Abstract:
Projection optical systems are provided for use in an exposure apparatus that have a numerical aperture greater than 0.63, a reduced field curvature of pupil at the aperture stop and are able to maintain imaging performance. Further, the present invention avoids degradation in the imaging performance when the numerical aperture is changed.

Description:
FIELD OF THE INVENTION 
     The present invention relates to a projection optical system for projecting a pattern on a first object onto a second object. More particularly, the invention concerns a projection optical system for use in a lithographic system for projecting a pattern formed on a reticle (or mask) onto a substrate (e.g., silicon wafer, glass plate, etc.). 
     BACKGROUND OF THE INVENTION 
     As the resolution for integrated circuit patterns increases, higher performance is being demanded of projection optical systems that are used to project an image from a reticle or mask onto a semiconductor wafer or substrate. In current projection optical systems, in order to meet such demands, the resolving power of the projection optical system can conceivably be improved by increasing the numerical aperture (NA) of the projection optical system. In addition, such optical systems are normally double telecentric to avoid magnification errors and have the capability to vary the numerical aperture to obtain the appropriate conditions for imaging the integrated circuit patterns. 
     Referring to FIG. 1A, one problem associated with current projection optical systems is the existence of a certain amount of field curvature of pupil at the pupil location. This occurs because a mechanical aperture stop is in a plane, and when the numerical aperture is changed, phenomena such as asymmetrical vignetting occurs. As seen in FIG. 1A, a projection optical system may be broken down into two parts, one part on a first object side of the aperture stop having a first Petzval sum (ptz( 1 )), and another part on a second object side of the aperture stop having a second Petzval sum (ptz( 2 )). Referring to FIG. 1B, when the NA is decreased, asymmetrical vignetting occurs, resulting in a degradation of the imaging performance of the projection optical system. Phenomena such as asymmetrical vignetting cause degradation in the imaging performance of the projection optical system as a whole. Due to the current resolution limits required in projection optical systems, these degradations could be ignored. However, as systems seek to improve resolution and utilize projection optical systems having a higher NA (e.g., NA&gt;0.63), field curvature of pupil at the aperture stop and other asymmetrical phenomena present a much more serious problem and cannot be ignored. 
     Therefore, what is needed are projection optical systems having high numerical apertures and minimum field curvature of pupil in the aperture stop plane. 
     SUMMARY OF THE INVENTION 
     The present invention overcomes the above and other problems associated with prior art projection optical systems. More specifically, the present invention reduces the field curvature of pupil in the aperture stop plane while maintaining imaging performance. Further, the present invention avoids degradation in the imaging performance when the numerical aperture is changed. 
     One embodiment of the present invention which achieves the above and other objects of the present invention includes a projection optical system having a numerical aperture of 0.63 or greater and satisfies the following conditions: 
     
       
         −0.000005 &lt;PTZ ( 1 )+ PTZ ( 2 )&lt;0.000005  (1) 
       
     
     
       
         −0.005&lt; PTZ ( 1 )&lt;0.005  (2) 
       
     
     where, 
     PTZ( 1 ) is the amount of Petzval sum between first object and the aperture stop; and 
     PTZ( 2 ) is the amount of Petzval sum between the aperture stop and the second object. 
     The projection optical system according to the present invention can be utilized with various exposure systems that perform a one-shot exposure method, such as the step and repeat exposure systems, or with systems which perform a scanning exposure method. 
     An exposure apparatus utilizing the projection optical system of the present invention includes a first stage capable of holding a wafer with a photosensitive substrate on the main surface thereof. A second stage is included for holding a mask thereon. An illumination optical system is provided for illuminating a pattern on the mask to form an image. A projection optical system is disposed between the mask and the substrate to project the image formed by the illumination system onto the substrate. 
     A projection optical system in accordance with the present invention for use in the above-mentioned exposure apparatus includes, from the reticle side thereof, 
     a first lens group having a positive refractive power, 
     a second lens group having a negative refractive power, 
     a third lens group having a positive refractive power, 
     a fourth lens group having a negative refractive power, 
     a fifth lens group having a positive refractive power and an 
     aperture stop placed within the fifth lens group. 
     These and other advantages of the present invention will become more apparent upon a reading of the detailed description of the preferred embodiments which follows, when considered in conjunction with the drawings of which the following is a brief description. It should be clear that the drawings are merely illustrative of the currently preferred embodiments of the present invention, and that the invention is in no way limited to the illustrated embodiments. The present invention is best defined by the claims appended to this specification. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The accompanying drawings incorporated in and forming a part of the specification, illustrate the present invention, and together with the detailed description below serve to explain the principles of the invention. In the drawings: 
     FIG. 1A is a schematic drawing of a conventional double telecentric projection optical system having field curvature of pupil at the pupil; 
     FIG. 1B illustrates asymmetrical vignetting for a small numerical aperture; 
     FIG. 2 is a simplified schematic drawing of a projection exposure system incorporating a projection optical system according to one embodiment of the present invention; 
     FIG. 3 is a side view of a projection lens system according to one embodiment of the present invention; 
     FIG. 4 is a side view of a projection lens system according to a second embodiment of the present invention; 
     FIG. 5 is a graphical representation of the spherical aberration associated with the projection optical system of FIG. 3; 
     FIG. 6 is a graphical representation of astigmatic field curves associated with the projection optical system of FIG. 3; 
     FIG. 7 is a graphical representation of distortion associated with the projection optical system of FIG. 3; 
     FIG. 8 is a graphical representation of lateral aberration associated with the projection optical system of FIG. 3; 
     FIG. 9 is a graphical representation of the spherical aberration associated with the projection optical system of FIG. 4; 
     FIG. 10 is a graphical representation of astigmatic field curves associated with the projection optical system of FIG. 4; 
     FIG. 11 is a graphical representation of distortion associated with the projection optical system of FIG. 4; 
     FIG. 12 is a graphical representation of lateral aberration associated with the projection optical system of FIG. 4; 
     FIG. 13 is a ray tracing of the projection optical system of FIG. 3; and 
     FIG. 14 is a ray tracing of the projection optical system of FIG.  4 . 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The following detailed description is of the presently preferred embodiments of the present invention. It is to be understood that while the detailed description is provided in conjunction with FIGS. 2-14 briefly described above, the invention is not limited to the illustrated embodiments. In the detailed description, like reference numbers refer to like elements. 
     Referring now to the Figures, the several embodiments of the present invention will now be described. According to standard practice in the optical art, drawings of optical lens systems, such as those shown in certain of the Figures, have the object space, defined as all the space from the first element or surface of a system towards the object and beyond, on the left in the drawing. Similarly, the image space, defined as all the space from the last element or surface of a system towards the image and beyond, is on the right in the drawing. 
     Referring to FIG. 2, an illumination system IS includes a suitable source of illumination, for example an excimer laser that uniformly illuminates a reticle R having formed thereon a pattern to be projected. Any suitable source of illumination may be utilized with the present invention, including but not limited to KrF or ArF laser sources and i-line illumination sources from a high-pressure mercury arc lamp. The reticle R is supported on a reticle stage RS. A wafer W onto which the pattern on the reticle is to be projected is supported and positioned by a wafer stage WS. Those skilled in the lithographic art will be familiar with reticle and wafer stages. 
     As can be seen in FIG. 2, a projection optical system PL is disposed between the reticle R and the wafer W and is contained within a lens barrel LB. The lens barrel LB may be provided with a flange FL to support the lens barrel LB in an appropriate position on a lens support structure CA. The light from the illumination system IS illuminates the reticle R and then enters the projection optical system PL. The image of the light source, which is in the illumination system IS, is formed at the pupil position (i.e., the position of the mechanical aperture stop AS), of the projection optical system PL. That is, the illumination system IS uniformly illuminates the reticle R under Koehler illumination. The projection optical system PL forms an image of the pattern on the reticle R on this wafer W. Thus, for example, if a circuit pattern is provided on the reticle R, this pattern is transferred onto the wafer W on the wafer stage WS. The mechanical aperture stop AS is constructed so as to change the diameter of itself. 
     The projection optical system PL of FIG. 2 may include the projection lens systems shown in FIGS. 3 and 4. The projection lens systems shown in FIGS. 3 and 4 are structured in such a way to satisfy at least the following conditions: 
     
       
         −0.000005&lt; PTZ ( 1 ) +PTZ ( 2 )&lt;0.000005  (1) 
       
     
     
       
         −0.005 &lt;PTZ ( 1 )&lt;0.005  (2) 
       
     
     where, PTZ( 1 ) is the Petzval sum of the projection optical system between a first object such as the reticle R and the aperture stop AS of the projection optical system PL; and PTZ( 2 ) is the Petzval sum of the projection optical system between the aperture stop AS and the second object such as the wafer W. 
     Condition (1) above is provided in order to insure that the image plane of the projection optical system is flat. This condition determines the ability of the projection optical system to produce a flat image plane. It is not desirable to go below the lower limit provided for condition (1) because the image plane of the projection optical system will become curved in a direction away from the first object (e.g. the reticle) at the corners of the imaging field. In addition, if the upper limit of condition (1) is exceeded, the image plane of the projection optical system will be curved in a direction toward the first object at the corners of imaging field. 
     Condition (2) is provided in order to insure that the pupil plane of the projection optical system is maintained flat. Thus, it is not desirable to go below the lower limit of condition (2) because the pupil plane will be curved toward the second object (e.g. the wafer W) at the edges of the pupil. It is not desirable to exceed the upper limit of condition (2) because the pupil plane will be curved toward the first object (e.g. the reticle R) at edges of the pupil. In addition, if the upper or lower limit of condition (2) is exceeded, when the numerical aperture (NA) is changed by changing the diameter of the mechanical aperture stop AS, phenomena such as asymmetrical vignetting will occur. 
     In a preferred embodiment of the present invention, the projection lens system illustrated in FIG. 3 will also satisfy the following conditions: 
     
       
         0.10 &lt;f   1 / L&lt; 0.25;  (3) 
       
     
     
       
         −0.09 &lt;f   2   /L &lt;−0.03  (4) 
       
     
     
       
         0.05 &lt;f   3 / L&lt; 0.20;  (5) 
       
     
     
       
         −0.10 &lt;f   4 / L&lt; −0.02;  (6) 
       
     
     and 
     
       
         0.05 &lt;f   5 / L&lt; 0.20,  (7) 
       
     
     where, 
     f 1  is the focal length of the first lens group G 1 , 
     f 2  is the focal length of the second lens group G 2 , 
     f 3  is the focal length of the third lens group G 3 , 
     f 4  is the focal length of the fourth lens group G 4 , 
     f 5  is the focal length of the fifth lens group G 5 , and 
     L is the distance between object and image (i.e., the distance from the first object (e.g., reticle R) to the second object (e.g., wafer W)). 
     The above condition (3) is provided in order to determine the range of optical focal length of the first lens group G 1  which has a positive refractive power. When outside the lower limit of condition (3), it becomes difficult to correct spherical aberration of the pupil. When the upper limit of condition (3) is exceeded, the correction of negative distortion becomes difficult. 
     Condition (4) determines the range of the optical focal length of the second lens group G 2  which has a negative refractive power. When the upper limit of condition (4) is exceeded, it becomes difficult to correct for negative distortion. When the lower limit of condition (4) is exceeded, the reduction of the Petzval sum and the reduction of the total length of the projection optical system will become difficult. 
     Condition (5) determines the range of the optical focal length of the third lens group G 3  which has a positive refractive power. When the upper limit of condition (5) is exceeded, the refractive power of the second or fourth lens group becomes weak, thus making the reduction of the total length and diameter of the lens system difficult. When the lower limit of condition (5) is exceeded, correction of coma aberration and distortion becomes difficult. 
     Condition (6) determines the range of the optical focal length of the fourth lens group G 4  which has a negative refractive power. When the upper limit of condition (6) is exceeded, the correction of negative distortion becomes difficult. When the lower limit is exceeded, it becomes difficult to reduce the Petzval sum or reduce the total length of the projection optical system. It is desirable to reduce the Petzval sum in order to reduce the curvature of the image. It is desirable to reduce the total length of the projection optical system in order to reduce the weight of the system and to simplify the structure needed to support the projection optical system. It is desirable to reduce the maximum diameter of the lens elements in order to reduce the size of the lens barrel required to hold the lens elements. 
     Condition (7) determines the range of the optical focal length of the fifth lens group G 5  which has a positive refractive power. When the upper limit of this condition is exceeded, the refractive power of the fifth lens group becomes too weak, resulting in an inevitable weakening of the refractive power of the fourth lens group. This makes it difficult to keep the Petzval sum small. When the lower limit of this condition is exceeded, correction of spherical aberration becomes difficult. 
     It is desirable for the projection optical system PL of this embodiment to have an aperture stop located in the fifth lens group. For example, if the aperture stop is located in the fourth lens group, the positive power of the fifth lens group would have to be reduced. As such, the maximum diameter of the fifth lens group would have to be larger. Since manufacturing capabilities and other concerns limit the maximum diameter of the lenses, it is preferable to avoid increasing the diameter of the lens elements. Placing the aperture stop within the fifth lens group assists in achieving this objective. If the aperture stop is located in the first, second or third lens group, it becomes difficult to satisfy conditions 3-7 above and to obtain a compact lens system. 
     Following is the explanation regarding structure of the projection optical system according to the embodiment based on data, referring to FIGS. 3 and 4. FIGS. 3 and 4 are diagrams showing lens structure of first and second embodiments respectively. Each of the embodiments shown in FIGS. 3 and 4 has, in order from the reticle R (or first object side) to the wafer W (or second object side), a first lens group G 1  having a positive refractive power, a second lens group G 2  having a negative refractive power, a third lens group G 3  having a positive refractive power, a fourth lens group G 4  having a negative refractive power, and a fifth lens group G 5  having a positive refractive power. In the projection optical system according to the first and second embodiments, the first object side (reticle R side) and the second object side (wafer W side) are substantially telecentric, where a reduced image of the first object is transferred onto the second object. 
     Referring to the first embodiment of the projection optical system illustrated in FIG. 3, the first lens group G 1  is comprised of, in order from the first object side, a double convex lens L 11 , a double convex lens L 12  and a double convex lens L 13 . 
     The second lens group G 2  is comprised of, in order from the first object side, a negative meniscus lens L 21  with a concave surface directed to the second object side, a negative meniscus lens L 22  with a concave surface directed to the second object side, a double concave lens L 23 , a double concave lens L 24  and a negative meniscus lens L 25  with a concave surface directed to the first object side. 
     The third lens group G 3  is comprised of, in order from the first object side, a positive meniscus lens L 31  with a convex surface directed to the second object side, a positive meniscus lens L 32  with a convex surface directed to the second object side, a positive meniscus lens L 33  with a convex surface directed to the second object side, a double convex lens L 34  and a positive meniscus lens L 35  with a convex surface directed to the first object side. 
     The fourth lens group G 4  is comprised of, in order from the first object side, a negative meniscus lens L 41  with a concave surface directed to the second object side, a double concave lens L 42  and a double concave lens L 43 . 
     The fifth lens group G 5  is comprised of, in order from the first object side, a positive meniscus lens L 51  with a convex surface directed to the second object side, a double convex lens L 52 , the aperture stop, a double convex lens L 53 , a negative meniscus lens L 54  with a concave surface directed to the first object side, a double convex lens L 55 , a positive meniscus lens L 56  with a convex surface directed to the first object side, a positive meniscus lens L 57  with a convex surface directed to the first object side, a negative meniscus lens L 58  with a concave surface directed to the second object side and a positive meniscus lens L 59  with a convex surface directed to the first object side. 
     As those skilled in the art will appreciate, Table 1 below provides the lens prescription for the embodiment of the projection optical system illustrated in FIG.  3 . The numbers in the left end column indicate the order of optical surfaces from the object (reticle) side to the image (wafer) side. The value r is the radius of curvature (millimeters) of the lens surface (a positive radius of curvature indicates that the center of curvature is towards the right or image side and a negative radius of curvature indicates that the center of curvature is towards the left or reticle side). The value d is the axial distance (millimeters) to the next lens surface. In this embodiment, the distance L between the object and the image (the distance between the object surface to the image surface along the optical axis) is 1194.493 mm. The image side numerical aperture is 0.68. The projection magnification B is −¼. The size of the exposure field at the wafer W is 26.4 mm in diameter. The refractive index of all glass elements=1.508382 at a wavelength of 248.4 nanometers. 
     
       
         
               
               
               
               
               
             
           
               
                   
                 TABLE 1 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 axial 
                 glass 
               
               
                   
                 number 
                 curvature (mm) 
                 distance (mm) 
                 material 
               
               
                   
                   
               
             
             
               
                   
                 OBJ 
                 INFINITY 
                 82.587839 
                   
               
               
                   
                  1 
                 1598.37871 
                 30.053434 
                 silica 
               
               
                   
                  2 
                 −417.05896 
                 1.000000 
               
               
                   
                  3 
                 503.31521 
                 21.063176 
                 silica 
               
               
                   
                  4 
                 −501.24931 
                 1.000000 
               
               
                   
                  5 
                 319.32150 
                 21.118796 
                 silica 
               
               
                   
                  6 
                 −939.58621 
                 1.000000 
               
               
                   
                  7 
                 199.70565 
                 15.000000 
                 silica 
               
               
                   
                  8 
                 116.26508 
                 7.237786 
               
               
                   
                  9 
                 174.42200 
                 15.000000 
                 silica 
               
               
                   
                 10 
                 120.84092 
                 19.108574 
               
               
                   
                 11 
                 −362.18146 
                 15.000000 
                 silica 
               
               
                   
                 12 
                 220.67477 
                 21.772378 
               
               
                   
                 13 
                 −126.71524 
                 15.312943 
                 silica 
               
               
                   
                 14 
                 3111.99318 
                 25.401340 
               
               
                   
                 15 
                 −100.56982 
                 17.341795 
                 silica 
               
               
                   
                 16 
                 −322.85534 
                 7.990353 
               
               
                   
                 17 
                 −206.68417 
                 26.118464 
                 silica 
               
               
                   
                 18 
                 −143.28984 
                 1.000000 
               
               
                   
                 19 
                 −500.18111 
                 34.865556 
                 silica 
               
               
                   
                 20 
                 −191.41459 
                 1.000000 
               
               
                   
                 21 
                 −7831.82032 
                 37.615116 
                 silica 
               
               
                   
                 22 
                 −277.03928 
                 1.000000 
               
               
                   
                 23 
                 547.12546 
                 37.927001 
                 silica 
               
               
                   
                 24 
                 −604.23930 
                 1.054760 
               
               
                   
                 25 
                 275.99590 
                 38.186931 
                 silica 
               
               
                   
                 26 
                 2062.19872 
                 25.689963 
               
               
                   
                 27 
                 183.92980 
                 40.000000 
                 silica 
               
               
                   
                 28 
                 117.13001 
                 43.646082 
               
               
                   
                 29 
                 −232.42351 
                 15.386090 
                 silica 
               
               
                   
                 30 
                 214.62777 
                 37.468675 
               
               
                   
                 31 
                 −137.28190 
                 40.000000 
                 silica 
               
               
                   
                 32 
                 4392.63800 
                 35.553325 
               
               
                   
                 33 
                 −428.94225 
                 30.742465 
                 silica 
               
               
                   
                 34 
                 −214.22913 
                 1.062745 
               
               
                   
                 35 
                 696.57527 
                 52.509440 
                 silica 
               
               
                   
                 36 
                 −271.40165 
                 8.000000 
               
               
                   
                 37(STOP) 
                 INFINITY 
                 9.931944 
               
               
                   
                 38 
                 310.65526 
                 41.002268 
                 silica 
               
               
                   
                 39 
                 −1658.65252 
                 24.662242 
               
               
                   
                 40 
                 −285.41323 
                 40.000000 
                 silica 
               
               
                   
                 41 
                 −722.86541 
                 12.907438 
               
               
                   
                 42 
                 523.65129 
                 42.625556 
                 silica 
               
               
                   
                 43 
                 −459.16672 
                 1.000000 
               
               
                   
                 44 
                 163.43705 
                 39.514787 
                 silica 
               
               
                   
                 45 
                 470.50083 
                 1.000000 
               
               
                   
                 46 
                 136.65783 
                 40.000000 
                 silica 
               
               
                   
                 47 
                 276.01101 
                 11.099540 
               
               
                   
                 48 
                 2946.36351 
                 40.000000 
                 silica 
               
               
                   
                 49 
                 56.39038 
                 14.566496 
               
               
                   
                 50 
                 53.68224 
                 35.357806 
                 silica 
               
               
                   
                 51 
                 1314.21692 
                 15.000000 
               
               
                   
                 IMG 
                 INFINITY 
                 0.000000 
               
               
                   
                   
               
             
          
         
       
     
     Table 2 shows the corresponding values for each condition (1) through (7) identified above for the first embodiment. 
     
       
         
               
               
               
             
           
               
                   
                 TABLE 2 
               
               
                   
                   
               
             
             
               
                   
                 (1) 
                 0.0000049 
               
               
                   
                 (2) 
                 −0.0047 
               
               
                   
                 (3) 
                 0.152 
               
               
                   
                 (4) 
                 −0.048 
               
               
                   
                 (5) 
                 0.111 
               
               
                   
                 (6) 
                 −0.079 
               
               
                   
                 (7) 
                 0.153 
               
               
                   
                   
               
             
          
         
       
     
     Referring to FIG. 4, the projection optical system according to the second embodiment has, in order from the side of reticle R as the first object, a first lens group G 1  having a positive refractive power. A second lens group G 2  has a negative refractive power while a third lens group G 3  has a positive refractive power. A fourth lens group G 4  has a negative refractive power, while the fifth lens group G 5  has a positive refractive power. 
     The first lens group G 1  includes, in order from the first object side, a plano-convex lens L 11  with a convex surface directed to the second object (e.g. wafer) side, a double convex lens L 12  and a double convex lens L 13 . 
     The second lens group G 2  includes, in order from the first object side, a negative meniscus lens L 21  with a concave surface directed to the second object side. A negative meniscus lens L 22  is included in G 2  and has a concave surface directed to the second object side. This is followed in turn by a double concave lens L 23 , a double concave lens L 24  and a negative meniscus lens L 25  with a concave surface directed to the first object side. 
     The third lens group G 3  includes, in order from the first object side, a positive meniscus lens L 31  with a convex surface directed to the second object side, a positive meniscus lens L 32  with a convex surface directed to the second object side, a positive meniscus lens L 33  with a convex surface directed to the second object side, a double convex lens L 34  and a positive meniscus lens L 35  with a convex surface directed to the first object side. 
     The fourth lens group G 4  includes, in order from the first object side, a negative meniscus lens L 41  with a concave surface directed to the second object side, a double concave lens L 42  and a double concave lens L 43 . 
     The fifth lens group G 5  includes, in order from the first object side, a positive meniscus lens L 51  with a convex surface directed to the second object side, a double convex lens L 52 , the aperture stop, a double convex lens L 53 , a negative meniscus lens L 54  with a concave surface directed to the first object side, a double convex lens L 55 , a positive meniscus lens L 56  with a convex surface directed to the first object side, a positive meniscus lens L 57  with a convex surface directed to the first object side, a negative meniscus lens L 58  with a concave surface directed to the second object side and a positive meniscus lens L 59  with a convex surface directed to the first object side. 
     Table 3 below provides the lens prescription for the embodiment of the projection optical system illustrated in FIG.  4 . The parameter definitions are the same as those in Table 1 above. In this embodiment, the distance between the object and the image (the distance between the object surface to the image surface along the optical axis) L is 1200 mm. The image side numerical aperture is 0.64. The projection magnification B is −¼. The exposure field at the wafer W is 26.4 mm in diameter. The refractive index of all glass elements=1.508382 at a wavelength of 248.4 nanometers. 
     
       
         
               
               
               
               
               
             
           
               
                   
                 TABLE 3 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 axial 
                 glass 
               
               
                   
                 number 
                 curvature (mm) 
                 distance (mm) 
                 material 
               
               
                   
                   
               
             
             
               
                   
                 OBJ 
                 INFINITY 
                 84.999999 
                   
               
               
                   
                  1 
                 INFINITY 
                 35.772106 
                 silica 
               
               
                   
                  2 
                 −426.82686 
                 1.000000 
               
               
                   
                  3 
                 447.76877 
                 21.926922 
                 silica 
               
               
                   
                  4 
                 −542.53692 
                 1.000000 
               
               
                   
                  5 
                 249.24305 
                 23.437508 
                 silica 
               
               
                   
                  6 
                 −947.65439 
                 1.000000 
               
               
                   
                  7 
                 208.69167 
                 15.000000 
                 silica 
               
               
                   
                  8 
                 118.23751 
                 9.280937 
               
               
                   
                  9 
                 224.77860 
                 15.000000 
                 silica 
               
               
                   
                 10 
                 127.67317 
                 23.483315 
               
               
                   
                 11 
                 −169.68526 
                 15.001326 
                 silica 
               
               
                   
                 12 
                 379.27379 
                 11.689405 
               
               
                   
                 13 
                 −302.53403 
                 16.393900 
                 silica 
               
               
                   
                 14 
                 311.23186 
                 30.310260 
               
               
                   
                 15 
                 −106.72768 
                 15.008614 
                 silica 
               
               
                   
                 16 
                 −392.69540 
                 9.972209 
               
               
                   
                 17 
                 −205.33628 
                 23.850294 
                 silica 
               
               
                   
                 18 
                 −148.43373 
                 1.010159 
               
               
                   
                 19 
                 −429.02434 
                 27.713361 
                 silica 
               
               
                   
                 20 
                 −214.15117 
                 1.006986 
               
               
                   
                 21 
                 −5680.07463 
                 44.948641 
                 silica 
               
               
                   
                 22 
                 −224.61789 
                 1.000000 
               
               
                   
                 23 
                 349.66908 
                 47.412733 
                 silica 
               
               
                   
                 24 
                 −531.40671 
                 4.183506 
               
               
                   
                 25 
                 278.92972 
                 32.344705 
                 silica 
               
               
                   
                 26 
                 930.49191 
                 33.341137 
               
               
                   
                 27 
                 178.61021 
                 31.461979 
                 silica 
               
               
                   
                 28 
                 121.69011 
                 42.125460 
               
               
                   
                 29 
                 −247.98307 
                 18.026765 
                 silica 
               
               
                   
                 30 
                 209.62186 
                 35.618157 
               
               
                   
                 31 
                 −145.77717 
                 40.098338 
                 silica 
               
               
                   
                 32 
                 1015.77429 
                 38.031978 
               
               
                   
                 33 
                 −573.23791 
                 31.094551 
                 silica 
               
               
                   
                 34 
                 −248.13149 
                 1.000000 
               
               
                   
                 35 
                 1030.83591 
                 49.411772 
                 silica 
               
               
                   
                 36 
                 −289.46497 
                 8.000000 
               
               
                   
                 37(STOP) 
                 INFINITY 
                 15.000000 
               
               
                   
                 38 
                 318.75587 
                 38.626269 
                 silica 
               
               
                   
                 39 
                 −1550.27591 
                 25.174181 
               
               
                   
                 40 
                 −263.60238 
                 24.288345 
                 silica 
               
               
                   
                 41 
                 −473.68298 
                 16.529506 
               
               
                   
                 42 
                 453.73219 
                 43.094068 
                 silica 
               
               
                   
                 43 
                 −481.36234 
                 1.018091 
               
               
                   
                 44 
                 161.28541 
                 41.314986 
                 silica 
               
               
                   
                 45 
                 535.41353 
                 1.011961 
               
               
                   
                 46 
                 136.43485 
                 40.166646 
                 silica 
               
               
                   
                 47 
                 255.69078 
                 11.010766 
               
               
                   
                 48 
                 2622.89894 
                 40.017313 
                 silica 
               
               
                   
                 49 
                 54.81486 
                 12.189990 
               
               
                   
                 50 
                 52.98901 
                 31.361034 
                 silica 
               
               
                   
                 51 
                 1141.89150 
                 17.239820 
               
               
                   
                 IMG 
                 INFINITY 
                 0.000000 
               
               
                   
                   
               
             
          
         
       
     
     The following TABLE  4  shows the corresponding values for conditions (1) through (7) for the embodiment of FIG.  4 : 
     
       
         
               
               
               
             
           
               
                   
                 TABLE 4 
               
               
                   
                   
               
             
             
               
                   
                 (1) 
                 0.0000034 
               
               
                   
                 (2) 
                 −0.0048 
               
               
                   
                 (3) 
                 0.147 
               
               
                   
                 (4) 
                 −0.046 
               
               
                   
                 (5) 
                 0.109 
               
               
                   
                 (6) 
                 −0.079 
               
               
                   
                 (7) 
                 0.139 
               
               
                   
                   
               
             
          
         
       
     
     Those skilled in the field of optical design will readily recognize that FIGS. 5-8 graphically illustrate various aberrations of the first embodiment of the projection optical system illustrated in FIG.  3 . More specifically, FIG. 5 graphically illustrates the spherical aberration associated with the first embodiment. FIG. 6 graphically illustrates the astigmatism for the first embodiment. FIG. 7 graphically illustrates distortion for the first embodiment and FIG. 8 graphically illustrates lateral aberration of the first embodiment. 
     Similarly, FIGS. 9-12 graphically illustrate various aberrations of the second embodiment of the projection optical system illustrated in FIG.  4 . More specifically, FIG. 9 graphically illustrates the spherical aberration associated with the second embodiment. FIG. 10 graphically illustrates the astigmatism for the second embodiment. FIG. 11 graphically illustrates distortion for the second embodiment and FIG. 12 graphically illustrates lateral aberration of the second embodiment. 
     As those skilled in the art will appreciate from a review of the aberration diagrams, each of the above-described first and second embodiments are well corrected and achieve a good balance for the various aberrations. In addition, the performance of the projection optical system of the present invention is realized while also including relative high numerical apertures of 0.64 or 0.68. 
     In addition to the performance illustrated in the aberration plots and the drawing of the ray tracings, it can be determined that the field curvature of pupil is small for each embodiment. The reduction of field curvature of pupil is achieved by decreasing the Petzval sum PTZ( 1 ). 
     The above embodiments utilize a KrF excimer laser as the illumination source, which supplies illumination at a wavelength of 248.4 nm. Of course, the present invention is not limited to use with a KrF excimer laser. Any suitable illumination source may be utilized with the present invention, including extreme ultraviolet light sources such as an ArF excimer laser supplying illumination having a wavelength of 193 nm, an F 2  excimer laser supplying illumination having a wavelength of 157 nm, a mercury arc lamp capable of supplying g-line illumination having a wavelength of 436 nm and i-line illumination having a wavelength of 365 nm, as well as other ultraviolet light sources. 
     In addition, for each of the above embodiments, the index of refraction has been provided to identify the glass material. While the presently preferred lens material is silica, if the exposure light is not monochromatic, it may be necessary to construct the projection optical system from other types of optical materials. For example, a combination of silica lens elements and calcium fluorite (CaF 2 ) lens elements can be used to correct the chromatic aberration that would be introduced by the use of a non-monochromatic illumination source. 
     As those skilled in the art of projection optical systems will readily appreciate, numerous substitutions, modifications and additions may be made to the above design without departing from the spirit and scope of the present invention. It is intended that all such substitutions, modifications and additions fall within the scope of the present invention that is best defined by the claims appended below.