305727 
                 12.500000 
                 SIO2 
                 1.56032610 
                 119.499 
               
               
                 28 
                 102.805812 
                 53.212241 
                   
                   
                 90.105 
               
               
                 29 
                 628.850173 
                 12.500000 
                 SIO2 
                 1.56032610 
                 85.671 
               
               
                 30 
                 101.244286 
                 160.545353 
                   
                   
                 71.821 
               
               
                 31 = FM2 
                 ∞ 
                 −109.999623 
                 REFL 
                   
                 134.552 
               
               
                 32 
                 862.422907 
                 −30.130833 
                 SIO2 
                 1.56032610 
                 102.165 
               
               
                 33 
                 229.773890 
                 −0.999915 
                   
                   
                 105.942 
               
               
                 34 
                 −617.789022 
                 −35.509195 
                 SIO2 
                 1.56032610 
                 118.697 
               
               
                 35 
                 565.469461 
                 −0.999931 
                   
                   
                 120.255 
               
               
                 36 
                 −246.806971 
                 −44.859593 
                 SIO2 
                 1.56032610 
                 124.965 
               
               
                 37 
                 32400.831779 
                 −0.099930 
                   
                   
                 123.417 
               
               
                 38 
                 −158.610832 
                 −71.070427 
                 SIO2 
                 1.56032610 
                 112.458 
               
               
                 39 
                 −1341.469728 
                 −8.796304 
                   
                   
                 98.473 
               
               
                 40 
                 3541.685396 
                 −11.999956 
                 SIO2 
                 1.56032610 
                 96.987 
               
               
                 41 
                 −126.167849 
                 −44.791303 
                   
                   
                 78.038 
               
               
                 42 
                 469.858200 
                 −11.999957 
                 SIO2 
                 1.56032610 
                 78.204 
               
               
                 43 
                 −108.758112 
                 −27.637030 
                   
                   
                 84.487 
               
               
                 44 
                 −1480.509587 
                 −15.438600 
                 SIO2 
                 1.56032610 
                 86.624 
               
               
                 45 
                 2433.499100 
                 −49.439954 
                   
                   
                 90.710 
               
               
                 46 
                 −1932.185692 
                 −25.660740 
                 SIO2 
                 1.56032610 
                 119.141 
               
               
                 47 
                 428.080551 
                 −0.999961 
                   
                   
                 123.769 
               
               
                 48 
                 −408.475637 
                 −36.662820 
                 SIO2 
                 1.56032610 
                 147.587 
               
               
                 49 
                 −16389.465356 
                 −7.335981 
                   
                   
                 148.838 
               
               
                 50 
                 −342.428932 
                 −60.116835 
                 SIO2 
                 1.56032610 
                 158.305 
               
               
                 51 
                 658.847066 
                 −0.091541 
                   
                   
                 157.731 
               
               
                 52 
                 ∞ 
                 0.000000 
                 SIO2 
                 1.56032610 
                 156.315 
               
               
                 53 
                 ∞ 
                 −2.670708 
                   
                   
                 156.315 
               
               
                 54 
                 −702.444090 
                 −32.792626 
                 SIO2 
                 1.56032610 
                 155.963 
               
               
                 55 
                 1222.808780 
                 −0.999915 
                   
                   
                 155.470 
               
               
                 56 
                 −309.712976 
                 −41.860232 
                 SIO2 
                 1.56032610 
                 144.999 
               
               
                 57 
                 3694.385507 
                 −0.999819 
                   
                   
                 144.012 
               
               
                 58 
                 −135.513673 
                 −31.965622 
                 SIO2 
                 1.56032610 
                 109.063 
               
               
                 59 
                 −185.513505 
                 −0.999775 
                   
                   
                 103.967 
               
               
                 60 
                 −88.090936 
                 −38.540831 
                 SIO2 
                 1.56032610 
                 80.707 
               
               
                 61 
                 −187.712668 
                 −0.999577 
                   
                   
                 73.736 
               
               
                 62 
                 −58.692832 
                 −9.999803 
                 SIO2 
                 1.56032610 
                 51.770 
               
               
                 63 
                 −33.167937 
                 −38.114503 
                 (F) 
                 1.65000000 
                 33.117 
               
               
                 64 
                 ∞ 
                 −3.000000 
                 (F) 
                 1.65000000 
                 20.048 
               
               
                 65 = IM 
                 ∞ 
                   
                   
                   
                 15.841 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 4b 
               
               
                   
               
               
                 ASPHERIC CONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 6 
                 15 
                 20 
                 22 
                 30 
                 39 
                 41 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 1.190289e−07 
                 −1.976769e−08 
                 4.403358e−08 
                 −6.572731e−08 
                 −6.572731e−08 
                 1.699431e−08 
                 −2.143897e−07 
               
               
                 C2 
                 −2.160947e−12  
                  1.109889e−12 
                 8.071972e−17 
                 −4.743844e−12 
                 −4.743844e−12 
                 −9.046901e−12  
                  2.732198e−12 
               
               
                 C3 
                 6.852608e−16 
                 −3.889116e−17 
                 3.366541e−18 
                 −9.012440e−18 
                 −9.012440e−18 
                 1.128480e−15 
                 −1.371285e−15 
               
               
                 C4 
                 −3.837379e−20  
                 −1.882901e−21 
                 5.100729e−22 
                 −1.597994e−19 
                 −1.597994e−19 
                 −9.595855e−20  
                 −1.137997e−19 
               
               
                 C5 
                 1.217764e−25 
                  1.332477e−25 
                 −4.259657e−26  
                  2.141145e−23 
                  2.141145e−23 
                 5.011204e−24 
                  2.693954e−23 
               
               
                 C6 
                 2.211313e−28 
                 −2.258521e−30 
                 2.686157e−30 
                 −2.250289e−27 
                 −2.250289e−27 
                 −1.196219e−28  
                 −3.312568e−27 
               
               
                   
               
             
          
           
               
                   
                 SRF 
                 43 
                 46 
                 51 
                 59 
                 61 
               
               
                   
                   
               
               
                   
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                   
                 C1 
                 2.168103e−07 
                 3.156834e−08 
                 −7.013045e−09  
                 4.429013e−08 
                 −9.119846e−08 
               
               
                   
                 C2 
                 1.367067e−12 
                 3.487654e−13 
                 5.963914e−16 
                 −4.664097e−12  
                 −9.933832e−12 
               
               
                   
                 C3 
                 3.062347e−16 
                 −1.560492e−17  
                 −1.630073e−17  
                 3.978191e−16 
                  4.577490e−16 
               
               
                   
                 C4 
                 5.350290e−20 
                 1.140928e−21 
                 5.396066e−22 
                 −1.307434e−20  
                 −2.618132e−19 
               
               
                   
                 C5 
                 −4.811379e−24  
                 −4.815997e−26  
                 −7.602819e−27  
                 −5.651715e−25  
                  5.019446e−23 
               
               
                   
                 C6 
                 4.970104e−28 
                 5.836063e−31 
                 4.085943e−32 
                 3.529575e−29 
                 −5.414482e−27 
               
               
                   
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 5a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 31.284792 
                   
                   
                 52.000 
               
               
                  1 
                 194.413567 
                 32.720399 
                 SIO2V 
                 1.56078570 
                 74.615 
               
               
                  2 
                 −837.875926 
                 6.370734 
                   
                   
                 74.349 
               
               
                  3 
                 95.475130 
                 26.728836 
                 SIO2V 
                 1.56078570 
                 70.388 
               
               
                  4 
                 148.726918 
                 30.489652 
                   
                   
                 65.856 
               
               
                  5 
                 1084.901978 
                 14.117445 
                 SIO2V 
                 1.56078570 
                 60.419 
               
               
                  6 
                 −329.264238 
                 0.743287 
                   
                   
                 58.910 
               
               
                  7 
                 372.368293 
                 15.458004 
                 SIO2V 
                 1.56078570 
                 54.832 
               
               
                  8 
                 −148.979042 
                 27.240305 
                   
                   
                 52.113 
               
               
                  9 
                 ∞ 
                 32.301644 
                   
                   
                 43.951 
               
               
                 10 
                 −57.723183 
                 31.449460 
                 SIO2V 
                 1.56078570 
                 47.695 
               
               
                 11 
                 −71.150453 
                 0.929754 
                   
                   
                 62.740 
               
               
                 12 
                 383.639393 
                 22.046149 
                 SIO2V 
                 1.56078570 
                 83.185 
               
               
                 13 
                 −904.695268 
                 0.905975 
                   
                   
                 84.675 
               
               
                 14 
                 179.698033 
                 38.448563 
                 SIO2V 
                 1.56078570 
                 90.818 
               
               
                 15 
                 −389.247961 
                 29.862111 
                   
                   
                 90.050 
               
               
                 16 
                 ∞ 
                 258.234067 
                   
                   
                 85.109 
               
               
                 17 
                 −151.387947 
                 −258.234067 
                 REFL 
                   
                 103.744 
               
               
                 18 
                 258.267631 
                 258.234067 
                 REFL 
                   
                 180.342 
               
               
                 19 
                 ∞ 
                 29.981280 
                   
                   
                 116.992 
               
               
                 20 
                 251.052546 
                 31.241091 
                 SIO2V 
                 1.56078570 
                 101.576 
               
               
                 21 
                 −6016.827917 
                 77.406555 
                   
                   
                 98.554 
               
               
                 22 
                 −125.618112 
                 8.960662 
                 SIO2V 
                 1.56078570 
                 70.289 
               
               
                 23 
                 129.125754 
                 28.406854 
                   
                   
                 68.882 
               
               
                 24 
                 −681.780853 
                 8.898731 
                 SIO2V 
                 1.56078570 
                 70.634 
               
               
                 25 
                 205.568565 
                 41.577461 
                   
                   
                 78.503 
               
               
                 26 
                 −183.215344 
                 15.843375 
                 SIO2V 
                 1.56078570 
                 82.563 
               
               
                 27 
                 −747.008350 
                 6.201177 
                   
                   
                 102.654 
               
               
                 28 
                 1186.195936 
                 72.658205 
                 SIO2V 
                 1.56078570 
                 120.160 
               
               
                 29 
                 −156.971444 
                 0.905847 
                   
                   
                 126.492 
               
               
                 30 
                 648.451941 
                 66.013805 
                 SIO2V 
                 1.56078570 
                 163.810 
               
               
                 31 
                 −396.824326 
                 25.988117 
                   
                   
                 165.175 
               
               
                 32 
                 289.870283 
                 40.412480 
                 SIO2V 
                 1.56078570 
                 163.677 
               
               
                 33 
                 480.887470 
                 0.928925 
                   
                   
                 161.538 
               
               
                 34 
                 178.362272 
                 40.967739 
                 SIO2V 
                 1.56078570 
                 144.125 
               
               
                 35 
                 253.519298 
                 0.947294 
                   
                   
                 138.643 
               
               
                 36 
                 154.855021 
                 52.211656 
                 SIO2V 
                 1.56078570 
                 125.560 
               
               
                 37 
                 522.613285 
                 0.825571 
                   
                   
                 119.129 
               
               
                 38 
                 100.582695 
                 44.936735 
                 SIO2V 
                 1.56078570 
                 88.620 
               
               
                 39 
                 272.608820 
                 0.825571 
                   
                   
                 79.210 
               
               
                 40 
                 58.829925 
                 8.861393 
                 SIO2V 
                 1.56078570 
                 52.876 
               
               
                 41 
                 37.856352 
                 45.769132 
                 (F) 
                 1.80000000 
                 37.564 
               
               
                 42 = IM 
                 ∞ 
                   
                   
                   
                 13.001 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 5b 
               
               
                   
               
               
                 ASPHERIC CONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 1 
                 5 
                 8 
                 15 
                 17 
                 18 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
                 −0.267731 
               
               
                 C1 
                 2.035368e−07 
                 1.161173e−07 
                 6.549025e−07 
                 1.058964e−07 
                 1.486128e−08 
                 −7.023674e−10 
               
               
                 C2 
                 2.122045e−13 
                 −9.174854e−11  
                 1.133907e−11 
                 −1.960464e−12  
                 6.224903e−13 
                 −9.477643e−15 
               
               
                 C3 
                 −1.232124e−15  
                 9.078126e−15 
                 2.931708e−14 
                 −1.719346e−16  
                 1.675590e−17 
                 −7.423466e−20 
               
               
                 C4 
                 6.485869e−20 
                 −1.260952e−18  
                 −8.285156e−18  
                 2.217335e−20 
                 1.269177e−21 
                 −4.429195e−24 
               
               
                 C5 
                 9.917577e−24 
                 2.019305e−22 
                 3.500031e−21 
                 −1.159319e−24  
                 −5.260128e−26  
                  4.705745e−29 
               
               
                 C6 
                 −9.582163e−28  
                 −7.811919e−27  
                 3.522430e−26 
                 2.527662e−29 
                 4.654328e−30 
                 −1.008977e−33 
               
               
                   
               
             
          
           
               
                 SRF 
                 22 
                 25 
                 28 
                 33 
                 37 
                 39 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 4.605486e−07 
                 2.881794e−07 
                 −3.576109e−08 
                 −1.085274e−08 
                 2.842058e−08 
                 1.106769e−07 
               
               
                 C2 
                 −7.227058e−11  
                 −4.494181e−11  
                  8.140963e−13 
                  1.115172e−13 
                 −9.189727e−15  
                 2.940296e−12 
               
               
                 C3 
                 1.056869e−14 
                 −2.448411e−15  
                 −3.935804e−17 
                 −9.843842e−18 
                 7.067187e−17 
                 −8.536341e−17  
               
               
                 C4 
                 −1.243813e−18  
                 9.621332e−19 
                 −7.624420e−22 
                 −1.420093e−22 
                 −5.862923e−21  
                 4.590349e−20 
               
               
                 C5 
                 1.098424e−22 
                 −9.474976e−23  
                  1.473104e−25 
                  1.350399e−26 
                 2.902121e−25 
                 −8.754730e−24  
               
               
                 C6 
                 −3.554283e−27  
                 3.735014e−27 
                 −5.284140e−30 
                 −1.682167e−31 
                 −4.976330e−30  
                 5.665333e−28 
               
               
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 6a 
               
               
                   
               
               
                 SURF 
                 RADIUS 
                 THICKNESS 
                 MATERIAL 
                 INDEX 
                 SEMIDIAM. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                  0 = OB 
                 ∞ 
                 31.284792 
                   
                   
                 52.000 
               
               
                  1 
                 ∞ 
                 0.000000 
                   
                   
                 65.651 
               
               
                  2 
                 193.599182 
                 32.235664 
                 SIO2V 
                 1.56078570 
                 74.583 
               
               
                  3 
                 −988.153919 
                 6.121005 
                   
                   
                 74.317 
               
               
                  4 
                 95.312730 
                 28.437060 
                 SIO2V 
                 1.56078570 
                 70.720 
               
               
                  5 
                 149.958061 
                 29.337945 
                   
                   
                 65.762 
               
               
                  6 
                 990.600274 
                 14.692793 
                 SIO2V 
                 1.56078570 
                 60.664 
               
               
                  7 
                 −304.549723 
                 0.925424 
                   
                   
                 59.160 
               
               
                  8 
                 405.862783 
                 15.231330 
                 SIO2V 
                 1.56078570 
                 54.862 
               
               
                  9 
                 −150.695673 
                 27.371286 
                   
                   
                 52.107 
               
               
                 10 
                 ∞ 
                 32.082969 
                   
                   
                 43.913 
               
               
                 11 
                 −57.761263 
                 34.954745 
                 SIO2V 
                 1.56078570 
                 47.628 
               
               
                 12 
                 −73.049428 
                 0.946034 
                   
                   
                 64.468 
               
               
                 13 
                 371.078196 
                 22.631363 
                 SIO2V 
                 1.56078570 
                 85.710 
               
               
                 14 
                 −1054.171246 
                 2.527973 
                   
                   
                 87.142 
               
               
                 15 
                 176.905790 
                 40.262309 
                 SIO2V 
                 1.56078570 
                 93.860 
               
               
                 16 
                 −409.710820 
                 29.670881 
                   
                   
                 92.937 
               
               
                 17 
                 ∞ 
                 262.083723 
                   
                   
                 87.656 
               
               
                 18 
                 −152.961072 
                 −262.083723 
                 REFL 
                   
                 102.730 
               
               
                 19 
                 259.893027 
                 262.083723 
                 REFL 
                   
                 180.288 
               
               
                 20 
                 ∞ 
                 40.275992 
                   
                   
                 112.284 
               
               
                 21 
                 277.112135 
                 28.048210 
                 SIO2V 
                 1.56078570 
                 94.722 
               
               
                 22 
                 −1786.674721 
                 65.923060 
                   
                   
                 91.958 
               
               
                 23 
                 −115.766876 
                 9.003310 
                 SIO2V 
                 1.56078570 
                 70.538 
               
               
                 24 
                 143.904953 
                 28.199458 
                   
                   
                 69.827 
               
               
                 25 
                 −500.404643 
                 8.993973 
                 SIO2V 
                 1.56078570 
                 71.476 
               
               
                 26 
                 231.435891 
                 40.923491 
                   
                   
                 79.540 
               
               
                 27 
                 −194.421161 
                 14.041869 
                 SIO2V 
                 1.56078570 
                 83.835 
               
               
                 28 
                 −929.354406 
                 6.572149 
                   
                   
                 102.684 
               
               
                 29 
                 1551.636561 
                 74.150055 
                 SIO2V 
                 1.56078570 
                 118.556 
               
               
                 30 
                 −151.390217 
                 0.924156 
                   
                   
                 124.858 
               
               
                 31 
                 430.573439 
                 62.728287 
                 SIO2V 
                 1.56078570 
                 165.041 
               
               
                 32 
                 −668.844997 
                 23.423849 
                   
                   
                 165.694 
               
               
                 33 
                 303.567518 
                 38.823785 
                 SIO2V 
                 1.56078570 
                 163.062 
               
               
                 34 
                 524.212908 
                 0.932060 
                   
                   
                 160.960 
               
               
                 35 
                 176.353964 
                 40.731123 
                 SIO2V 
                 1.56078570 
                 143.422 
               
               
                 36 
                 247.491117 
                 0.936510 
                   
                   
                 137.926 
               
               
                 37 
                 153.122143 
                 51.077607 
                 SIO2V 
                 1.56078570 
                 124.946 
               
               
                 38 
                 412.041144 
                 0.825571 
                   
                   
                 118.371 
               
               
                 39 
                 101.547710 
                 45.611823 
                 SIO2V 
                 1.56078570 
                 89.393 
               
               
                 40 
                 315.478434 
                 0.825571 
                   
                   
                 80.057 
               
               
                 41 
                 58.429322 
                 8.969645 
                 SIO2V 
                 1.56078570 
                 53.083 
               
               
                 42 
                 38.144755 
                 40.197998 
                 (F) 
                 1.80000000 
                 37.922 
               
               
                 43 
                 ∞ 
                 3.000000 
                 SAPHIR 
                 1.92650829 
                 25.925 
               
               
                 44 
                 ∞ 
                 4.345594 
                 (IMMERS.) 
                 1.80000000 
                 21.446 
               
               
                 45 = IM 
                 ∞ 
                   
                   
                   
                 13.000 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 6b 
               
               
                   
               
               
                 ASPHERIC CONSTANTS 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 SRF 
                 2 
                 6 
                 9 
                 16 
                 18 
                 19 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
                 −0.273225 
               
               
                 C1 
                 1.958847e−07 
                 1.048404e−07 
                 6.380918e−07 
                 1.042335e−07 
                 1.494444e−08 
                 −4.825071e−10 
               
               
                 C2 
                 8.684629e−13 
                 −9.344654e−11  
                 1.135337e−11 
                 −1.647926e−12  
                 6.329335e−13 
                 −6.621967e−15 
               
               
                 C3 
                 −1.177298e−15  
                 9.684195e−15 
                 2.969291e−14 
                 −1.770077e−16  
                 1.568829e−17 
                 −6.600515e−20 
               
               
                 C4 
                 5.172091e−20 
                 −1.242151e−18  
                 −8.230472e−18  
                 1.938739e−20 
                 1.153993e−21 
                 −4.043335e−24 
               
               
                 C5 
                 1.115087e−23 
                 1.848517e−22 
                 3.507973e−21 
                 −8.862178e−25  
                 −3.871456e−26  
                  4.835743e−29 
               
               
                 C6 
                 −9.813899e−28  
                 −8.222149e−27  
                 3.205808e−26 
                 1.726247e−29 
                 3.672792e−30 
                 −1.092461e−33 
               
               
                   
               
             
          
           
               
                 SRF 
                 23 
                 26 
                 29 
                 34 
                 38 
                 40 
               
               
                   
               
               
                 K 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 C1 
                 5.116169e−07 
                 3.252068e−07 
                 −2.515552e−08 
                 −1.130904e−08 
                 2.336279e−08 
                 1.464967e−07 
               
               
                 C2 
                 −7.631783e−11  
                 −4.649504e−11  
                  1.947845e−13 
                  2.463683e−13 
                 −1.224680e−12  
                 1.974044e−12 
               
               
                 C3 
                 1.115383e−14 
                 −2.574578e−15  
                 −1.814191e−17 
                 −1.101814e−17 
                 1.869425e−16 
                 −4.637058e−16  
               
               
                 C4 
                 −1.308686e−18  
                 1.022883e−18 
                 −1.328934e−21 
                 −2.972090e−22 
                 −1.001651e−20  
                 1.216769e−19 
               
               
                 C5 
                 1.177910e−22 
                 −9.907368e−23  
                  1.639600e−25 
                  1.942591e−26 
                 3.399061e−25 
                 −1.544405e−23  
               
               
                 C6 
                 −3.908759e−27  
                 3.745941e−27 
                 −5.808419e−30 
                 −2.321607e−31 
                 −4.264065e−30  
                 7.169909e−28