Abstract:
An optical testing system includes a computer generated hologram (CGH) and an imaging element (IE). Both are disposed in a path of light traveling between a wavefront measuring system (WMS) and an object under test. The CGH is located a first distance from the WMS and the IE is located a second distance from the WMS. The IE is further away from the WMS, than the CGH is from the WMS, along the path of light. The center of curvature (CoC) of the object under test is also disposed in the path of light, in which the CoC is located a third distance from the WMS. The third distance is larger than the second distance, along the path of light. The IE forms an image of the object under test at the CGH; and the CGH is configured to provide a null wavefront for the image of the object under test at the CGH. The null wavefront is received by the WMS. Moreover, the IE of the optical testing system may include an imaging lens having a planar surface facing away from the CGH and a convex surface facing toward the CGH. The IE may also include an imaging mirror.

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation-in-part of U.S. Nonprovisional application Ser. No. 12/186,667, filed on Aug. 6, 2008, which itself claims priority of U.S. Provisional Patent Application Ser. No. 61/055,326, filed May 22, 2008, the contents of which are incorporated herein by reference. 
    
    
     TECHNICAL FIELD 
     The present invention relates, in general, to the field of optics. More specifically, the present invention relates to systems and methods for testing optical surfaces using computer generated holograms (CGHs). 
     BACKGROUND OF THE INVENTION 
       FIG. 1A  shows an exemplary optical layout of a test set configuration, generally designated as  10 , for testing a primary mirror (PM), for example. The primary mirror  12  is shown as a monolith structure, but may be constructed from multiple mirrors segments that typically require alignment before general use. A test system  11  transmits rays of light  17  toward PM  12 . The rays of light  17  are reflected off PM  12  and returned to test system  11  for aligning the mirror segments of PM  12 . 
     The test system  11  may be seen in greater detail in  FIG. 1B . As shown, test system  11  includes interferometer optics  13  and nulling device  14 . The rays of light  17  are emitted from the optics of the interferometer toward nulling device  14 . The light rays first enter spherical imaging mirror  15  through a first aperture (not shown) and then reflect off aspheric mirror  16  back to the spherical imaging mirror. The light rays  17  exit nulling device  14  through a second aperture (not shown) in aspheric mirror  16 .  FIG. 1B  also shows the PM paraxial focus, which is referred to as a center of curvature (CoC)  18  of the PM. 
       FIG. 1C  shows the test system from front focus  9  of the objective lens to interferometer sensor  3 . Also shown is back focus  7  of the objective lens, which is the entrance port of the interferometer. It will be appreciated that the image is formed at the interferometer sensor, and the PM is treated as the object. The aperture of the internal relay in the interferometer is shown as internal stop  5  of the system and is also the image conjugate to the front focus of the objective lens, where the image of the internal stop has a diameter of approximately 1.5 mm. 
     It will be understood that the imaging of the PM, shown in  FIGS. 1A-1C , is a single pass. In other words, each surface in the ray trace is impinged only once. When performing interferometry all surfaces, except the PM, are impinged twice. This is because the interferometer transmits the light source toward the PM, and receives the same light reflected back from the PM. In this example, images of the PM may be formed at aspheric mirror  16 , objective back focus  7  and sensor  3 . These surfaces are, thus, defined as conjugate to the PM, or the pupil conjugate. 
     Optical surfaces may be calibrated using a computer generated hologram (CGH). For example, the PM surface shown in  FIG. 1A  may be calibrated using the CGH. Furthermore, the optics in the test system, for example, optics in the interferometer and/or optics in the nulling device may be calibrated using a CGH. 
     Referring to  FIG. 2 , ray traces are shown between the objective lens front focus (part of interferometer optics  13 , shown in  FIG. 1B ) and the center of curvature (CoC)  18  of PM  12 . The CGH  19  may be placed at or near the CoC. The CGH is, typically, moved into position to intercept the light arriving from the interferometer during calibration; and typically, is moved out of position, when calibration is completed. 
     The CGH acts as an inverse null lens. The CGH provides light back to the objective lens&#39; front focus  9  without any wavefront variance, if everything is perfect (at 687 nm wavelength, for example). The CoC is usually located outside the caustic to provide easier wavefront mapping. (The caustic ends at the CoC.) The CGH may be located anywhere between the CoC and the PM, but is typically located close to the CoC to keep the radial size of the CGH to a minimum. 
     Thus, during an exemplary calibration performed by the inventor, the PM was replaced with the CGH. The CGH was located between the CoC and the PM (5 mm away from the CoC). The image was analyzed at the interferometer entrance port. As a result of the CGH located 5 mm from the CoC, the CGH was not a pupil conjugate of the interferometer pupil. The interferometer pupil, therefore, was not imaged well back on itself. 
     A conventional CGH used with a nulling device suffers from a reduced capacity to measure middle and high spatial frequencies due to image distortion in the null. Furthermore, it is also the case that a typical CGH null is not optimal, because the CGH is not placed at an image conjugate of the surface under test and interferometer entrance port (an interferometer is the most typically used wavefront measuring system (WMS), but other sensors may also be employed). 
     As will be explained, the present invention includes an improved CGH, also referred to herein as an ICGH. The ICGH includes a lens added to a CGH. By adding the lens to the CGH, the imaging properties of the test system may be greatly improved. In addition, conventional nulling devices, such as nulling device  14 , may be omitted entirely from the test system. Furthermore, a WMS, such as an interferometer, may have good imaging properties not only at low spatial frequencies, but also at middle and high spatial frequencies. Thus, low, middle and high spatial frequency errors in the measurements of the WMS may be minimized. 
     SUMMARY OF THE INVENTION 
     To meet this and other needs, and in view of its purposes, the present invention provides an optical testing system including a computer generated hologram (CGH) and an imaging element (IE), both disposed in a path of light traveling between a wavefront measuring system (WMS) and an object under test. The CGH is located a first distance from the WMS and the IE is located a second distance from the WMS. The second distance is larger than the first distance. Furthermore, the IE forms an image of the object under test at the CGH, and the CGH is configured to provide a null wavefront for the image of the object under test at the CGH. The null wavefront is received by the WMS. 
     A center of curvature (CoC) of the object under test is disposed in the path of light. The CoC is located a third distance from the WMS, and the third distance is larger than the second distance. 
     The WMS may include an interferometer, and an entrance port of the interferometer may be configured to form a pupil image of the object under test. 
     The IE includes an imaging lens having a planar surface facing away from the CGH and a convex surface facing toward the CGH. 
     The object under test includes a surface of a primary mirror, or a surface of a tertiary mirror. 
     The path of light may be formed along an axial dimension, and a collimated beam passes through the CGH and enters an entrance port of the WMS. 
     The CGH includes gratings shaped as rings formed about a center point. The density of the rings increases monotonically as distance increases from the center point. 
     The IE is either an imaging mirror or an imaging lens. When the IE is an imaging mirror, then the CGH reflects light; and when the IE is an imaging lens, then the CGH passes the light. 
     Another embodiment of the present invention is an improved computer generated hologram (ICGH) including a CGH and an imaging element (IE)), both disposed in a path of light traveling between a wavefront measuring system (WMS) and an object under test. The CGH is located a first distance from the WMS and the IE is located a second distance from the WMS. The second distance is larger than the first distance. 
     A center of curvature (CoC) of the object under test is disposed in the path of light. The CoC is located a third distance from the WMS, and the third distance is larger than the second distance. 
     Yet another embodiment of the present invention is a method of testing an optical surface of an object. The method includes the steps of: 
     placing a computer generated hologram (CGH) and an imaging element (IE) in a path of light between a wavefront measuring system (WMS) and the surface of the object; 
     locating the CGH at a first distance from the WMS and the IE at a second distance from the WMS, where the second distance is larger than the first distance; and 
     testing optical properties of the surface of the object by the WMS. 
     The method may further include the steps of: 
     placing a center of curvature (CoC) of the surface of the object in the path of light; and 
     locating the CoC a third distance from the WMS, where the third distance is larger than the second distance. 
     It is understood that the foregoing general description and the following detailed description are exemplary, but are not restrictive, of the invention. For example, the embodiments described herein may be taken as axi-symmetric. One skilled in the art would recognize that an axis may be defined for a non axi-symmetric system, or a system having de-centered components. As another example, reflective or diffractive components (as a lens) may be used as an alternative to refractive components. Such modifications would be within the scope of the present invention. 
    
    
     
       BRIEF DESCRIPTION OF THE FIGURES 
       The invention may be understood from the following detailed description when read in connection with the following figures: 
         FIGS. 1A ,  1 B and  1 C depict an optical test system for testing a surface of a primary mirror in a conventional manner. 
         FIG. 2  is an example of a reflective nulling device, which may be used in the optical path for testing the primary mirror of  FIGS. 1A ,  1 B and  1 C. 
         FIGS. 3A ,  3 B and  3 C depict different views of an optical test system for testing a surface of a tertiary mirror, in accordance with an embodiment of the present invention. 
         FIG. 4  is a diagram depicting another optical test system for testing a surface of a primary mirror, in accordance with an embodiment of the present invention. 
         FIG. 5  is an example of a plot showing the density of rings formed in the gratings of a computer generated hologram (CGH) versus distance from the center of the gratings, in accordance with an embodiment of the present invention. 
         FIGS. 6A ,  6 B and  6 C are examples of concentric ring formations in a substrate of a CGH. 
         FIG. 7  is a diagram depicting yet another optical test system for testing a surface of a tertiary mirror, in accordance with an embodiment of the present invention. 
         FIG. 8  is an example of a system for aligning an imaging lens with a CGH, in accordance with an embodiment of the present invention. 
         FIG. 9  is another example of a system for aligning an imaging lens with a CGH, in accordance with an embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     By using nothing more than an imaging lens in addition to a CGH, the imaging properties of an optical test system are greatly improved by the present invention. Assuming a WMS is designed to have good imaging properties, then middle and high spatial frequency errors in the measurement of the WMS are minimized by the present invention. 
     An example of an improved computer generated hologram (ICGH) is shown in  FIGS. 3A ,  3 B and  3 C. The  FIG. 3A  shows a top view of the ICGH as used in an optical test system. The  FIG. 3B  shows a side view of the same optical test system. The  FIG. 3C  shows a close-up of the same side view illustrated in  FIG. 3B . 
     As shown, the WMS entrance port (for example, the entrance port of an interferometer) is designated as  35 . The optical surface under test is a tertiary mirror (TM) of a telescope, which is shown designated as  31 . Disposed between the tertiary mirror  31  and the WMS entrance port  35  is a CGH  34  and an imaging lens  33 . The combination of CGH  34  and imaging lens  33  forms the ICGH of the present invention, which is shown designated as  38 . 
     The CoC of tertiary mirror  31  is designated as  32 . It will be appreciated that CoC  32  is located to the left of tertiary mirror  31 ; and WMS entrance port  35  is located to the left of CGH  34 , or to the left of ICGH  38 . More precisely, CGH  34  is located closer to WMS entrance port  35  than is imaging lens  33 . Stated differently, imaging lens  33  is located closer to TM CoC  32  than is CGH  34 . 
     It will further be appreciated that in the conventional testing system, shown in  FIGS. 1A ,  1 B,  1 C and  2 , the CGH  19  is moved into position to intercept the light arriving from the interferometer (or the WMS) during calibration of optical testing system  10 ; the CGH, however, is moved out of position, or into a stowed position during testing of the surface under test (such as PM  12 ). In the present invention, on the other hand, as exemplified in  FIGS. 3A ,  3 B and  3 C, the CGH  34 , together with imaging lens  33  are used in the transmission of light from the WMS (shown as WMS entrance port  35 ) to the surface under test (shown as TM  31 ). 
     In addition, in the conventional system, shown in  FIGS. 1A ,  1 B,  1 C and  2 , nulling device  14  is used in the transmission of light to the surface under test. In the present invention, as shown in  FIGS. 3A ,  3 B and  3 C, however, the nulling device is not used at all. Instead, ICGH  38  is used as an improved nulling device. 
     Still referring to  FIGS. 3A ,  3 B and  3 C, it will be appreciated that the light rays transmitted to TM  31  from the WMS (or, in reverse, the light rays reflected from TM 31  and received back at WMS entrance port  35 ), shown in a top view ( FIG. 3A ) and a side view ( FIG. 3B ), do not appear to have the same formation. The appearance is different because testing a tertiary mirror of a telescope is typically performed off-axis, as shown in  FIG. 1B , which depicts the light rays impinging upon a side of tertiary is mirror  31 . 
     Finally, the light rays returned from TM  31  are collimated by ICGH  38  to form a collimated beam, shown designated as  36 . Of course, the light rays transmitted simultaneously from the WMS toward TM  31  also enter CGH  34  of ICGH  38  as a collimated beam, and are also shown designated as  36 . 
     Thus, the reciprocity of light, which simultaneously travels (a) from the WMS to the object under test and (b) from the object under test back to the WMS is shown in  FIGS. 3A ,  3 B and  3 C. 
     It will be appreciated that the optical testing system of the present invention does not include a conventional nulling device, such as the one shown in  FIGS. 1 and 2  as element  14 . The ICGH  38 , because it includes both a CGH and an imaging lens, provides an improved nulling device, which replaces the conventional nulling device  14 . 
       FIG. 4  illustrates another embodiment of an ICGH null. As shown, optical test system  50  includes an object under test, which is a primary mirror (PM) of a telescope, designated as  51 . The CoC of the PM is designated as  52 . The PM is shown illuminated from the front focus of an objective lens, forming a portion of a WMS (see  FIG. 1C ). The objective front focus is designated as  55 . Unlike the previous embodiment of optical testing system  30 , the ICGH null of testing system  50  does not form a collimated beam. Therefore, another lens is required (not shown) for collimating the light traveling toward (or from) the interferometer (not shown). 
     The ICGH null of the present invention is comprised of both CGH  54  and imaging lens  53 . Similar to the ICGH null of  FIG. 3C , the ICGH null of  FIG. 4  includes, in spatial sequence from the WMS to the PM, the CGH and then the imaging lens. 
     The present invention has the following advantages when compared to a conventional CGH with a nulling device: 
     (a) Improved imaging of the object under test is realized at the pupil image of the WMS. 
     (b) Without the imaging lens, pupil image points are not uniformly spaced at the CGH. With the imaging lens the spacing is very uniform at the CGH. This improvement in uniformity substantially reduces the asphericity of the wavefront. The uniformity also produces linearization that helps to calibrate the ICGH write process. Typically, a reference spherical wavefront is encoded onto a CGH and then used to predict distortions in the CGH write process, by testing of the reference spherical wavefront with a WMS. This separate test is typically linear when mapped to the CGH surface (for radial position). To be useful, this data is remapped to the WMS for the primary test calibration. The non-linearity of typical CGH phase encoding without the imaging lens results in an additional non-linear error source in mapping. 
     (c) Another improvement is in the diameter of the CGH. When using the imaging lens of the present invention, the radial size of the pupil image on the CGH is reduced. 
     (d) Another advantage is the reduced density of the grating rings required for the CGH when the imaging lens is used in the present invention. 
     (e) From a software/modeling point of view, the present invention is more accessible. The asphericity of the CGH wavefront without the imaging lens is so great that even-order radial-polynomials (a standard description used in most conventional optical ray trace software) cannot adequately capture it. By contrast, the wavefront (or phase) for the CGH with the imaging lens of the present invention may be created using a Zemax Software Binary 2 surface with a grating described by an even-order radial-polynomial of order  16 . The design residual for the ICGH is as small as 0.1 nanometers root-mean-square (RMS) equivalent test surface. 
     An exemplary wavefront (or phase) for a CGH with an imaging lens of the present invention, created using a Zemax Software Binary 2 surface with a grating described by an even-order radial-polynomial of order  16 , is shown in  FIG. 5 . The negative sloping curve shows the phase in periods and the positive sloping curve shows the periods per mm of the CGH. 
     The gratings of the CGH include rings centered about a point. The rings are less dense at the center of the gratings and become more dense at the outer diameter of the gratings. The monotonic increase in density of the gratings may readily be seen in the curve depicting periods/mm versus distance (mm), plotted in  FIG. 5 . 
     An exemplary CGH is further shown in  FIGS. 6A ,  6 B and  6 C. The CGH  600  includes a flat glass substrate  602  with concentric rings  604  of chrome formed on the flat glass substrate. As shown in  FIG. 6C , a portion of CGH  600  includes ring patterns  608 , which correspond to the curve shown in  FIG. 5 . In general. the diffraction order of a CGH may include a power carrier, a tilt carrier, or any other useful carrier. 
     The following Table 1 is an example of prescription data for optical testing system  30 , shown in  FIGS. 3A ,  3 B and  3 C: 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 System/Prescription Data for Optical Testing System 30. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surf 
                 Type 
                 Radius 
                 Thickness 
                 Glass 
                 Diameter 
                 Conic 
                 Comment 
               
               
                   
               
             
          
           
               
                   
                 SURFACE DATA SUMMARY: 
               
             
          
           
               
                 OBJ 
                 STANDARD 
                 Infinity 
                 Infinity 0.000000, 
                 0.000000 
                 0 
                 0 
                   
               
               
                 1 
                 STANDARD 
                 Infinity 
                  101.6 0.000000, 
                 0.000000 
                 787.4 
                 0 
                   
               
               
                 STO 
                 EVENASPH 
                 1594.924 
                 1594.924 
                   
                 787.4 
                 −3 
                 part under test 
               
               
                 3 
                 STANDARD 
                 Infinity 
                  88.9 
                   
                 50.8 
                 0 
                 paraxial CoC 
               
               
                 4 
                 STANDARD 
                 Infinity 
                  10 
                 F_SILICA 
                 50.8 
                 0 
                 imaging lens 
               
               
                 5 
                 STANDARD 
                  −51.5 
                  104.2689 
                   
                 50.8 
                 0 
                 PLCX-50.8-51.5-UV 
               
               
                 6 
                 BINARY_2 
                 Infinity 
                   6.35 
                 N-BK7 
                 53.0506 
                 0 
                 CGH 
               
               
                 7 
                 STANDARD 
                 Infinity 
                  25 
                   
                 53.4018 
                 0 
                 collimated 
               
               
                 8 
                 PARAXIAL 
                 — 
                  100 
                   
                 55.49773 
                 — 
                   
               
               
                 IMA 
                 STANDARD 
                 Infinity 
                   
                   
                 8.383736 
                 0 
                   
               
             
          
           
               
                   
                 SURFACE DATA DETAIL: 
               
             
          
           
               
                   
                 Surface OBJ: 
                 STANDARD 
               
               
                   
                 Surface 1: 
                 STANDARD 
               
               
                   
                 Aperture:  
                 Rectangular Aperture 
               
               
                   
                 X Half Width:  
                    190.5 
               
               
                   
                 Y Half Width:  
                     88.9 
               
               
                   
                 X- Decenter:  
                     0 
               
               
                   
                 Y- Decenter:  
                    254.9652 
               
               
                   
                 Surface STO:  
                 EVENASPH part under test 
               
               
                   
                 Coeff on r 2: 
                     0 
               
               
                   
                 Coeff on r 4:  
                     0 
               
               
                   
                 Coeff on r 6: 
                     0 
               
               
                   
                 Coeff on r 8:  
                     0 
               
               
                   
                 Coeff on r 10:  
                     0 
               
               
                   
                 Coeff on r 12:  
                     0 
               
               
                   
                 Coeff on r 14:  
                     0 
               
               
                   
                 Coeff on r 16:  
                     0 
               
               
                   
                 Aperture:  
                 Rectangular Aperture, Pickup From Surface 1 
               
               
                   
                 X Half Width:  
                    190.5 
               
               
                   
                 Y Half Width:  
                     88.9 
               
               
                   
                 X- Decenter:  
                     0 
               
               
                   
                 Y- Decenter:  
                    254.9652 
               
               
                   
                 Surface 3:  
                 STANDARD paraxial coc 
               
               
                   
                 Surface 4:  
                 STANDARD imaging lens 
               
               
                   
                 Aperture:  
                 Floating Aperture 
               
               
                   
                 Maximum Radius: 
                     25.4 
               
               
                   
                 Surface 5:  
                 STANDARD PLCX-50.8-51.5-UV 
               
               
                   
                 Aperture:  
                 Floating Aperture 
               
               
                   
                 Maximum Radius: 
                     25.4 
               
               
                   
                 Surface 6:  
                 BINARY_2 CHG 
               
               
                   
                 Diffract Order: 
                     1 
               
               
                   
                 Coeff on r 2:  
                     0 
               
               
                   
                 Coeff on r 4:  
                     0 
               
               
                   
                 Coeff on r 6:  
                     0 
               
               
                   
                 Coeff on r 8:  
                     0 
               
               
                   
                 Coeff on r 10: 
                     0 
               
               
                   
                 Coeff on r 12: 
                     0 
               
               
                   
                 Coeff on r 14: 
                     0 
               
               
                   
                 Coeff on r 16: 
                     0 
               
               
                   
                 Maximum term:  
                     8 
               
               
                   
                 Maximum rad ap: 
                     25.4 
               
               
                   
                 Term on P to 2: 
                  −4344.0933 
               
               
                   
                 Term on P to 4: 
                 −15112.059 
               
               
                   
                 Term on P to 6: 
                  −9959.8661 
               
               
                   
                 Term on P to 8: 
                   16307.213 
               
               
                   
                 Term on P to 10: 
                 −15845.925 
               
               
                   
                 Term on P to 12: 
                 −19313.77 
               
               
                   
                 Term on P to 14: 
                   42211.825 
               
               
                   
                 Term on P to 16: 
                 −17261.04 
               
               
                   
                 Surface 7:  
                 STANDARD collimated 
               
               
                   
                 Surface 8:  
                 PARAXIAL 
               
               
                   
                 Focal length:  
                    100 
               
               
                   
                 OPD Mode:  
                     1 
               
               
                   
                 Surface IMA:  
                 STANDARD 
               
               
                   
               
             
          
         
       
     
     With reference to Table 1, surface  3  is the paraxial center of curvature (CoC) of TM  31 . Surfaces  4  and  5  are the two opposing surfaces of imaging lens  33 . The surface closer to the CoC  32 , namely surface  4 , is flat. The surface further from CoC  32 , namely surface  5 , has a negative radius and is convex. The thickness dimensions are the distances in mm between a respective surface and the next surface. The CGH  34  is surface  6  (binary  2 ). 
     The following Table 2 is an example of prescription data for optical testing system  50 , shown in  FIG. 4 : 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 System/Prescription Data for Optical Testing System 50. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surf 
                 Type 
                 Radius 
                 Thickness 
                 Glass 
                 Diameter 
                 Conic  
                 Comment 
               
               
                   
               
             
          
           
               
                   
                 SURFACE DATA SUMMARY: 
               
             
          
           
               
                 OBJ 
                 STANDARD 
                 Infinity 
                 Infinity 0.000000, 
                 0.000000 
                 0 
                 0 
                   
               
               
                 1 
                 STANDARD 
                 Infinity 
                  101.6 0.000000, 
                 0.000000 
                 787.4 
                 0 
                   
               
               
                 STO 
                 EVENASPH 
                 1594.924 
                 1594.924 
                   
                 787.4 
                 −1 
                 part under test 
               
               
                 3 
                 STANDARD 
                 Infinity 
                  88.9 
                   
                 50.8 
                 0 
                 paraxial CoC 
               
               
                 4 
                 STANDARD 
                 Infinity 
                  10 
                 F_SILICA 
                 50.8 
                 0 
                 imaging lens 
               
               
                 5 
                 STANDARD 
                  −51.5 
                  104.2689 
                   
                 50.8 
                 0  
                 PLCX-50.8-51.5UV 
               
               
                 6 
                 BINARY_2 
                 Infinity 
                   6.35 
                 N-BK7 
                 52.26448 
                 0 
                 CGH 
               
               
                 7 
                 STANDARD 
                 Infinity 
                  200 
                   
                 51.19654 
                 0 
                   
               
               
                 IMA 
                 STANDARD 
                 Infinity 
                   
                   
                 3.584793e−005 
                 0 
                 — 
               
             
          
           
               
                   
                 SURFACE DATA DETAIL: 
               
             
          
           
               
                   
                 Surface OBJ:  
                 STANDARD 
               
               
                   
                 Surface 1:  
                 STANDARD 
               
               
                   
                 Surface STO:  
                 EVENASPH part under test 
               
               
                   
                 Coeff on r 2: 
                     0 
               
               
                   
                 Coeff on r 4: 
                     0 
               
               
                   
                 Coeff on r 6: 
                     0 
               
               
                   
                 Coeff on r 8: 
                     0 
               
               
                   
                 Coeff on r 10: 
                     0 
               
               
                   
                 Coeff on r 12: 
                     0 
               
               
                   
                 Coeff on r 14: 
                     0 
               
               
                   
                 Coeff on r 16: 
                     0 
               
               
                   
                 Surface 3:  
                 STANDARD paraxial coc 
               
               
                   
                 Surface 4:  
                 STANDARD imaging lens 
               
               
                   
                 Aperture:  
                 Floating Aperture 
               
               
                   
                 Maximum Radius: 
                     25.4 
               
               
                   
                 Surface 5:  
                 STANDARD PLCX-50.8-51.5-UV 
               
               
                   
                 Aperture:  
                 Floating Aperture 
               
               
                   
                 Maximum Radius: 
                     25.4 
               
               
                   
                 Surface 6:  
                 BINARY_2 CHG 
               
               
                   
                 Diffract Order: 
                     1 
               
               
                   
                 Coeff on r 2: 
                     0 
               
               
                   
                 Coeff on r 4: 
                     0 
               
               
                   
                 Coeff on r 6: 
                     0 
               
               
                   
                 Coeff on r 8: 
                     0 
               
               
                   
                 Coeff on r 10: 
                     0 
               
               
                   
                 Coeff on r 12: 
                     0 
               
               
                   
                 Coeff on r 14: 
                     0 
               
               
                   
                 Coeff on r 16: 
                     0 
               
               
                   
                 Maximum term: 
                     8 
               
               
                   
                 Maximum rad ap: 
                     25.4 
               
               
                   
                 Term on P to 2: 
                 −20003.254 
               
               
                   
                 Term on P to 4: 
                  −4825.6048 
               
               
                   
                 Term on P to 6: 
                  −1268.0607 
               
               
                   
                 Term on P to 8: 
                    436.23087 
               
               
                   
                 Term on P to 10: 
                    354.31763 
               
               
                   
                 Term on P to 12: 
                  −512.26436 
               
               
                   
                 Term on P to 14: 
                    220.54533 
               
               
                   
                 Term on P to 16: 
                   −33.48613 
               
               
                   
                 Surface 7:  
                 STANDARD 
               
               
                   
                 Surface IMA:  
                 STANDARD − 
               
               
                   
               
             
          
         
       
     
     Referring next to  FIG. 7 , an alternate embodiment of the present invention is shown as optical testing system  80 . The object under test is the same tertiary mirror (TM) shown in  FIG. 3A . The CoC of the TM is designated as  81 . The CGH, designated as  82 , is reflective and a spherical imaging mirror  83  is used in place of a refractive lens. The objective focus of the WMS is shown as point  84 . 
     The function of spherical mirror  83  is the same as the function for the refractive lens; the spherical mirror images the TM onto the CGH (which in this example is used in reflection). In general, the ICGH null may use reflective components, refractive components, diffractive components, or any combination thereof. Thus, the imaging lens shown in  FIGS. 3 and 4 , namely elements  33  and  53 , respectively, are imaging lenses and are light transmitting in nature. The imaging mirror, on the other hand, is light reflecting in nature. In general, the imaging lenses shown in  FIGS. 3 and 4  and the imaging mirror shown in  FIG. 7  are also referred to herein as an imaging element (IE). 
     In operation, light is reflected from the TM back to CoC  81 , as shown in  FIG. 7 . Light then passes to imaging mirror  83  which reflects the same light toward CGH  82 . Finally the CGH  82 , which is reflective, reflects the light back toward the WMS and becomes the WMS objective focus at point  84 . Similarly, light radiating from a source, forming a portion of the WMS, is transmitted from the WMS objective focus  84  to the reflective CGH  82 . The light is then reflected off the CGH toward imaging mirror  83 . Then the light is reflected from imaging mirror  83  toward the TM, which includes CoC  81 . Thus, the light traverses both directions between the WMS and the object under test. Because of the requirements for reflection from the imaging mirror and reflection from the CGH, the optical test system  80  is arranged in a zig-zag (or non-axial) manner. 
     Table 3 is an example of prescription data for optical testing system  80 , shown in  FIG. 7 . 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
               
               
               
               
               
             
               
               
             
               
               
               
             
           
               
                 TABLE 3 
               
               
                   
               
               
                 System/Prescription Data for Optical Testing System 80. 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surf 
                 Type 
                 Radius 
                 Thickness 
                 Glass 
                 Diameter 
                 Conic 
                 Comment 
               
               
                   
               
             
          
           
               
                   
                 SURFACE DATA SUMMARY: 
               
             
          
           
               
                 OBJ 
                 STANDARD 
                 Infinity 
                 Infinity 0.000000, 
                 0.000000 
                 0 
                 0 
                   
               
               
                 1 
                 STANDARD 
                 Infinity 
                 101.6 0.000000, 
                 0.000000 
                 787.4 
                 0 
                   
               
               
                 STO 
                 EVENASPH 
                 1594.924 
                   1594.924 
                   
                 787.4 
                 −3 
                 part under test 
               
               
                 3 
                 STANDARD 
                 Infinity 
                    180 
                   
                 50.8 
                 0 
                 paraxial CoC 
               
               
                 4 
                 STANDARD 
                 −202 
                  −104.2689 
                 MIRROR 
                 50.8 
                 0 
                 spherical mirror 
               
               
                 5 
                 BINARY_2 
                 Infinity 
                    105 
                 MIRROR 
                 47.30527 
                 0 
                 CGH 
               
               
                 IMA 
                 STANDARD 
                 Infinity 
                   
                   
                 0.001051668 
                 0 
                 collimated 
               
             
          
           
               
                   
                 SURFACE DATA DETAIL: 
               
             
          
           
               
                   
                 Surface OBJ: 
                 STANDARD 
               
               
                   
                 Surface 1: 
                 STANDARD  
               
               
                   
                 Aperture: 
                 Rectangular Aperture  
               
               
                   
                 X Half Width: 
                    190.5  
               
               
                   
                 Y Half Width: 
                     88.9 
               
               
                   
                 X- Decenter: 
                     0  
               
               
                   
                 Y- Decenter: 
                    254.9652 
               
               
                   
                 Surface STO:  
                 EVENASPH part under test 
               
               
                   
                 Coeff on r 2: 
                     0 
               
               
                   
                 Coeff on r 4: 
                     0 
               
               
                   
                 Coeff on r 6: 
                     0 
               
               
                   
                 Coeff on r 8: 
                     0 
               
               
                   
                 Coeff on r 10: 
                     0 
               
               
                   
                 Coeff on r 12: 
                     0 
               
               
                   
                 Coeff on r 14: 
                     0 
               
               
                   
                 Coeff on r 16: 
                     0 
               
               
                   
                 Aperture: 
                 Rectangular Aperture, Pickup From Surface 1 
               
               
                   
                 X Half Width: 
                    190.5 
               
               
                   
                 Y Half Width: 
                     88.9 
               
               
                   
                 X- Decenter: 
                     0 
               
               
                   
                 Y- Decenter: 
                    254.9652 
               
               
                   
                 Surface 3: 
                 STANDARD paraxial coc 
               
               
                   
                 Surface 4: 
                 STANDARD spherical mirror 
               
               
                   
                 Mirror Substrate: 
                 Curved, Thickness = 1.01600 E+000 
               
               
                   
                 Aperture: 
                 Rectangular Aperture 
               
               
                   
                 X Half Width: 
                     25.4 
               
               
                   
                 Y Half Width: 
                     9 
               
               
                   
                 X- Decenter: 
                     0 
               
               
                   
                 Y- Decenter: 
                   −17 
               
               
                   
                 Surface 5:  
                 BINARY_2 CHG 
               
               
                   
                 Mirror Substrate: 
                 Curved, Thickness = 9.46105 E−001 
               
               
                   
                 Diffract Order: 
                     1 
               
               
                   
                 Coeff on r 2: 
                     0 
               
               
                   
                 Coeff on r 4: 
                     0 
               
               
                   
                 Coeff on r 6: 
                     0 
               
               
                   
                 Coeff on r 8: 
                     0 
               
               
                   
                 Coeff on r 10: 
                     0 
               
               
                   
                 Coeff on r 12: 
                     0 
               
               
                   
                 Coeff on r 14: 
                     0 
               
               
                   
                 Coeff on r 16: 
                     0 
               
               
                   
                 Maximum term: 
                     8 
               
               
                   
                 Maximum rad ap: 
                     25.4 
               
               
                   
                 Term on P to 2: 
                  −5050.9594 
               
               
                   
                 Term on P to 4: 
                 −26157.97 
               
               
                   
                 Term on P to 6: 
                    2272.9508 
               
               
                   
                 Term on P to 8: 
                  −3906.3609 
               
               
                   
                 Term on P to 10: 
                    3699.4226 
               
               
                   
                 Term on P to 12: 
                  −3920.1861 
               
               
                   
                 Term on P to 14: 
                    4023.1714 
               
               
                   
                 Term on P to 16: 
                  −1416.6821 
               
               
                   
                 Aperture: 
                 Rectangular Aperture, Pickup From Surface 4 
               
               
                   
                 X Half Width: 
                     25.4 
               
               
                   
                 Y Half Width: 
                     9 
               
               
                   
                 X- Decenter: 
                     0 
               
               
                   
                 Y- Decenter: 
                   −17 
               
               
                   
                 Surface IMA: 
                 STANDARD collimated 
               
               
                   
               
             
          
         
       
     
     To use the ICGH null effectively, the imaging lens is precisely aligned with respect to the CGH. Examples of features that aid in this alignment are shown in  FIG. 8 . If imaging lens  92  is designed with a plano surface facing away from CGH  93  then an auto collimator, or interferometer  91  may be used to precisely set the tilt of the plano surface with respect to the CGH, by observing both the imaging lens and the CGH simultaneously (observed from the left of the figure). 
     If a tilt error is present, auto collimator  91  sees return spots (one spot from the imaging lens and one spot from the CGH) that are separated, as shown on the left side of  FIG. 8 . After alignment, when the tilt error is reduced to a minimal value, the auto collimator sees the return spots as coincident spots. 
     If a spherical wavefront is encoded in the CGH surface (for example, in the outer radial or azimuthal zones of the surface), such that the wavefront impinging the curved surface of the imaging lens is normal (by design), then the decenter and despace of the lens relative to the CGH may be set using an interferometer located to the right of the ICGH (namely, imaging lens  92  and CGH  93 ), as shown in  FIG. 9 . The observer-interferometer camera  94  sees tilt fringes due to a decenter error, as depicted in camera image  94   a . The camera sees power fringes due to a despace error, as shown in camera image  94   b . The camera sees both, tilt and power fringes due to decenter and despace errors, as shown in camera image  94   c . The camera sees a flat fringe, after alignment, as shown in camera image  94   d.    
     The spherical encoded wavefront may be a completely separate feature from the CGH alignment feature previously described (or may be the same, for example, the same grating in a different diffraction order). Reflective patches  98  on the imaging lens may boast the reflected signal if needed. The surface quality, thickness and index of refraction of the imaging lens may be determined prior to assembly by a number of standard means. Ideally, the imaging lens and CGH are in a common mount that allows for precise shear and rotation of the ICGH with respect to the WMS optical axis, so that ICGH and WMS errors may be separated using multi orientation testing. 
     Although the invention is illustrated and described herein with reference to specific embodiments, the invention is not intended to be limited to the details shown. Rather, various modifications may be made in the details within the scope and range of equivalents of the claims.