Abstract:
Disclosed is a light collimating system for mounting at the primary focus of a Schmidt-Cassegrain telescope (SCT) in place of the secondary mirror. The system comprises a housing containing a plurality of lens elements optimized to reduce optical aberrations. The resulting system has a focal ratio of approximately f/2, a short exposure time for optical imaging, and a wide field of view with very little distortion. The housing is attached to the corrector plate of the SCT by a pair of rings held together by a plurality of screws that further facilitate the alignment and rotation of the light collimating system.

Description:
CROSS REFERENCE TO RELATED APPLICATION 
       [0001]    This application claims priority from U.S. Provisional Application Ser. No. 60/892,815, filed Mar. 2, 2007, the contents of which are incorporated herein by reference. 
     
    
     FIELD OF THE INVENTION 
       [0002]    This invention relates generally to optical imaging systems, and more particularly to improvements in wide field of view optical systems having a Schmidt-Cassegrain configuration. 
       BACKGROUND OF THE INVENTION 
       [0003]    Schmidt and Schmidt-Cassegrain optical design systems are well known methods of achieving wide field of view optical imaging which are particularly desirable because they use primarily reflective elements. In a Schmidt system, a reflective spherical mirror focuses energy from a scene of interest onto a spherical focal surface. To correct for spherical aberration introduced by the spherical mirror, an aspheric refractive corrector plate (“Schmidt plate”) is placed at the center of curvature of the spherical mirror. Because of its simplicity, a Schmidt system is relatively easily aligned. 
         [0004]    In a Schmidt-Cassegrain system, a second curved reflective element is placed between the primary spherical mirror and the focal surface of a simple Schmidt system, in order to produce an optical system which has a flat focal plane and is more compact, and which retains the basic correction capacity and other advantages of the Schmidt system. 
         [0005]    A basic Schmidt-Cassegrain telescope is illustrated in  FIG. 1 . While there are many variations, (both mirrors spherical, both mirrors aspherical, or one of each) they can be divided into two principal design forms: compact and non-compact. In the compact form, the corrector plate is located at or near the focus of the primary mirror. In the non-compact, and as shown in  FIG. 1 , the corrector plate  42  remains at or near the center of curvature (twice the focal length) of the primary mirror  40 . 
         [0006]    One very well-constructed design example would be the concentric (or monocentric) Schmidt-Cassegrain, where all the mirror surfaces and the focal surface are concentric to a single point: the center of curvature of the primary. Optically, non-compact designs often yield better aberration correction and a flatter field than a compact design, but at the expense of longer tube length. 
         [0007]    Schmidt-Cassegrain telescopes have several limitations. First, higher order (oblique) spherical aberration will limit the field of view which can be utilized without image degradation, even if monochromatic light is used. Second, at narrower fields of view, the image quality is limited by spherochromatism (spherical aberration caused by variation of wavelength in the incident light), which can be reduced by addition of a second plate of different material (an “achromatic corrector plate”) at the center of curvature of the spherical mirror. 
         [0008]    In a number of applications requiring broader spectral coverage, the difficulty in correcting chromatic aberration, and the limitations in materials tend to reduce the effectiveness of the Schmidt plate correction concept. As a result, systems requiring broad band coverage and wide field of views have tended to use purely reflective designs (which eliminate the problem of chromatic aberration). Some of these systems use the Schmidt principle, with the aspheric deformation applied to a mirror, rather than to refractive plate. These systems generally involve off-axis apertures and/or off-axis fields of view, resulting in relatively larger system sizes. In all cases however, the aspheric surface has been rotationally symmetric, whether placed on a flat or curved folding mirror. For a detailed description of these prior design concepts, see I. R. Abel and M. R. Hatch, “The Pursuit of Symmetry in Wide-Angle Reflective Optical Design,” Proc. 1980 International Lens Design Conference, SPIE Vol. 237, p. 271 (1980). 
         [0009]    The foregoing discussion of the prior art derives primarily from U.S. Pat. No. 4,576,452 which proposes to utilize in a reflective Schmidt or Schmidt-Cassegrain system configuration a corrector mirror in the form of a tilted nonrotationally symmetric aspherized mirror placed between the optical system and the target of interest, generally at or near the center of curvature of the primary focusing mirror. According to the inventors, the corrector mirror encodes both the correction for traditional aberrations associated with the Schmidt designs, as well as the wavefront error introduced by tilting the fold mirror. 
         [0010]    One way to enlarge the field of view is to use a camera with a larger sensor, but these are very expensive. Another way is to use a telescope with a shorter focal length, such as a refractor, but these are generally much smaller telescopes. Further, high quality refractor telescopes suitable for imaging can be quite expensive, and their smaller apertures restrict the resolution and limiting magnitude of the system. Finally, the focal ratio of a small refractor is typically f/5 to f/7, but still long enough to require an equatorial mount and guide camera. 
         [0011]    Even with a larger sensor in the camera, there are many potential issues remaining. For instance, many telescopes do not produce sharp stars very far off axis. Most SCTs experience coma, and all SCTs have field curvature. Thus, while the field of view might be reasonably large with a big sensor, the star images will not be ideal. 
         [0012]    The amount of sky one can capture in an image is partially dependent on the focal length of the telescope used and the size of the sensor in the camera. A big field of view is a definite advantage because most deep-sky objects are quite large. 
         [0013]    One solution is to collect image data at the focal point of the primary mirror (prime focus). A typical Schmidt-Cassegrain telescope uses a primary mirror which has a focal ratio of around f/2 and a secondary mirror which provides a 5× magnification, yielding an overall focal ratio of f/10. Because of the focal length, the amount of exposure time required to collect enough light for a useful image necessitates polar alignment and the guiding of the SCT to follow the target across the sky as the earth rotates. Removal of the secondary mirror converts the telescope to a focal ratio of approximately f/2. Because the exposure time required for this focal length is much shorter, the telescope does not need to be polar aligned, nor is guiding necessary. The magnification lost in the secondary mirror is not useful for viewing unresolved objects such as stars. 
         [0014]    U.S. Pat. No. 6,857,265 suggests collecting data at the prime focus of a telescope. The system used in this prior art reference is large and complex, being designed primarily for very large telescopes. Because of the large size and weight, the system includes an adjustment mechanism to correct the relative position of the apparatus as the telescope moves. This adjustment mechanism, which comprises a series of six jacks called a Stewart platform, adds to the complexity of the system. 
         [0015]    Moreover, the prior art includes no means for correcting optical aberrations that may occur as a result of the primary mirror. Removal of the secondary mirror, without providing a corrective lens, produces very poor images at the prime focus. The primary mirror alone generally suffers from spherical aberration and field curvature which is normally minimized by the secondary mirror. 
       SUMMARY OF THE INVENTION 
       [0016]    The present invention provides light collimating optical system which replaces the secondary mirror at the front end of a Schmidt-Cassegrain telescope (SCT). The optical system of the present invention, as seen in  FIG. 2 , comprises multiple lens elements that may be customized for a specific Schmidt-Cassegrain design contained within a housing having a simple alignment design. Moreover, these lens elements correct the inherent aberrations in the telescope, allowing focal ratios of approximately f/2 or f/1.8 with a highly-corrected field of view. 
         [0017]    The present invention works with Schmidt-Cassegrain telescopes and is particularly well-suited for such telescopes in which the secondary mirror may be easily removed and replaced with the apparatus of the present invention. 
         [0018]    One advantage of the present invention is the increased field of view. The optical system of the present invention corrects for aberrations such as coma and field curvature, producing a very wide field of view with very sharp stars across the entire field. The result is a wider field of view, even with a small camera, and finer star images. 
         [0019]    Another advantage of the present invention is the potential for unguided imaging. Long exposures usually require a telescope to be guided due to inherent tracking errors in the drive. This requires a second camera or self-guiding camera and often other hardware such as a guidescope. Because the necessary exposure time is much lower for telescopes equipped with the light collimating system of the present invention, guiding, and related hardware are not required. In addition, the present invention makes it possible to image with a telescope in alt-azimuth mode. This means it is possible to capture deep-sky images with a fork-mounted SCT without the need for an equatorial wedge. In addition to cost, this saves the trouble of mounting the scope on a wedge and having to polar align the telescope. 
     
    
     
       DESCRIPTION OF THE DRAWINGS 
         [0020]    Further features and advantages of the present invention will be seen from the following detailed description, taking in conjunction with the accompanying drawings, wherein: 
           [0021]      FIG. 1  schematically illustrates a conventional Schmidt-Cassegrain telescope; 
           [0022]      FIG. 2  schematically illustrates a Schmidt-Cassegrain telescope with a light collimating system of the present invention mounted thereon; 
           [0023]      FIG. 3  is a cross-sectional view of the light collimating system of the present invention; 
           [0024]      FIG. 4  is an illustration of the light collimating system of the present invention showing external screws used to align the system; 
           [0025]      FIGS. 5A and 5B  are end and side cross-sectional views of a mounting ring element; 
           [0026]      FIGS. 6A and 6B  are end and side cross-sectional views of an adapter ring element; 
           [0027]      FIG. 7  is a view of the several optical elements making up the light collimating system according to one embodiment of the present invention; 
           [0028]      FIGS. 8A and 8B  are end and side cross-sectional views of the housing element; 
           [0029]      FIGS. 9A and 9B  are end and side cross-sectional views of a primary lens retainer element; 
           [0030]      FIGS. 10A and 10B  are end and side cross-sectional views of a secondary lens retainer of the present invention; 
           [0031]      FIGS. 11A and 11B  are end and side cross-sectional views of a retainer ring element; 
           [0032]      FIG. 12  is an illustration of a counterweight used in connection with the light collimating system of the present invention; 
           [0033]      FIG. 13  is an illustration of a charge-coupled device camera installed with the light collimating system of the present invention; 
           [0034]      FIG. 14  is a side cross-sectional view of a filter and spacer according to an alternative embodiment of the present invention; 
           [0035]      FIG. 15  is a cross-sectional view of the light collimating system in accordance with one embodiment of the present invention; and 
           [0036]      FIG. 16  is a cross-sectional view of the light collimating system in accordance with one embodiment of the present invention. 
       
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS 
       [0037]    The present invention provides a light collimating system that replaces the secondary mirror at the primary focus of a Schmidt-Cassegrain telescope (SCT). A key to the present invention involves a simple, easy to use, adjustable collimating lens assembly that permits both rotational and tilt adjustments to correct alignment errors. 
         [0038]    Referring to the  FIGS. 3 and 4 , a light collimating system includes a housing  8  in which is mounted an optical lens assembly as will be described in detail later. The housing  8  comprises a generally conically-shaped body rotatably mounted in an adapter ring  5 . Adapter ring  5  in turn is mounted to a mounting ring  1  via pull screws  20  that extend through holes  27  in adapter ring  5  where they are threadedly mounted into threaded holes  28  in mounting ring  1 , which are shown in detail in  FIGS. 5A ,  5 B,  6 A and  6 B. 
         [0039]    Referring in particular to  FIG. 4 , pull screws  20  are located on a periphery of adapter ring  5  spaced 120° apart. The adapter ring is shown in detail in  FIGS. 6A and 6B . Push screws  22  are located adjacent pull screws  20 . Push screws  22  are threadedly mounted in holes  23  (see  FIG. 6B ) in adapter ring  5  and are also spaced 120 degrees around the periphery of adapter ring  5 . Push screws  22  and pull screws  20  are adjusted in tandem, providing a simple means for aligning the axis of the light collimating system with that of the primary mirror. 
         [0040]    A third set of fixing screws  24  are threadedly mounted into holes  25  in adapter ring  5 , located on the periphery of adapter ring  5  and equi-spaced between pull screws  20  (see  FIGS. 6A and 6B ). Each fixing screw  24  includes a head  26  that is sized to contain a bushing  28  that in turn is sized and shaped to bear down on a flange  15  formed integrally at the proximal end of housing  8  when fixing screw  24  is screwed down. Fixing screws  24  permit rotational alignment of the housing  8  of the light collimating system. Alternatively, the housing may be constructed of two portions wherein only an upper portion of the housing is permitted to rotate. 
         [0041]    The light collimating system includes a series of lens elements for correcting optical aberrations. Some of these aberrations are normally corrected by the spherical secondary mirror. As shown in  FIG. 7 , the series of lens elements will be arranged concentrically and will generally include a doublet  7 , comprising two lenses A, B of two different materials that are bonded together to form a single lens, a second lens element  3 , and a third lens element  6 . 
         [0042]    The achromatic doublet  7  corrects for chromatic aberration caused by difference in refractive index for different wavelengths of light. The doublet is bonded together using suitable cements known in the relevant art, such as NORLAND  61 . One of the air-glass surfaces of the doublet may be a flat surface and at least one of the surfaces will be concave. Lenses  71  and  72 , forming the doublet, will usually have the same diameter. Doublet  7  is held in place between first retainer ring  9 , which and first shelf  12 , formed on the inner wall of the housing  8 . The housing is shown in detail in  FIGS. 8A and 8B  and the first retainer ring is shown in detail in  FIGS. 9A and 9B . 
         [0043]    The second lens element  3  further collimates the light after it passes through the doublet and is usually a meniscus lens constructed of a third material. The concave side of the second lens element  3  is beveled flat at the edges to rest against spacer  2  (as shown in  FIG. 3 ). The second lens element  3  is also held in place on the convex side by second retainer ring  4 . The second retainer ring is shown in detail in  FIGS. 10A and 10B . 
         [0044]    The third lens element  6  focuses the light into the charge-coupled device (CCD) camera. The third lens element  6  may be a bi-convex lens or maybe comprised of a doublet formed of two lenses of different materials, similar to doublet  7 , save that both air-glass surfaces are convex. The third lens element  6  lens is held in place between spacer  2  and a second shelf  14  of housing  8 . The spacer is shown in detail in  FIGS. 11A and 11B . One or both surfaces of the third lens element  6  may include flat beveled portions at the edges for convenience of assembly with the spacer and housing second shelf. 
         [0045]    The air-glass surfaces of all lens elements should be coated with an anti-reflective material to minimize further aberrations. As shown in  FIG. 7 , the light collimating system may also include a filter  35  and a glass window  38  between the bi-convex lens and the CCD camera. Moreover, additional lenses may be included to further correct the light before entering the CCD camera if required for a particular SCT design. 
         [0046]    Depending on the size and design of the telescope, the focal ratio of the telescope with the light collimating system of the present invention installed will be between f/1.8 and f/2.0. With the light collimating system of the present invention installed, high quality images may be obtained up to 31 times faster than imaging at a typical focal ratio of f/10. 
         [0047]    Removing the secondary mirror and installing the light collimating system is very simple according to the present invention. First, the user points the telescope up at about a 45° angle. If using an equatorial mount, the user will simply put the telescope in the normal home position. This position keeps the mirror and lenses from falling out during installation. The user should tighten the clutches to hold the telescope in place. 
         [0048]    The secondary mirror is easily removed from the corrector plate at the front of the telescope and placed into a holder for protection. The light collimating system lens is then threaded onto the front of the telescope in place of the secondary mirror. The charge-coupled device (CCD) camera  30  is threaded onto the light collimating system. See  FIG. 13 . If desired, the orientation of the camera can be changed by loosening slightly the three fixing screws  24 , turning the camera to the desired orientation, and retightening the screws. For larger SCTs, e.g., at least 14 inches, the system is compatible with digital single-lens reflex cameras (SLRs). A counterweight  28  is installed at the back of the telescope to balance the weight of the light collimating system and camera. See  FIG. 12 . 
         [0049]    Usually, most SCTs are equipped with a large retaining ring from the front of the telescope which must be removed before the secondary mirror assembly can be removed and placed in the protective holder. The large retaining ring may then be threaded onto the protective holder to prevent the secondary mirror from falling out. The secondary mirror is indexed such that when it is replaced in the telescope, collimation is retained and no adjustments are necessary. 
         [0050]    The telescope must then be balanced properly to avoid problems during imaging or pointing of the telescope. On a fork-mounted telescope, the counterweight is slid either front to back or back to front to balance the scope. On a German equatorial mount, the optical tube itself is repositioned for balance. 
         [0051]    With the light collimating system installed, pointing of the telescope is done using the computer. The camera is run in a low-resolution mode that takes and downloads a new image every second or two. In this way you get an almost real-time view of where the telescope is pointing. Focusing with light collimating system is easy and can be done manually or automatically. 
         [0052]    Finding the desired object is also simplified by the present invention. Images may be taken every few seconds and loaded to the computer screen. With just a 1-second exposure, the light collimating system with a typical CCD camera is sensitive enough to allow the camera to pick up almost any deep sky object. In the case of an extremely faint target, the exposure may have to be increased to 5 seconds. Once the object has been located by the telescope, the target object can be framed as desired by either moving the telescope with the directional buttons on the hand control or by rotating the camera using the fixing screws. 
         [0053]    Collimating adjustments need only be made if there is a noticeable coma effect (flaring of the star images to one side) on one edge or corner of the field while the rest of the stars appear sharp. This implies the primary mirror is slightly tilted and not perfectly aligned with the optical axis of the light collimating system. This is normally compensated for by adjusting the secondary mirror, but with the mirror removed the coma effect is diminished by properly aligning the light collimating system. This is done by taking a single short exposure of a star field and then by simply adjusting one set of the push screws  22  and pull screws  20 . This will tip one side of the light collimating system outward. A second image will reveal if the collimation was successful. If no improvement is seen, a different pair of push and pull screws should be adjusted. It may be necessary to refocus during adjustment to see the best results. 
         [0054]    A variety of cameras will work with the light collimating system, but there are some limitations. The camera cannot be too large or it will obstruct too much of the telescope aperture. Thus it follows that, larger telescopes can use larger cameras. Also, the size of the sensor that can be fully illuminated by the light collimating system is dependent on the size of the telescope. Larger scopes allow larger lens elements to be used in the light collimating system, allowing bigger sensors to be illuminated. 
         [0055]    Imaging with a one-shot color model eliminates the need to take individual red, green, and blue-filtered exposures to create a color image. The color rendition obtained from a one-shot color camera is very accurate. While color cameras tend to be less sensitive than monochrome models, there are two aspects of the present invention that make this difference less significant. First, the total time spent imaging is not increased because the color camera does not require as many images. Second, and most importantly, is that the exposure times are so short with the light collimating system that any overall time difference is minimized. Even where narrowband imaging is desired to provide greater detail, exposures are still only a few minutes long, instead of the hours it might take with a much slower system. 
         [0056]    Flat field images are not generally required with the light collimating system, but may be useful to remove vignetting that may occur due to the fast focal ratios. 
         [0057]    It is possible to use a filter, such as a 1.25 inch Hydrogen-Alpha (H-alpha) or Light Pollution Reduction (LPR) filter  35 , with the light collimating system. Referring to  FIG. 14 , the filter is placed inside a camera spacer  32  and rests on the second shelf  14  retaining the third lens element  6  in the light collimating system. The threads should point toward the CCD camera for correct orientation. It is important to note that systems with very fast focal ratios usually require a wider bandpass than narrowband filters. 
         [0058]    The invention is described below in reference to installation on commercially available Schmidt-Cassegrain telescopes (SCTs) with readily replaced secondary mirrors. The lenses are preferably customized for each specific design as slight differences in design, such as the primary mirror, must be compensated for in the lenses of the present invention. 
       Example 1 
       [0059]    The present invention was optimized and assembled with an 14 inch CELESTRON® SCT and is shown in  FIG. 7 . The optical assembly comprised four lenses, a filter, and a flat glass window. The first lens  71  is biconcave and the second lens  72  is plano-convex. Lenses  71  and  72  are bonded together forming a doublet. Lens A includes a flat bevel  77  on the weaker face for resting against the first retainer ring. Line  70  indicates the position relative to the corrector plate of the SCT. Middle lens  3  is a negative meniscus lens with a flat beveled edge  75  having 0.5 mm wide. Final lens  6  is a bi-convex lens with a flat beveled edge  78  having 0.5 mm wide. The materials from which each lens is made and the radius of each lens surface is listed in Table 1. The distance from the front surface of lens  71  to the CCD camera is 65.8 mm. Attaching the light collimating system to the 11 inch CELESTRON® SCT reduces the focal ratio from f/11 to f/1.9. Equivalent exposure times were reduced by a factor of 28. When used with a CANON EOS® 20 Da camera, the field of view covered 1.91°×1.27° with a resolution of 1.95 arc-seconds/pixel. 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 Light Collimating System Lenses for 
               
               
                 the 14 inch CELESTRON ® SCT 
               
             
          
           
               
                 Lens 
                 Radius 
                 Thickness 
                 Diameter 
                 Material 
               
               
                   
               
             
          
           
               
                 Lens 71 
                 −334.7°; 106.45° 
                 8 
                 mm 
                 88 mm 
                 S-BSL7 
               
               
                 Lens 72 
                 106.45°; infinity 
                 13 
                 mm 
                 86 mm 
                 S-TIM2 
               
               
                 Middle Lens 3 
                 129.46°; 71.94° 
                 6 
                 mm 
                 68 mm 
                 S-TIH4 
               
               
                 Final Lens 6 
                 106.45°; −238° 
                 11 
                 mm 
                 62 mm 
                 S-BSL7 
               
               
                   
               
             
          
         
       
     
       Example 2 
       [0060]    The present invention was optimized and assembled with an 8 inch CELESTRON® SCT. The optical assembly comprised five lenses, a filter, and a flat glass window. As shown in  FIG. 15 , the first lens  81  is plano-concave and the second lens  82  is a positive meniscus. Lenses  81  and  82  are bonded together forming a doublet. The position of the light collimating system is such that the front face of lens  81  is 13 mm inside of the corrector plate. Middle lens  83  is a negative meniscus lens with a flat beveled edge  88  having 0.5 mm wide. Final doublet  86  is comprised of two lenses. Lens  86 A is a biconvex lens with a flat beveled edge  89  having 0.5 mm wide and lens  86 B which is a negative meniscus. The materials from which each lens is made and the radius of each lens surface is listed in Table 2. The distance from the front surface of lens  81  to the CCD camera is 35 mm. Attaching the light collimating system to the 11 inch CELESTRON® SCT reduces the focal ratio from f/10 to f/2.1. Equivalent exposure times were reduced by a factor of 25.0. 
         [0000]    
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Light Collimating System Lenses for 
               
               
                 the 8 inch CELESTRON ® SCT 
               
             
          
           
               
                 Lens 
                 Radius 
                 Thickness 
                 Diameter 
                 Material 
               
               
                   
               
               
                 Lens 81 
                 infinity; 51.23° 
                 5 mm 
                 48 mm 
                 S-BSL7 
               
               
                 Lens 82 
                 51.23°; 143.1° 
                 8 mm 
                 48 mm 
                 PBM2 
               
               
                 Middle Lens 83 
                 80.88°; 51.23° 
                 4 mm 
                 42 mm 
                 PBH4 
               
               
                 Lens 86A 
                 63.7°; −63.7° 
                 9 mm 
                 40 mm 
                 S-BSL7 
               
               
                 Lens 86B 
                 −63.7°; −154.69° 
                 3 mm 
                 40 mm 
                 PBM2 
               
               
                   
               
             
          
         
       
     
       Example 3 
       [0061]    The present invention was optimized and assembled with an 11 inch CELESTRON® SCT. The optical assembly comprised four lenses, a filter, and a flat glass window. As shown in  FIG. 16 , the first lens  91  is biconcave and the second lens  92  is plano-convex. Lenses  91  and  92  are bonded together forming a doublet. Lens  91  includes a flat bevel  95  on the front face. Line  90  indicates the position relative to the corrector plate of the SCT. Middle lens  93  is a negative meniscus lens with a flat beveled edge  98  having 0.5 mm wide. Final lens  96  is a biconvex lens with a flat beveled edge  99  having 0.5 mm wide. The materials from which each lens is made and the radius of each lens surface is listed in Table 1. The distance from the front surface of lens  91  to the CCD camera is 51.9 mm. Attaching the light collimating system to the 11 inch CELESTRON® SCT reduces the focal ratio from f/10 to f/1.8. Equivalent exposure times were reduced by a factor of 30.9. 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 Light Collimating System Lenses for 
               
               
                 the 11 inch CELESTRON ® SCT 
               
             
          
           
               
                 Lens 
                 Radius 
                 Thickness 
                 Diameter 
                 Material 
               
               
                   
               
             
          
           
               
                 Lens 91 
                 −387.9°; 124.42° 
                 5 
                 mm 
                 74 mm 
                 S-BSL7 
               
               
                 Lens 92 
                 124.42°; infinity 
                 10 
                 mm 
                 74 mm 
                 S-TIM2 
               
               
                 Middle Lens 93 
                 136.94°; 62.49° 
                 5 
                 mm 
                 58 mm 
                 S-TIH4 
               
               
                 Final Lens 96 
                 79.5°; 176° 
                 11 
                 mm 
                 58 mm 
                 S-BSL7 
               
               
                   
               
             
          
         
       
     
         [0062]    It should be emphasized that the above-described embodiments of the present system are merely possible examples of implementations and merely set forth for a clear understanding of the principles of the invention. Many different embodiments of the light collimating system described herein may be designed and/or fabricated without departing from the spirit and scope of the invention. All these and other such modifications and variations are intended to be included herein within the scope of this disclosure and protected by the following claims. Therefore the scope of the invention is not intended to be limited except as indicated in the appended claims.