a catadioptric imaging system 10 for microlithographic projection is shown in fig1 in an arrangement for imaging a reticle 12 ( object ) onto a resist 14 ( image ). an enlarged view of a double - reflecting mangin mirror 20 , which provides substantial focusing power for the imaging system 10 , is shown in fig3 . an assembly 18 of largely refractive components is arranged for filling the aperture of the double - reflecting mangin mirror 20 while assisting in the correction of aberrations . throughout the assembly 18 , refraction angles are minimized to avoid the introduction of unnecessary aberrations . a field correcting optic 22 operating in an immersion mode works in conjunction with the mangin mirror 20 to produce a final image of the reticle 12 on a focal plane of the resist 14 . the focusing power of the double - reflecting mangin mirror 20 , which is positioned at or near a pupil of the imaging system 10 , is apparent from the depicted paths of marginal rays 24 a and 24 b through the mangin mirror 20 . the marginal rays 24 a and 24 b enter the mangin mirror 20 through a partially reflective surface 26 , which is formed on a front side of an optically transmissive body 28 . the marginal rays 24 a and 24 b propagate through the optically transmissive body 28 and are reflected by a concave reflective surface 30 on the back side of the optically transmissive body 28 . after reflecting , the marginal rays 24 a and 24 b propagate along a converging path through the optically transmissive body 28 a second time to the partially reflective surface 26 . the marginal rays 24 a and 24 b re - encounter the partially reflective surface 26 at a higher angle incidence than the angle of incidence at which they were first transmitted through the partially reflective surface 26 . at the higher angles of incidence , each of the marginal rays 24 a and 24 includes a substantial component that reflects from the partially reflective surface 26 for propagating along a further converging path through the optically transmissive body a third time toward an aperture 32 formed in the concave reflective surface 30 . the optically transmissive body 28 is preferably a refractive body made of an optical material that is transmissive at deep uv wavelengths of light ( i . e ., less than 200 nanometers ), such as fused silica or calcium fluoride . the partially reflective surface 26 is preferably a refractive surface formed on the front side of the refractive body . coatings or other treatments can be applied to the refractive surface , such as coatings regulating matters of transmission , reflection , or polarization . in addition to the varying angles of incidence between the transmissive and reflective encounters of the marginal rays 24 a and 24 b , the rays ( of which the marginal rays 24 a and 24 b are examples ) that transmit through the partially reflective surface 26 are spaced farther from an optical axis 34 of the mangin mirror 20 than the rays that are reflected from the partially reflective surface 26 . this affords a further opportunity to differentiate between the rays that are transmitted and the rays that are reflected at partially reflective surface 26 by treating the partially reflective surface 26 as a function of radial distance from the optical axis 34 . the treatments , which can include reflective or anti - reflective coatings , can be applied to reinforce transmission in radially defined areas of the partially reflective surface 26 primarily responsible for transmitting the rays toward the concave reflective surface 30 and to reinforce reflection in radially defined areas of the partially reflective surface 26 primarily responsible for reflecting the rays toward the aperture 32 . a concave refractive surface 36 is formed in the optically transmissive body 28 within the aperture 32 . the concave refractive surface 36 , which has a nominal center of curvature located along the optical axis 34 in a direction opposite to the location of a nominal center of curvature of the concave reflective surface 30 , limits refraction angles ( e . g ., to less than 10 degrees ) through which the marginal rays 24 a and 24 b are bent upon exiting the mangin mirror element 20 . for a similar purpose , the field optic 22 , which also has an optically transmissive body 38 ( e . g ., a lens body ), includes a convex refractive surface 40 adjacent to the concave refractive surface 36 of the mangin mirror . the marginal rays 24 a and 24 b approach both the concave surface 36 on the back side of the mangin mirror 20 and the convex surface 40 on a front side of the field optic 22 at limited angles of incidence to reduce the amount of refraction occurring at the two surfaces 36 and 40 ( e . g ., to less than 10 degrees ). in addition , the convex refractive surface 40 of the field element 32 fits closely together with the concave refractive surface 36 of the mangin element 20 to limit the distance through which refraction is effective for introducing aberration between the surfaces 36 and 40 . however , the centers of curvature of the adjacent concave and convex surfaces 36 and 40 depart slightly from each other to provide a corrective focusing function . the back side of the field correcting optic 22 has a immersion surface 42 that is exposed to a liquid optical medium 44 , such as de - gassed water , for forming an immersion interface with the photo resist 14 . the immersion surface 42 preferably has a planar form ( making the field optic 22 a plano - convex lens ) adjacent to the resist 14 . although the marginal rays 24 a and 24 b approach the immersion surface 42 at high angles of incidence , refraction is limited ( e . g ., to less than 10 degrees ) at the surface 42 because of the liquid optical medium 44 into which the rays 24 a and 24 b enter has an index of refraction much closer to the index of refraction of the focusing optic &# 39 ; s transmissive body 38 than air . the higher index of refraction of the liquid optical medium 44 also supports a significantly higher numerical aperture at which the marginal rays 24 a and 24 b come to focus on the resist 14 . the immersion surface 42 can also take a concave form to further limit refraction between the field correcting optic 22 and the liquid optical medium 44 , but with some sacrifice of field of view . as now apparent , the majority of the focusing power of the imaging system 10 is provided by the reflections of the mangin mirror 20 . increasing the curvature of the concave reflective surface 30 can increase the focusing power . however , increasing the curvature of the concave reflective surface 30 can also limit the aperture size at which the mangin mirror 20 is effective for doubly reflecting light . normally , the refractive surfaces of mangin mirrors are concave to reduce the effects of spherical aberration . however , the partially reflective surface 26 of the mangin mirror 20 is preferably non - concave , including nearly planar , so that the marginal rays 24 a and 24 b reflected from the partially reflective surface 26 are inclined to the optical axis 34 by converging angles “ β ” that are at least as great as the converging angles “ α ” at which the marginal rays 24 a and 24 b are reflected from the concave reflective surface 30 . as shown in the illustrated embodiment , the partially reflective surface 26 is a planar surface oriented normal to the optical axis 34 . accordingly , the angle “ α ” at which the rays 24 a and 24 b are first converged by the concave reflective surface 30 is preserved by reflection from the partially reflective surface 26 so that the two reflection angles “ α ” and “ β ” are equal . even larger “ β ” angles are possible by forming the partially reflective surface 26 as a convex surface . however , the planar form of the partially reflective surface 26 has significant manufacturing advantages , such as providing for more easily aligning the partially reflective surface 26 with both the concave reflective surface 30 and the concave refractive surface 34 of the mangin mirror 20 . a table follows , listing the fabrication data in millimeters for making the illustrated catadioptric imaging system 10 operating at a 193 . 3 nanometer reference wavelength over a range of 192 . 6 to 194 nanometers with a numerical aperture of 1 . 2 and a 15 × reducing power . element radius of curvature aperture diameter number front back thickness front back material object 12 inf 7 . 0000 51 43 . 3356 37 . 2553 6 . 6881 11 . 6500 11 . 5829 silica space 333 . 3049 52 1024 . 2604 − 137 . 0424 8 . 0616 65 . 7105 66 . 0127 caf 2 space 96 . 2258 53 87 . 4466 40 . 8464 7 . 5129 53 . 5077 49 . 9088 silica space 20 . 0310 54 − 43 . 8045 − 54 . 6894 5 . 0000 51 . 2325 55 . 5014 silica space 8 . 5625 55 296 . 4268 − 118 . 5802 10 . 4736 64 . 9622 66 . 0260 caf 2 space 0 . 0200 56 99 . 6257 56 . 2463 17 . 7410 67 . 2065 63 . 6415 caf 2 space 10 . 3943 57 266 . 5824 − 60 . 6273 15 . 0404 64 . 8690 65 . 6625 caf 2 space 7 . 3373 58 − 53 . 6837 − 153 . 2293 5 . 000 63 . 6834 67 . 5688 silica space 21 . 3538 aperture stop 59 74 . 2546 space 0 . 0200 28 ( 26 - 30 ) inf − 82 . 8138 18 . 9632 74 . 2605 76 . 0852 silica 30 − 82 . 8138 76 . 0852 refl 28 ( 30 - 26 ) − 82 . 8138 inf − 18 . 9632 76 . 0852 76 . 0852 silica 26 inf 53 . 4919 refl 28 ( 26 - 36 ) inf 11 . 0239 17 . 5713 53 . 4919 76 . 0852 silica space 0 . 6823 38 ( 40 - 42 ) 6 . 6465 inf 2 . 9229 7 . 3577 2 . 5339 caf 2 44 inf inf 0 . 6000 2 . 5339 0 . 7070 h 2 o image 14 inf 0 . 7070 other first order data for defining the imaging system follows where ffl is measured from the first surface and bfl is measured from the last surface . infinite conjugates efl 53 . 4911 bfl − 2 . 9659 ffl 551 . 6155 f / no 0 . 4219 at used conjugates reduction 0 . 0667 finite f / no 0 . 4167 object dist 7 . 0000 total track 601 . 5438 image dist 0 . 6000 oal 593 . 9438 paraxial image ht 0 . 3535 paraxial image dist 0 . 6001 semi - field angle 0 . 5551 entr pupil diameter 88 . 2731 entr pupil distance 542 . 9388 exit pupil diameter 378 . 8727 exit pupil distance 226 . 6206 another catadioptric imaging system 70 in accordance with the invention is shown in fig2 . adapted for use with a double - reflecting mangin mirror 80 shown in fig4 . similar to the preceding catadioptric imaging system 10 , the catadioptric imaging system 70 has a newtonian form for projecting an image of the reticle 12 ( object ) onto the resist 14 ( image ) at a high reduction ratio . most of the focusing power is provided by the double - reflecting mangin mirror 80 . a refractive optical assembly 78 fills the aperture of the double - reflecting mangin mirror 80 while compensating for various aberrations that arise within the imaging system 70 . the double - refracting mangin mirror 80 is located at or near the pupil of a telecentric imaging system in image space . as shown in fig4 , a field correcting optic 82 is arranged as a bilateral immersion optic between two liquid optical mediums 86 and 88 . the liquid optical medium 86 connects the double - reflecting mangin mirror 80 to the field optic 82 , and the liquid optical medium 88 connects the field optic 82 to the resist 14 in an image plane of the imaging system 70 . similar to the preceding embodiment , marginal rays 84 a and 84 b , which are representative of a range of rays brought to focus by the imaging system 70 , enter a refractive body 98 ( a transmissive optical body ) of the mangin mirror 80 through a refractive surface 96 , which is adapted to be both partially transmissive and partially reflective . the marginal rays 84 a and 84 b approach the refractive surface 96 at near normal incidence and for this reason ( among others ) tend to transmit thorough the refractive surface 96 . after traversing the refractive body 98 , the marginal rays 84 a and 84 b reflect from a concave reflective surface 100 formed on the back side of the refractive body 98 . the reflected marginal rays 84 a and 84 b are directed along a converging path through the refractive body 98 a second time , inclined to an optical axis 94 of the mangin mirror 80 through an angle “ α ”. each of the converging marginal rays 84 a and 84 b includes a significant component that reflects from the refractive surface 96 on a further converging path through the refractive body 98 a third time , inclined to an optical axis 94 of the mangin mirror 80 through an angle “ β ”. the refractive surface 96 is shaped ( e . g ., has a non - concave and , preferably , nearly planar form ) so that the marginal rays 84 a and 84 b reflect from the refractive surface 96 at an angle “ β ” that is equal to or greater than the angle “ α ” at which the marginal rays 84 a and 84 b reflect from the concave reflective surface 100 . the reflectivity of the refractive surface 96 results at least in part from ( a ) a difference between the refractive index of the refractive body 98 and its adjacent air medium and ( b ) the angles of incidence at which the converging rays approach the refractive surface 96 . in addition , coatings can be applied to more efficiently govern the transmission and reflection of light across the refractive surface 96 . for example , a coating can be applied to the refractive surface 96 that further differentiates on the basis of incidence angle or position on the refractive surface 96 for more efficiently transmitting and reflecting the range of rays that are brought to focus by the imaging system 70 . for example , reflectivity of the coating can be increased in an annular region 95 of the refractive surface 96 at which the imaging rays are primarily intended to be reflected and decreased in an annular region 97 of the refractive surface 96 at which the imaging rays are primarily intended to be transmitted . the converging marginal rays 84 a and 84 b exit the mangin mirror 80 through a convex refractive surface 106 within an aperture 102 of the concave reflective surface 100 . the convex refractive surface 106 has a center of curvature at least approximately matching that of the concave reflective surface 100 so that both surfaces 100 and 106 occupy different portions of an uninterrupted shape ( e . g ., spherical shape ) on the back of the refractive body 98 . although the converging radial rays approach the convex refractive surface 106 at relatively high angles of incidence , refraction is limited ( e . g ., to less than 10 degrees ) by filling a space between the mangin mirror 80 and the field correcting optic 82 with the liquid optical medium 86 . the liquid optical medium 86 , which can be degassed water , reduces refractive index differences across the convex refractive surface 106 . the field correcting optic 82 has a refractive body 108 together with a convex refractive surface 110 adjacent to the convex refractive surface 106 of the mangin mirror 80 and a planar refractive surface 112 adjacent to the resist 14 . as such , the field correcting optic 82 can be referred to as a piano - convex optic having positive focusing power . the field correcting optic 82 can also be referred to as a bilateral immersion optic because the convex refractive surface 110 is an immersion surface exposed to the liquid optical medium 86 and the planar refractive surface 112 is an immersion surface exposed to the liquid optical medium 88 . the elevated refractive indices of the liquid optical mediums 86 and 88 limit the amount of refraction ( e . g ., to less than 10 degrees ) across the refractive surfaces 110 and 112 of the field optic 82 . although the marginal rays 84 a and 84 b approach the respective refractive surfaces 110 and 112 at substantial angles of incidence , refraction is restricted by the limited differences in the refractive indices of the optical mediums 86 and 88 on opposite sides of the refractive surfaces 110 and 112 . while degassed water is preferred for both liquid optical mediums 86 and 88 , a different optical liquid could be used for one or both . for example , the liquid optical medium 86 can be confined between the mangin mirror 80 and the field optic 82 by a peripheral seal 114 independently of the liquid optical medium 88 . within the same overall design of the imaging system 70 , the two liquid optical mediums 86 and 88 can be varied to accommodate different resists 14 and to make fine optical adjustments . a table follows , listing the fabrication data in millimeters for making the illustrated catadioptric imaging system 70 operating similarly to the preceding embodiment at a 193 nanometer wavelength with a numerical aperture of 1 . 2 and a 15 × reducing power . element radius of curvature aperture diameter number front back thickness front back material obejct 12 inf 85 . 8698 61 65 . 7102 51 . 6419 20 . 5066 23 . 0980 22 . 3354 silica space 245 . 4068 62 435 . 1054 − 150 . 4084 9 . 0483 69 . 8704 70 . 1300 caf 2 space 102 . 1563 63 116 . 2850 43 . 2535 6 . 6875 55 . 8903 52 . 7145 silica space 20 . 6876 64 − 47 . 7576 − 71 . 4321 12 . 0956 54 . 3401 64 . 5469 silica space 7 . 0370 65 134 . 9633 − 101 . 5776 17 . 8787 78 . 4571 79 . 2839 caf 2 space 0 . 0200 66 79 . 3961 56 . 4347 4 . 3609 77 . 2784 73 . 6386 silica space 9 . 9511 67 113 . 8151 − 132 . 3919 14 . 8674 74 . 1772 73 . 8734 caf 2 space 6 . 8027 68 − 73 . 9770 − 198 . 0131 5 . 0848 72 . 7498 74 . 3303 silica space 11 . 3173 aperture stop 69 74 . 3728 space 0 . 6827 98 ( 96 - 100 ) − 1043 . 7160 − 89 . 2413 19 . 7738 74 . 3736 74 . 9846 silica 100 − 89 . 2413 74 . 9846 refl 98 ( 100 - 96 ) − 89 . 2413 − 1043 . 716 − 19 . 7738 74 . 9846 74 . 9846 silica 96 − 1043 . 7160 48 . 5489 refl 98 ( 96 - 106 ) − 1043 . 7160 − 89 . 2413 19 . 7738 48 . 5489 74 . 9846 silica 86 − 89 . 2413 4 . 0537 0 . 2000 10 . 0000 4 . 9516 h 2 o 82 4 . 0537 inf 1 . 8436 4 . 9516 2 . 5397 silica 88 inf inf 0 . 6000 2 . 5397 10 . 0000 h 2 o image 14 inf 10 . 0000 although the partially reflective surface 96 is listed as having a negative radius of curvature indicative of a concave surface on the front side of the refractive body 98 , the size of the radius of curvature is such that the surface 96 is still considered nominally planar . also , while the reflective surface 100 and the refractive surface 106 share the same negative curvature , the reflective surface 100 is regarded as concave and the refractive surface 106 is regarded as convex in accordance with conventional optical designations . other first order data for defining the imaging system follows where ffl is measured from the first surface and bfl is measured from the last surface . infinite conjugates efl 62 . 0784 bfl − 3 . 5384 ffl 562 . 7456 f / no 0 . 4284 at used conjugates reduction 0 . 0667 finite f / no 0 . 4167 object dist 85 . 8698 total track 602 . 8784 image dist 0 . 6000 oal 516 . 4086 paraxial image ht 0 . 3535 paraxial image dist 0 . 6001 semi - field angle 0 . 4835 entr pupil diameter 100 . 9403 entr pupil distance 542 . 9926 exit pupil diameter 220 . 9644 exit pupil distance 132 . 3550 the spaces between elements of both depicted imaging systems 10 and 70 are generally air and preferably nitrogen , while the elements themselves are generally glass and preferably fused silica or calcium fluoride . one or more liquid mediums , preferably degassed water , are also envisioned on one or both sides of the final element 22 or 82 . generally , the designs favor achieving a high numeral aperture including numerical apertures substantially greater than one ( e . g ., 1 . 2 ) while minimizing the amount of refraction at interfaces throughout the designs . in addition , the designs favor minimizing the inclination of marginal rays with respect to the optical axis 34 or 94 throughout most of the refractive optics 18 or 78 to minimize the influence of birefringence within the cubic crystalline materials ( e . g ., calcium fluoride ). most of the inclination occurs within the double - reflecting mangin mirror 20 or 80 as a result of reflection . the refractive body 28 or 98 of the mangin mirror 20 or 80 can be fused silica to minimize the effects of birefringence . however , even if a cubic crystalline material such as calcium fluoride is used in the refractive body 28 or 98 of the mangin mirror 20 or 80 , the multiple reflections have a clocking effect that tend to more uniformly distribute the birefringence effects . in fact , the clocking effects can be optimized by arranging the partially reflective surface 26 or 96 to approach a planer form so that the rays pass in opposite directions through the refractive body 28 or 98 at approximately equal angles with respect to the optical axis 34 or 94 ( corresponding to the orientation of one of the crystal axes ). generally , a central obscuration is required to prevent paraxial rays from passing directly through the refractive body 28 or 98 between the refractive surface a 26 or 96 at the front side of the mangin mirror 20 or 80 and the refractive surface 36 or 106 within the aperture 32 or 102 at the backside of the mangin mirror . the obscuration assures that the mangin mirror 20 or 80 has doubly reflected any of the light passing through the aperture 32 or 102 . the partially reflective surface 26 or 96 can also be arranged to have an angularly dependent radially symmetric polarizing effect on the light reflected on the further converging path to the aperture 32 or 102 . at angles of incidence approaching but less than an angle of total internal reflection ( e . g ., in the vicinity of the brewster angle ), one of two orthogonal polarization directions ( i . e ., the polarization direction tm in the plane of incidence ) is not reflected . the transmitted tm polarized light is lost . since the brewster angle is referenced in the plane of incidence and the incident rays are bent within a locus of axial planes intersecting the optical axis 34 or 94 , the rays incident upon the reflective surface 26 or 96 at or near the brewster angle are polarized with radial symmetry , apparent as an azimuthal distribution of polarized light . normally , such polarization losses are avoided if possible to make imaging systems more efficient . however , the invention provides for exploiting the resulting polarization symmetry to enhance imaging at high numerical apertures , such as found in the immersive optical systems 10 and 70 . randomly polarized light approaching the image plane from high angles of incidence includes a component of polarization along the optical axis that does not fully participate in image formation and has the effect of reducing overall contrast . it is the polarization direction ( i . e ., tm ) in the plane of incidence to the resist 14 that is least desirable for image formation at the higher angles of incidence . the electric field vector of the tm polarization direction is inclined complementary to the optical axis 34 or 94 in accordance with the angle of incidence measured against a normal to the resist 14 . interference effects of the tm polarization are diminished by differences between the inclination angles of the electric field vectors within the same plane of incidence . for example , electric field vectors relatively inclined by 90 degrees within the same plane of incidence do not interfere at all . ( a negative contrast is possible at higher incidence angle differences .) the problem does not affect the te polarization direction , whose electric field vectors remain parallel to the plane of incidence throughout the entire range of incidence angles . further control over the incidence angles at the partially reflective surface 26 or 96 can be exploited to produce radial polarization symmetry for producing sharper imaging . since the partially reflective surface 26 or 96 is located adjacent to a pupil of the imaging system 10 , the marginal rays 24 a and 24 b or 84 a and 84 b that approach the partially reflective surface 26 or 96 at the highest angles of incidence also approach the resist 14 at the highest angles of incidence . accordingly , by adjusting the shape , treatment ( e . g ., coatings ) or refractive index difference across the partially reflective surface 26 or 96 , the brewster angle can be matched to a selected range of high incidence angles for the discarding the undesirable tm polarization within the selected range . the exact location of the brewster angle ( or a comparable angle ) among the full span of incidence angles at which the converging beam strikes the partially reflective surface 26 or 96 can be set to favor transmissions of the tm polarization direction at the higher end of the span . however , the higher incidence angles should remain less than the angle of total internal reflection to preserve the desired polarizing effect . the higher incidence angles can be reduced at the partially reflective surface 26 or 96 within the bounds of total internal reflection while maintaining the desired convergence angles “ β ” by increasing the convexity of the partially reflective surface 26 or 96 . the converging beam that reflects from the partially reflective surface 26 or 96 is radially polarized , particularly at the higher inclination angles , favoring a polar orthogonal ( e . g ., azimuthal ) polarization pattern capable of imaging with fuller contrast . the same brewster angle effects at the surface of the resist 14 tend to couple the undesired tm polarization more efficiently than the desired te polarization . however , the reflectivity of the tm polarized light is reduced by the liquid optical medium 44 or 88 , which decreases the refractive index difference across the surface of the resist 14 . for example , for resists having a refractive index of 1 . 8 , reflectivity of the tm polarization inclined by 57 degrees can be reduced from 24 percent to 8 percent by the presence of the liquid optical medium 44 or 48 having a refractive index of approximately 1 . 4 ( e . g ., water ). the polarizing effect of the partially reflective surface 26 or 96 preferably takes place within the domain of a pupil , such as adjacent to the aperture 59 or 69 , where bundles of light , e . g ., 17 and 19 of imaging system 10 or 117 and 119 of imaging system 70 emanating from the object points 13 and 15 , overlap each other . within the region of overlap , the bundles of light 17 and 19 or 117 and 119 are treated collectively so that each retains the radially symmetric polarization pattern ( e . g ., an azimuthal polarization pattern ) upon approaching their unique image points in the image plane ( the resist 14 ). locating a radially symmetric polarizer within a similar domain can make a similar polarizing effect conjugate to the aperture stop 59 or 69 . a double - telecentric catadioptric imaging system 130 together with another double - reflecting mangin mirror 140 is shown in fig5 and 6 . similar to the two preceding embodiments , the imaging system 130 projects an image of the reticle ( object ) onto the resist 14 ( image ) at a high reduction ratio . however , the imaging system 130 is telecentric in both object space and image space . within the telecentric object space , chief rays 141 and 143 of light bundles 137 and 139 emanating from the representative object points 13 and 15 extend parallel to a common optical axis 144 . within the pupil space centered at an aperture stop 159 , the chief rays 141 and 143 intersect the optical axis 144 and the light bundles 137 and 139 overlap each other . within telecentric image space , the chief rays 141 and 143 , were they not blocked by a stop in advance of the mangin mirror 140 , would return parallel to the optical axis 144 for forming corresponding image points in the resist 14 . the light bundles 137 and 139 , which overlap within the pupil space , can be collectively treated within the pupil space for having the same or similar effect on the formation of the corresponding image points in the resist 14 . the mangin mirror 140 provides most of the focusing power , and a field correcting optic 142 associated with the mangin mirror 140 has an immersive interface with the resist 14 for limiting refraction and increasing the numerical aperture . a refractive optical assembly 138 , which fills the aperture 159 in advance of the mangin mirror 140 , is telecentric in form for object space , and the mangin mirror 140 together with the field correcting optic 142 is telecentric in form for image space , each sharing a common pupil in the vicinity of the aperture 159 . as shown in fig6 , overlapping marginal rays 134 a and 134 b enter the mangin mirror 140 by passing through a convex refractive surface 146 on an optically transmissive body 148 . the marginal rays 134 a and 134 b propagate through the optical transmissive body 148 and reflect from a concave reflective surface 150 on converging paths inclined through angle “ α ” with respect to the optical axis 144 . the convex refractive surface 146 also functions as a partially reflecting surface by reflecting the returning marginal rays 134 a and 134 b on a further converging path inclined through angle “ β ” with respect to the optical axis 144 toward an aperture 152 formed in the convex refractive surface 146 . in the two preceding embodiments in which the partially reflective surfaces 26 and 96 planar or nearly planar , the angles “ α ” and “ β ” are approximately equal to each other and to the angle of incidence at which the marginal rays strike the surface , measured with respect to a surface normal at the point of incidence . however , within the mangin mirror 140 , the angle “ β ” is significantly larger than the angle “ α ” because at the point of incidence , a surface normal 147 is inclined to the optical axis 144 due to the convexity of the convex refractive surface 146 . the actual angle of incidence “ μ ” is equal to the average of the angles “ α ” and “ β ”. it is the angle of incidence “ μ ” that in part controls the reflective properties of convex refractive surface 146 , while the angle “ β ” is in part responsible for the focusing power of the mangin mirror 140 . by controlling the convexity of the convex refractive surface 146 , reflective properties of the convex refractive surface 146 can be adjusted independently of the focusing power of the mangin mirror 140 . this independent adjustment is particularly significant for exploiting the angular polarization sensitivity of the convex refractive surface 146 . for example , the angle of incidence “ μ ” of the marginal rays 134 a and 134 b can be set less than the angle of total internal reflection so that the polarization characteristics of the marginal rays 134 remain differentially affected by the encounter of the marginal rays with the convex refractive surface . for example , the angle of incidence “ μ ” can be set in the vicinity of the brewster angle so than the convex refractive surface 146 favors reflection of the te component of polarization over the tm component of polarization , which is lost by transmission . the differential effect is preferably most pronounced at higher angles of incidence . since the convex refractive surface 146 is within a domain of the pupil at which the bundles of rays 137 and 139 substantially overlap , the polarization effect is similar within each of the bundles of rays 137 and 139 . thus , the tm polarization components associated with the higher incident angle rays at the image plane ( the resist 14 ) are similarly minimized with a radial symmetry within each of the bundles 137 and 139 that matches the radial symmetry of the convex refractive surface 146 around the optical axis 144 . although the differential polarizing effect of the convex refractive surface 146 is largely a function of the angle of incidence “ μ ” and the refractive index difference across the convex refractive surface 146 , the polarizing effect can be further controlled by applying polarizing coatings or other treatments to the convex refractive surface . the relatively high angles of incidence at the convex refractive surface 146 make the surface especially suitable for achieving the desired angularly sensitive and radially symmetric polarizing effect . however , a different surface or optical construction could also be used within the domain of the pupil to achieve a desired radially symmetric polarizing effect on the overlapping bundles of rays 137 and 139 . similar to the embodiment of fig3 , a concave refractive surface 156 is formed within the aperture 152 for limiting the angles of incidence at which the converging rays approach the aperture 152 . the field correcting optic 152 has a convex refractive surface 160 on one side of an optically transmissive body 158 and a substantially planar surface 162 on an opposite side . the concave refractive surface 156 of the mangin mirror 140 and the convex refractive surface 160 of the field correcting optic 152 depart in form to produce a field correcting effect through limited angles of refraction . the planar surface 162 is an immersion surface in contact with a liquid optical medium 154 for coupling the field correcting optic 152 to the resist 154 at a high numerical aperture but limited angles of refraction . a table listing fabrication data in millimeters for the catadioptric imaging system 130 at a reference wavelength of 193 . 3 nanometers within a spectral of 192 . 6 - 194 . 0 nanometers follows . element radius of curvature aperture diameter number front back thickness front back material object inf 8 . 8120 171 43 . 8766 32 . 2866 20 . 9205 12 . 0911 12 . 1413 silica 148 . 3546 172 − 1715 . 9101 a ( 1 ) 5 . 9311 44 . 9003 45 . 4512 caf 2 262 . 5214 173 241 . 5870 47 . 0285 4 . 5000 47 . 3665 46 . 7355 silica 18 . 8190 174 − 38 . 4333 − 57 . 1318 5 . 0020 49 . 0497 55 . 4000 silica 0 . 1482 175 375 . 3203 − 63 . 6290 19 . 8929 62 . 8751 67 . 2032 caf 2 12 . 6018 176 106 . 4111 57 . 2145 19 . 9818 70 . 8697 67 . 1712 caf 2 9 . 1360 177 138 . 1296 − 82 . 3658 15 . 4741 68 . 6578 69 . 3138 caf 2 4 . 5986 178 − 66 . 3868 a ( 2 ) 5 . 0000 68 . 8332 72 . 1529 silica 11 . 9800 aperture stop 179 76 . 0465 0 . 0200 ( 146 - 150 ) 283 . 3503 − 118 . 5485 23 . 0274 76 . 7809 78 . 0418 caf 2 150 − 118 . 5485 78 . 0418 refl ( 150 - 146 ) − 118 . 5485 283 . 3503 − 23 . 0274 78 . 0418 78 . 0418 caf 2 146 283 . 3503 56 . 3647 refl ( 146 - 156 ) 283 . 3503 14 . 6951 22 . 0074 56 . 3647 78 . 0418 caf 2 0 . 0238 ( 160 - 162 ) 9 . 0476 inf 3 . 5207 8 . 7659 3 . 0056 silica 154 inf inf 0 . 7539 3 . 0056 0 . 7070 h 2 o image 14 inf 0 . 7070 as with the other tables , a positive radius indicates a center of curvature to the right , and a negative radius indicates a center of curvature to the left . thickness is the axial distance between adjacent surfaces , and the image diameter is paraxial value rather than a ray traced value . the optical elements 172 and 178 have aspheric back surfaces designated a ( 1 ) and a ( 2 ). these surfaces are defined by a set of coefficients reproduced in the table below in accordance with the following equation : z = ( curv ) ⁢ y 2 1 + ( 1 - ( 1 + k ) ⁢ ( curv ) 2 ⁢ y 2 ) 1 / 2 + ( a ) ⁢ y 4 + ( b ) ⁢ y 6 + ( c ) ⁢ y 8 + ( d ) ⁢ y 10 surface curv k a b c d a ( 1 ) − 0 . 00971830 0 . 000000 − 2 . 87514e − 08 − 6 . 97112e − 12 7 . 24275e − 15 − 5 . 39628e − 18 a ( 2 ) − 0 . 00608055 0 . 000000 2 . 78960e − 08 − 2 . 57837e − 12 1 . 98478e − 16 4 . 73140e − 18 other first order data for defining the imaging system follows where ffl is measured from the first surface and bfl is measured from the last surface . infinite conjugates efl − 1458 . 4794 bfl 97 . 9869 ffl − 15239 . 5785 f / no − 0 . 0603 at used conjugates reduction 0 . 0667 finite f / no 0 . 4167 object dist 8 . 8120 total track 600 . 0000 image dist 0 . 7539 oal 590 . 4341 paraxial image ht 0 . 3535 paraxial image dist 0 . 7540 semi - field angle 0 . 0029 entr pupil diameter 16845 . 5552 entr pupil distance 104938 . 4560 exit pupil diameter 142 . 3294 exit pupil distance 85 . 6641 although described with respect to a limited number of embodiments , the invention , the descriptions and explanations of the invention render the invention applicable in a number of different ways for such purposes as high numerical aperture imaging , reducing aberrations , accommodating of deep uv wavelengths , and enhancing image contrast .