Abstract:
A reflector includes one closed end, one open end and highly reflecting curving walls. The walls are symmetrical about at least one axis of symmetry. The walls include a first segment and other segments. The first segment has a curved shape and is located at the closed end of the reflector. The first of segment directs most of the light rays incident on it across the axis of symmetry at crossover points, prior to the rays striking the associated target surface. Most of the light rays striking the walls of the first segment near the closed end of the reflector are having crossover points near the light source. Most of the light rays striking the walls of the first segment progressively further away from the closed end of the reflector are having crossover points located progressively closer to the associated target surface. The other segments direct nearly all of light rays incident on the walls of the other segments towards a portion of the associated surface. This portion of the associated surface is located on a side of the axis of symmetry where the light rays are incident on the walls of these other segments.

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     This application is related to U.S. patent application Ser. No. 08/938,172, filed Sep. 26, 1997, entitled FLASH DEVICE FOR DYE TRANSFERRING, Michael E. Long et al which is a divisional application of U.S. Ser. No. 08/686,906, filed Jul. 26, 1996. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to reflectors, and reflector/light source systems suitable for use in flash devices or other devices requiring a uniform illumination of a target surface. 
     2. Background 
     Many devices require a reflector/light source system that (i) provides a uniform illumination of a target surface and (ii) has light rays striking the target surface at a relatively shallow angles and (iii) avoids a lamp interference problem. The lamp interference results when the light rays reflected off the reflector walls pass through the light source or its transparent envelope. This problem is described in the book entitled &#34;The Optical Design of Reflectors&#34; by William B. Elmer, Third Edition, Copyright 1989, by TLA Lightning Consultants, Inc. Salem, Mass., pgs. 178-179. 
     In theory, a parabolic reflector would provide a collimated light beam to uniformly illuminate a target surface located near the reflector opening, but only if the light source was a point light source located at the reflector&#39;s focal point, and only if the reflected light (but no direct light from the light source) reached the target surface. If a lamp of finite size was used as a light source, and the direct light from this lamp was blocked (as shown in FIG. 10), then from a shadow would be cast in the center a target plane. If the direct light from the lamp was not blocked the target plane would not be illuminated uniformly. Instead, the illumination of the target plane would be in the form of a bell-shaped curve, such as the one illustrated in FIG. 11. 
     Other reflectors have also been designed to provide relatively uniform illumination. Such reflectors are described in the above referenced book and are illustrated in FIG. 62 of this book. In evaluating the uniformity of the illumination the author of the book did not consider that the lamp also directly illuminates the target plane. The author, in his caption to FIG. 62 specifically stated that the contribution from &#34;direct light  is! ignored).&#34; If the direct light contribution to total illumination of the target plane is taken into account, the target plane is not illuminated uniformly. 
     This reference also teaches that hybrid and compound reflectors may be used to provide unusual beams of light. However, none of the hybrid reflectors disclosed and illustrated (see FIGS. 63 and 67) in this book are able to substantially avoid lamp interference problem while providing a uniform illumination of a target surface (when the direct light contribution to the overall target surface illumination is taken into account) and providing light rays that strike the target surface at a relatively shallow angles. 
     One promising reflector/light source combination for use in flash lamp devices is described in U.S. Pat. No. 5,309,329 by Thiel, et al., assigned to the Eastman Kodak Company. The reflector/light source combination described therein provides 90% or better illumination uniformity. 
     It is the principal object of the present invention to provide an alternative reflector device that achieves similar or higher illumination uniformity than the uniformity provided by the reflector/lamp combination disclosed in U.S. Pat. No. 5,309,329, that has light rays striking the target surface at a relatively shallow angles and, that greatly minimizes a lamp interference problem. 
     SUMMARY OF THE INVENTION 
     Briefly described, according to one aspect of the present invention, a reflector/light source system for illumination of an associated target area comprises a light source providing light defined as light rays and a reflector directing the light rays from the light source towards the associated target surface. The reflector includes one closed end, one open end and highly reflecting curving walls. The walls are symmetrical about at least one axis of symmetry. The walls include a first segment and other segments. 
     The first segment has a curved shape and is located at the closed end of the reflector. The first of segment directs most of the light rays incident on it across the axis of symmetry at crossover points, prior to the rays striking the associated target surface. Most of the light rays striking the walls of the first segment near the closed end of the reflector are having crossover points near the light source. Most of the light rays striking the walls of the first segment progressively further away from the closed end of the reflector are having crossover points located progressively closer to the associated target surface. 
     The other segments direct nearly all of light rays incident on the walls of the other segments towards a portion of the associated surface. This portion of the associated surface is located on a side of the axis of symmetry where the light rays are incident on the walls of these other segments. 
     According to a preferred embodiment of the present invention the reflective curving walls have at least one transition zone between the first segment and an adjacent one of the other segments. The transition zone reflects the light rays which will intersect the axis of symmetry in the space between the light source and the associated target surface. 
     According to a preferred embodiment of the present invention the light source is a flash lamp. 
     According to a preferred embodiment of the present invention the reflective inner walls of the reflector have a curvature that in cross-section having includes a vertex, said curvature having a cross-sectional shape which: 
     (1) Is partially contained within a portion of an ellipse so that by (a) a minor axis of the ellipse is equal to the maximum width between the inner walls and (b) a semi-major ellipse axis is equal to the reflector&#39;s vertex-to maximum width distance. 
     (2) From a vertex point to a point proximate to the widest part of the reflector, the shape is broader than a parabola. The parabola is defined by a curve which passes through (a) a vertex point which is a vertex point of the reflective inner walls and (b) symmetric points A. Points A are defined by an intersection of a plane with the reflective walls. This plane is perpendicular to the reflector&#39;s axis of symmetry and intersects the center of the flash lamp. 
     According to a preferred embodiment of the present invention a flash device for directing a high energy flash for transferring dye particles to a receiver element includes: a flash lamp providing a high energy flash of light; an above described reflector directing the light towards the receiver element; a support means for supporting the radiation-absorbing dye carrier between the reflector and receiver element; and a micro-optics array. The micro-optics array is located between the reflector and the radiation-absorbing dye carrier. It concentrates the light directed by the above described reflector on the radiation-absorbing dye carrier. 
     One of advantages of the present invention is that the reflector/flash lamp system achieves a substantially uniform (less than 10% variation) illumination on the target plane which located near the opened end of the reflector. 
     Overlapping the light rays from two sides of the walls of the first segment while keeping the light rays on the same side of the axis in other segment allows the light rays to mitigate any shadowing effect caused by the flash lamp and keeps the light rays striking the target surface at a relatively shallow angles. These shallow angles are equal to or are smaller than the angles of incidence (on the target surface) of the light rays directly emanating from the flash lamp. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The foregoing and other objects, features and advantages as well as the presently preferred embodiment thereof will become more apparent from reading of the following description in connection with the accompanying drawings. 
     FIG. 1 shows a schematic cross-section of the flash device 100. 
     FIG. 1A shows schematically a relative movement of the receiver element 60 with respect to the flash device 100 via the use of a positioning system 70. 
     FIG. 1B shows schematically a greatly exaggerated movement of the flash device 100 via the use of a positioning system 70. 
     FIG. 2 shows a schematic cross-section of a part of a micro-optics array 40 of FIG. 1 imaging on a dye carrier 50. 
     FIG. 3 shows an enlarged photograph of a part of a lenticular lenslet array which can be used as the micro-optic array 40. 
     FIG. 4 shows an enlarged view of a lens element 42 of the micro-optics array illustrated in FIG. 2. 
     FIGS. 5 is a perspective view of the reflector 20, such as the one used in the flash device shown in FIG. 1. 
     FIG. 5A is a perspective view of another reflector. 
     FIGS. 5B illustrates the cross-sectional shape of the curved reflector wall 20A of the reflector 20 shown in FIG. 5. 
     FIG. 6 illustrates an alternative cross-sectional shape of the curved reflector wall. 
     FIG. 6B illustrates another cross-sectional shape of the curved reflector wall. 
     FIG. 7 depicts the light rays reflected by the curved inner walls of cross-sectional shape shown in FIG. 5B. 
     FIGS. 8A-8D depict the light rays reflected of the different segments of the curved inner walls of cross-sectional shape shown in FIG. 6. 
     FIG. 9 depicts the location of a transition zone T between two segments of the curved inner walls 20A. 
     FIG. 10 shows a prior art parabolic reflector. 
     FIG. 11 shows a illumination distribution of a prior art parabolic reflector. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT 
     The Reflector Shape 
     FIG. 5 shows a perspective view of the reflector 20 and the flash lamp 10. As stated above, the reflector 20 has highly reflective, curving inner walls 20A with an improved roughly egg-shaped cross-section 24. In a preferred embodiment of the invention, walls 20A are roughly cylindrical as shown in FIG. 5. The reflector 20 is also bounded by reflective side walls 20B which redirect the intercepted light (coming directly from the flash lamp 10 as well as reflected by the curved walls 20A) towards the transfer plane 25. Walls 20A do not have to be roughly cylindrical as shown in FIG. 5. They may alternatively have circular rather than linear symmetry, such that walls 20A are joined together into a continuous, cone-like shape as shown in FIG. 5A and side walls 20B are not required. 
     FIG. 5B shows a cross sectional view of the curved inner walls 20A of the reflector 20. The shape of the egg-like cross section 24 may be described as partially contained within the area bound by the ellipse E and a parabola P (up to just beyond the widest part or the reflector). The ellipse E is defined by setting the minor axis of the ellipse equal to the maximum width 21 between the reflector inner walls 20A and setting the semi-major ellipse axis equal to the reflector&#39;s vertex-to maximum width distance 22. The parabola P is defined by the curve passing through the vertex point of the reflector and points A. Points A are defined by the plane&#39;s B intersection with the inner wall surface 20A. (Plane B is perpendicular to the reflector&#39;s axis of symmetry AS and intersects the center of the flash lamp 10.) The reflector&#39;s opening 23 is smaller than its maximum width 21. 
     The reflector/flash lamp combination of the preferred embodiment described herein achieves a substantially uniform (less than 10% variation) illumination on the transfer plane 25 of approximately 2&#34;×2&#34; located close to the reflector&#39;s opening 23. Table 2 tabulates the intensity distribution across this plane 25, with the plane 25 being divided into 50 sections (a 10×5 matrix of sections of equal area). This intensity distribution is normalized, with the intensity having a value of 100 at the center of the transfer plane 25 (indicated in Table 2 by the dark line between numeric values at the center of the table). 
     The specific coordinates of some 600 points defining the reflector surface are provided in Table 1. The center of the flash lamp 10 defines the X=0.0, Y=0.0 point, as shown in FIG. 5C. 
     FIG. 6 shows a cross-sectional view of an alternative reflector shape. The improved cross-section 24&#39; provides substantially uniform (less than 5% variation) illumination on a transfer plane 25&#39; of approximately 6&#34;×6&#34; located close to the reflector opening 23. 
     The shape of the cross-section 24&#39; may also be described as being (1) partially contained within the value of the ellipse E defined by setting minor axis of the ellipse equal to the maximum width 21 of the reflector and setting the semi-major ellipse axis equal to the reflector&#39;s vertex-to maximum width distance 22; and (2) broader than a parabola P (up to just beyond the widest part of the reflector&#39;s inner wall 20A) defined by the parabola&#39;s vertex point which is the vertex point of the reflector inner wall surface and also points A as previously defined. 
     The specific coordinates of some 600 points defining the reflector surface are provided in Table 3. The center of the flash lamp 10 defines the X=0.0, Y=0.0 point, as shown in FIG. 6. 
     Table 4 tabulates the intensity distribution across the transfer plane 25&#39;, with the transfer plane 25&#39; being divided into a plurality of sections (18 vertical and 11 horizontal). This intensity distribution is normalized, with the intensity having a value of 100 at the center of the plane 25&#39;. 
     It is noted that the intensity values of Tables 2 and 4 do not account secondary reflections. Therefore the tabulated values at the extreme left and right columns of these tables are expected to be smaller than the actual intensity values produced at the edges of transfer planes 25 and 25&#39;. Thus, the actual illumination of the transfer plane is expected to be more uniform than what is indicated by the values of Tables 2 and 4. 
     It is contemplated that some other reflector shapes may have curved inner walls 20A with a cusp 20C as shown in FIG. 6B. Such cross-sections, as well as both of the above described cross sections 24 and 24&#39; can be described relative to their effect on the reflected light rays. That is, they may be defined by how the light rays incident on the reflective curved inner walls 20A are being directed, upon reflection, towards the transfer plane 25, 25&#39;. This description is provided below. 
     FIG. 7 illustrates the behavior of the light rays striking the reflective surface of cross-section 24. FIGS. 8A-8D illustrate the behavior of the light rays striking different segments of the reflective inner wall surface having the cross-section 24&#39;. The cross-section 24, 24&#39; is made of a plurality of reflective segments. Nearly all of the light rays reflected from the first reflective segment (0 to about 90°) are directed to cross the axis of symmetry AS before they reach the transfer plane 25, 25&#39;. The light rays striking closest to the edge of this reflective segment (near point A&#39;) tend to strike this axis of symmetry AS closer to the transfer plane 25, 25&#39;, while the light rays striking closer to the vertex V of the cross-section tend to cross this axis of symmetry closer to the light source. (See FIG. 7 and FIGS. 8A and 8B). Nearly all of the light rays striking the reflector walls at the angles beyond about 90° strike the transfer plane on the same side of the axis of symmetry AS. (See FIG. 7 and FIGS. 8C and 8D). Thus, most of these light rays do not cross the axis of symmetry AS. Overlapping the light rays from two sides of the reflective inner walls of the first segment while keeping the light rays on the same side of the axis in the second segment, allows the light rays to mitigate any shadowing effect caused by the flash lamp 10 and keeps the light rays striking the transfer plane at a relatively shallow angles. These shallow angles are equal to or are smaller than the angles of incidence on the transfer plane of the light rays directly emanating from the flash lamp 10. 
     In the reflector embodiments previously discussed the transition zone T between the two reflective segments occurs near the point A which is located at about 90° angle to the axis of symmetry. This does not have to be so. The location of the transition zone T may occur in a place on the wall surface where when the light rays are reflected off the curved surface walls 20A towards the transfer plane 25, 25&#39;, the reflected rays will not intersect the light source. This is illustrated in FIG. 9. It is preferred that these reflected rays intersect the axis of symmetry AS in the space in front of the light source and behind the transfer plane. 
     
                       TABLE 1______________________________________Point #  X        Y        Point #                           X      Y______________________________________1      -0.3     0        51     -0.229983                                  0.2527472      -0.299974           0.005237 52     -0.227495                                  0.2571353      -0.299887           0.010472 53     -0.224955                                  0.2615334      -0.29974 0.015709 54     -0.222363                                  0.2659425      -0.299532           0.020945 55     -0.219718                                  0.2703616      -0.299264           0.026182 56     -0.217019                                  0.2747927      -0.298936           0.031419 57     -0.214265                                  0.2792338      -0.298547           0.036657 58     -0.211456                                  0.2836879      -0.298099           0.041895 59     -0.20859                                  0.28815310     -0.297591           0.047134 60     -0.205667                                  0.29263211     -0.297023           0.052373 61     -0.202686                                  0.29712312     -0.296395           0.057613 62     -0.199646                                  0.30162813     -0.295707           0.062854 63     -0.196545                                  0.30614714     -0.294959           0.068097 64     -0.193384                                  0.31068115     -0.294152           0.07334  65     -0.190161                                  0.31522916     -0.293284           0.078585 66     -0.186874                                  0.31979217     -0.292356           0.083832 67     -0.183523                                  0.32437118     -0.291369           0.08908  68     -0.180537                                  0.32839119     -0.290321           0.094331 69     -0.1775                                  0.33242320     -0.289212           0.099584 70     -0.174412                                  0.33646921     -0.288043           0.104839 71     -0.17127                                  0.34052722     -0.286813           0.110097 72     -0.168076                                  0.344623     -0.285522           0.115359 73     -0.164826                                  0.34868724     -0.284169           0.120623 74     -0.161522                                  0.35278825     -0.282755           0.125891 75     -0.158161                                  0.35690426     -0.281279           0.131163 76     -0.154743                                  0.36103527     -0.279741           0.136439 77     -0.151266                                  0.36518128     -0.27814 0.14172  78     -0.14773                                  0.36934429     -0.276477           0.147006 79     -0.144134                                  0.37352330     -0.274925           0.151767 80     -0.140476                                  0.37771831     -0.273322           0.156533 81     -0.136755                                  0.38193132     -0.271667           0.161304 82     -0.132977                                  0.38618333     -0.269959           0.16608  83     -0.129147                                  0.39049234     -0.268198           0.170862 84     -0.125819                                  0.39423135     -0.266384           0.175649 85     -0.122449                                  0.39801236     -0.264517           0.180442 86     -0.119034                                  0.40183737     -0.262595           0.185241 87     -0.115573                                  0.40570638     -0.260619           0.190047 88     -0.112064                                  0.40962139     -0.258587           0.194859 89     -0.108505                                  0.4135840     -0.2565  0.19968  90     -0.104895                                  0.41758641     -0.254356           0.204508 91     -0.101231                                  0.42163842     -0.252156           0.209343 92     -0.097512                                  0.42573743     -0.249898           0.214188 93     -0.093735                                  0.42988444     -0.247581           0.219041 94     -0.089898                                  0.43407945     -0.245206           0.223903 95     -0.086 0.43832246     -0.242771           0.228775 96     -0.082039                                  0.44261347     -0.240276           0.233657 97     -0.078011                                  0.44695448     -0.23772 0.23855  98     -0.073916                                  0.45134349     -0.235101           0.243453 99     -0.070449                                  0.45503950     -0.23242 0.248368 100    -0.066933                                  0.458769101    -0.063365           0.462533 151    0.146856                                  0.651704102    -0.059744           0.466332 152    0.15124                                  0.655144103    -0.05607 0.470166 153    0.155676                                  0.658608104    -0.05234 0.474034 154    0.160165                                  0.662095105    -0.048553           0.477936 155    0.164708                                  0.665606106    -0.044708           0.481873 156    0.169306                                  0.669142107    -0.040804           0.485844 157    0.173959                                  0.672701108    -0.036838           0.489848 158    0.178669                                  0.676285109    -0.03281 0.493887 159    0.183436                                  0.679893110    -0.028719           0.497959 160    0.188261                                  0.683526111    -0.024562           0.502064 161    0.193145                                  0.687183112    -0.020338           0.506203 162    0.198089                                  0.690865113    -0.016046           0.510373 163    0.203093                                  0.694572114    -0.011684           0.514577 164    0.20816                                  0.698304115    -0.007252           0.518811 165    0.213288                                  0.702061116    -0.002746           0.523077 166    0.218481                                  0.705844117    0.000912 0.526512 167    0.223738                                  0.709651118    0.004618 0.529969 168    0.22906                                  0.713484119    0.008373 0.533454 169    0.234449                                  0.717343120    0.012178 0.536971 170    0.239905                                  0.721227121    0.016034 0.540518 171    0.24543                                  0.725137122    0.019943 0.544097 172    0.251024                                  0.729072123    0.023905 0.547708 173    0.256689                                  0.733034124    0.027922 0.551351 174    0.262425                                  0.737021125    0.031994 0.555026 175    0.268234                                  0.741034126    0.036123 0.558734 176    0.274117                                  0.745073127    0.04031  0.562476 177    0.280076                                  0.749141128    0.044556 0.566251 178    0.286115                                  0.753248129    0.048863 0.57006  179    0.292236                                  0.757392130    0.053231 0.573904 180    0.298441                                  0.761575131    0.057661 0.577783 181    0.302624                                  0.764385132    0.062156 0.581697 182    0.306846                                  0.767213133    0.066717 0.585646 183    0.311106                                  0.770059134    0.071344 0.589632 184    0.315406                                  0.772924135    0.076039 0.593654 185    0.319746                                  0.775806136    0.080804 0.597713 186    0.324126                                  0.778707137    0.08564  0.601808 187    0.328547                                  0.781627138    0.090549 0.605942 188    0.33301                                  0.784565139    0.095531 0.610113 189    0.337514                                  0.787523140    0.100589 0.614323 190    0.342061                                  0.7905141    0.105724 0.618571 191    0.346651                                  0.793497142    0.109626 0.621783 192    0.351285                                  0.796513143    0.113574 0.625017 193    0.355963                                  0.79955144    0.117567 0.628273 194    0.360686                                  0.802607145    0.121607 0.631552 195    0.365455                                  0.805684146    0.125693 0.634853 196    0.370269                                  0.808782147    0.129827 0.638177 197    0.375131                                  0.811901148    0.13401  0.641524 198    0.38004                                  0.815042149    0.138242 0.644894 199    0.384997                                  0.818204150    0.142523 0.648288 200    0.390002                                  0.821387201    0.395058 0.824593 251    0.730257                                  1.020063202    0.400163 0.827821 252    0.73467                                  1.022453203    0.405319 0.831071 253    0.739111                                  1.024853204    0.410527 0.834345 254    0.743579                                  1.027264205    0.415787 0.837641 255    0.748074                                  1.029686206    0.4211   0.840961 256    0.752597                                  1.032119207    0.426466 0.844304 257    0.757148                                  1.034563208    0.431888 0.847672 258    0.761728                                  1.037018209    0.437364 0.851063 259    0.766336                                  1.039484210    0.442897 0.854479 260    0.770973                                  1.041962211    0.448487 0.857921 261    0.775639                                  1.04445212    0.454134 0.861386 262    0.780334                                  1.046951213    0.45984  0.864878 263    0.785059                                  1.049462214    0.465606 0.868396 264    0.789813                                  1.051985215    0.471431 0.871939 265    0.794599                                  1.05452216    0.477318 0.875509 266    0.799414                                  1.057067217    0.483268 0.879105 267    0.804259                                  1.059625218    0.489279 0.882729 268    0.809136                                  1.062196219    0.495356 0.88638  269    0.814044                                  1.064778220    0.501497 0.890059 270    0.818983                                  1.067372221    0.507704 0.893766 271    0.823954                                  1.069979222    0.513978 0.897501 272    0.828957                                  1.072598223    0.52032  0.901266 273    0.833991                                  1.075229224    0.52673  0.905059 274    0.839059                                  1.077873225    0.533211 0.908882 275    0.84416                                  1.080529226    0.539763 0.912735 276    0.849293                                  1.083198227    0.546387 0.916619 277    0.854461                                  1.085879228    0.553084 0.920533 278    0.859662                                  1.088574229    0.559856 0.924478 279    0.864897                                  1.091282230    0.566703 0.928455 280    0.870166                                  1.094002231    0.573627 0.932464 281    0.87547                                  1.096736232    0.580629 0.936505 282    0.880809                                  1.099482233    0.58771  0.94058  283    0.886183                                  1.102242234    0.594871 0.944687 284    0.891593                                  1.105016235    0.602114 0.948828 285    0.897038                                  1.107803236    0.609441 0.953003 286    0.90252                                  1.110603237    0.616851 0.957213 287    0.908039                                  1.113418238    0.624347 0.961458 288    0.913594                                  1.116246239    0.63193  0.965739 289    0.919187                                  1.119088240    0.639602 0.970056 290    0.924817                                  1.121944241    0.647363 0.974409 291    0.930485                                  1.124814242    0.655216 0.978799 292    0.93619                                  1.127698243    0.663162 0.983227 293    0.941935                                  1.130597244    0.671201 0.987692 294    0.947718                                  1.13351245    0.679337 0.992197 295    0.953541                                  1.136437246    0.687571 0.99674  296    0.959404                                  1.13938247    0.695903 1.001323 297    0.965307                                  1.142337248    0.704336 1.005947 298    0.97125                                  1.145309249    0.712872 1.010611 299    0.977233                                  1.148296250    0.721511 1.015316 300    0.983258                                  1.151298301    0.989324 1.154315 351    1.355551                                  1.327496302    0.995433 1.157348 352    1.364366                                  1.331472303    1.001584 1.160396 353    1.373251                                  1.335471304    1.007777 1.163459 354    1.382206                                  1.339493305    1.014014 1.166539 355    1.39123                                  1.343538306    1.020294 1.169634 356    1.400327                                  1.347607307    1.026618 1.172745 357    1.409495                                  1.351699308    1.032986 1.175872 358    1.418737                                  1.355816309    1.039399 1.179016 359    1.428052                                  1.359957310    1.045857 1.182175 360    1.437441                                  1.364122311    1.052361 1.185351 361    1.446906                                  1.368312312    1.058911 1.188544 362    1.456446                                  1.372527313    1.065507 1.191754 363    1.466063                                  1.376766314    1.072151 1.19498  364    1.475757                                  1.38103315    1.078842 1.198223 365    1.48553                                  1.38532316    1.08558  1.201483 366    1.495382                                  1.389636317    1.092367 1.204761 367    1.505315                                  1.393977318    1.099203 1.208056 368    1.515328                                  1.398345319    1.106087 1.211368 369    1.525423                                  1.402738320    1.113022 1.214698 370    1.535601                                  1.407159321    1.120007 1.218046 371    1.545862                                  1.411606322    1.127043 1.221412 372    1.556208                                  1.416079323    1.13413  1.224796 373    1.566637                                  1.42058324    1.141268 1.228198 374    1.577155                                  1.425108325    1.148459 1.231618 375    1.587759                                  1.429664326    1.155703 1.235057 376    1.598452                                  1.434248327    1.163    1.238515 377    1.609233                                  1.438859328    1.170349 1.241991 378    1.620105                                  1.443499329    1.177754 1.245486 379    1.631068                                  1.448168330    1.185213 1.249    380    1.642122                                  1.452865331    1.192728 1.252534 381    1.65327                                  1.457591332    1.200299 1.256087 382    1.66451                                  1.462346333    1.207926 1.25966  383    1.675847                                  1.467131334    1.215611 1.263252 384    1.68728                                  1.471946335    1.223353 1.266864 385    1.69881                                  1.47679336    1.231153 1.270496 386    1.710438                                  1.481665337    1.239011 1.274148 387    1.722165                                  1.48657338    1.246929 1.277821 388    1.733993                                  1.491506339    1.254908 1.281514 389    1.745923                                  1.496473340    1.262947 1.285228 390    1.757953                                  1.501471341    1.271047 1.288963 391    1.770089                                  1.506501342    1.279208 1.292719 392    1.78233                                  1.511562343    1.287433 1.296496 393    1.794677                                  1.516656344    1.29572  1.300295 394    1.807132                                  1.521782345    1.304071 1.304114 395    1.819694                                  1.52694346    1.312485 1.307956 396    1.832367                                  1.532132347    1.320966 1.311819 397    1.84515                                  1.537356348    1.329512 1.315705 398    1.858045                                  1.542614349    1.338124 1.319613 399    1.871053                                  1.547904350    1.346804 1.323543 400    1.884176                                  1.55323401    1.897416 1.558589 451    2.741055                                  1.876862402    1.910773 1.563984 452    2.762354                                  1.884372403    1.924248 1.569413 453    2.78386                                  1.891931404    1.937844 1.574877 454    2.80558                                  1.899542405    1.95156  1.580376 455    2.827515                                  1.907204406    1.9654   1.585911 456    2.849666                                  1.914917407    1.979363 1.591482 457    2.872037                                  1.922681408    1.993451 1.597088 458    2.894629                                  1.930497409    2.007667 1.602732 459    2.917445                                  1.938365410    2.022011 1.608413 460    2.940488                                  1.946285411    2.036485 1.614131 461    2.96376                                  1.954258412    2.05109  1.619886 462    2.98726                                  1.962282413    2.065828 1.625679 463    3.010998                                  1.97036414    2.080701 1.631509 464    3.034972                                  1.978492415    2.095709 1.637379 465    3.059186                                  1.986676416    2.110855 1.643286 466    3.083642                                  1.994915417    2.126137 1.649232 467    3.108342                                  2.003296418    2.141562 1.655218 468    3.13329                                  2.011553419    2.157129 1.661244 469    3.158488                                  2.019953420    2.17284  1.66731  470    3.183938                                  2.028407421    2.188697 1.673415 471    3.20964                                  2.036915422    2.2047   1.679561 472    3.235603                                  2.045478423    2.220853 1.685748 473    3.261827                                  2.054096424    2.237156 1.691977 474    3.288314                                  2.062769425    2.253611 1.698246 475    3.315067                                  2.071497426    2.270218 1.704557 476    3.342089                                  2.08028427    2.286983 1.710911 477    3.369382                                  2.089118428    2.303905 1.717307 478    3.39695                                  2.098011429    2.320987 1.723745 479    3.424795                                  2.106959430    2.33823  1.730227 480    3.452916                                  2.115962431    2.355636 1.736753 481    3.481324                                  2.125021432    2.373208 1.743322 482    3.510016                                  2.134134433    2.390946 1.749935 483    3.538997                                  2.143303434    2.408852 1.756592 484    3.56827                                  2.152528435    2.426928 1.763293 485    3.597835                                  2.161807436    2.445178 1.77004  486    3.627697                                  2.17114437    2.463603 1.776833 487    3.657858                                  2.180529438    2.482204 1.783671 488    3.688321                                  2.189972439    2.500984 1.790555 489    3.719084                                  2.199468440    2.519945 1.797485 490    3.750158                                  2.209019441    2.539089 1.804462 491    3.781542                                  2.218624442    2.558418 1.811486 492    3.813239                                  2.228283443    2.577934 1.818557 493    3.845252                                  2.237995444    2.597636 1.825674 494    3.877581                                  2.24776445    2.617533 1.832841 495    3.910231                                  2.257577446    2.637623 1.840055 496    3.943204                                  2.267446447    2.657909 1.847318 497    3.976502                                  2.277367448    2.678393 1.85463  498    4.010044                                  2.287292449    2.699077 1.861991 499    4.043145                                  2.296829450    2.719964 1.869402 500    4.07581                                  2.305984501    4.108044 2.314765 551    5.328383                                  2.41703502    4.139857 2.32318  552    5.347558                                  2.414482503    4.171256 2.331236 553    5.366606                                  2.411814504    4.202249 2.338941 554    5.38553                                  2.409029505    4.232843 2.346302 555    5.404334                                  2.406129506    4.263047 2.353326 556    5.42302                                  2.403115507    4.292863 2.360019 557    5.441592                                  2.39999508    4.322309 2.366392 558    5.460052                                  2.396757509    4.351386 2.372449 559    5.478404                                  2.393416510    4.380103 2.378198 560    5.496647                                  2.389971511    4.408468 2.383645 561    5.514789                                  2.386422512    4.436487 2.388796 562    5.532831                                  2.382772513    4.464169 2.39366  563    5.550774                                  2.379023514    4.491519 2.398241 564    5.568622                                  2.375175515    4.518547 2.402546 565    5.586376                                  2.371232516    4.545254 2.40658  566    5.604039                                  2.367194517    4.571655 2.410352 567    5.621614                                  2.363063518    4.597754 2.413866 568    5.639102                                  2.358841519    4.623558 2.417128 569    5.656503                                  2.354529520    4.649073 2.420143 570    5.673825                                  2.350128521    4.674305 2.422918 571    5.691066                                  2.34564522    4.699261 2.425457 572    5.70823                                  2.341067523    4.723948 2.427766 573    5.725317                                  2.336409524    4.748371 2.42985  574    5.74233                                  2.331667525    4.772535 2.431714 575    5.759269                                  2.326844526    4.796451 2.433364 576    5.776139                                  2.32194527    4.820122 2.434803 577    5.792939                                  2.316957528    4.843554 2.436038 578    5.809669                                  2.311895529    4.866753 2.437071 579    5.826337                                  2.306756530    4.889724 2.437909 580    5.84294                                  2.30154531    4.912474 2.438554 581    5.859481                                  2.296249532    4.935006 2.439012 582    5.87596                                  2.290884533    4.957327 2.439287 583    5.89238                                  2.285446534    4.97944  2.439382 584    5.908742                                  2.279935535    5.001354 2.439302 585    5.925048                                  2.274353536    5.023072 2.439051 586    5.941298                                  2.2687537    5.044599 2.438632 587    5.957491                                  2.262978538    5.065939 2.438049 588    5.973634                                  2.257187539    5.087099 2.437305 589    5.989726                                  2.251328540    5.10808  2.436404 590    6.005767                                  2.245401541    5.128889 2.435349 591    6.02176                                  2.239408542    5.14953  2.434144 592    6.037704                                  2.233349543    5.170004 2.432792 593    6.053602                                  2.227226544    5.19032  2.431296 594    6.069454                                  2.221037545    5.210481 2.429659 595    6.085261                                  2.214786546    5.230489 2.427883 596    6.101023                                  2.208472547    5.25035  2.425972 597    6.116745                                  2.202095548    5.270067 2.423929 598    6.132424                                  2.195656549    5.289642 2.421755 599    6.148064                                  2.189156550    5.309081 2.419455 600    6.163663                                  2.182596601    6.179224 2.175975 608    6.287137                                  2.128602    6.194747 2.169296 609    6.302419                                  2.120919603    6.210233 2.162557 610    6.317669                                  2.113782604    6.225683 2.15576  611    6.332889                                  2.10659605    6.241096 2.148906 612    6.348078                                  2.099344606    6.256476 2.141994 613    6.363239                                  2.092043607    6.271823 2.135026 614    6.378368                                  2.084689                    615    6.393473                                  2.077281______________________________________ 
    
     
                       TABLE 2______________________________________Intensity Distribution______________________________________106.373  106.683 106.062     106.683                              106.3730102.746  103.212 102.746     103.212                              102.74699.6373  100.155 99.6373     100.155                              99.6373100.414  100.829 100.518     100.829                              100.41499.8445  100.414 99.8963     100.414                              99.84455100.310  100.621 100.103     100.621                              100.3108100.310  100.621 100.518     100.621                              100.31199.4818  100     99.4818     100   99.4819102.435  102.901 102.435     102.901                              102.435105.699  106.062 105.544     106.062                              105.6994______________________________________ 
    
     
                       TABLE 3______________________________________Point #  X       Y         Point #                            X       Y______________________________________1        -0.3940 0.0000    51    -0.3263 0.26052        -0.3935 0.0055    52    0.3238  0.26513        -0.3934 0.0110    53    -0.3214 0.26974        -0.3933 0.0165    54    -0.3188 0.27425        -0.3931 0.0220    55    -0.3163 0.27886        -0.3928 0.0275    56    -0.3137 0.28347        -0.3925 0.0330    57    -0.3110 0.28808        -0.3921 0.0384    58    -0.3083 0.29269        -0.3916 0.0439    59    -0.3056 0.297210       -0.3911 0.0494    60    -0.3023 0.301711       -0.3906 0.0549    61    -0.3000 0.306312       -0.3899 0.0604    62    -0.2971 0.310913       -0.3892 0.0658    63    -0.2942 0.315514       -0.3885 0.0713    64    -0.2912 0.320015       -0.3377 0.0768    65    -0.2882 0.324616       -0.3869 0.0822    66    -0.2851 0.329117       -0.3859 0.0877    67    -0.2820 0.333718       -0.3850 0.0931    68    -0.2788 0.338319       -0.3839 0.0986    69    -0.2756 0.342820       -0.3828 0.1040    70    -0.2724 0.347421       -0.3817 0.1095    71    -0.2691 0.351922       -0.3805 0.1149    72    -0.2657 0.356523       -0.3792 0.1203    73    -0.2623 0.361024       -0.3779 0.1257    74    -0.2589 0.365625       -0.3766 0.1311    75    -0.2553 0.370126       -0.3751 0.1365    76    -0.2518 0.374727       -0.3736 0.1419    77    -0.2482 0.379228       -0.3721 0.1473    78    -0.2450 0.383129       -0.3705 0.1527    79    -0.2419 0.387130       -0.3689 0.1581    80    -0.2386 0.391031       -0.3672 0.1635    81    -0.2354 0.394932       -0.3654 0.1688    82    -0.2321 0.398833       -0.3636 0.1742    83    -0.2288 0.402734       -0.3617 0.1796    84    -0.2254 0.406635       -0.3593 0.1849    85    -0.2220 0.410536       -0.3578 0.1902    86    -0.2185 0.414437       -0.3558 0.1956    87    -0.2150 0.418338       -0.3539 0.2002    88    -0.2115 0.422339       -0.3521 0.2049    89    -0.2079 0.426240       -0.3501 0.2096    90    -0.2042 0.430141       -0.3482 0.2142    91    -0.2006 0.434042       -0.3462 0.2189    92    -0.1968 0.438043       -0.3441 0.2235    93    -0.1931 0.441944       -0.3421 0.2281    94    -0.1892 0.445845       -0.3399 0.2328    95    -0.1854 0.449846       -0.3378 0.2374    96    -0.1815 0.453747       -0.3356 0.2420    97    -0.1775 0.457648       -0.3333 0.2466    98    -0.1735 0.461649       -0.3310 0.2512    99    -0.1695 0.465650       -0.3287 0.2558    100   -0.1654 0.4695101      -0.1612 0.4736    151   0.0412  0.6735102      -0.1570 0.4776    152   0.0450  0.6770103      -0.1528 0.4818    153   0.0488  0.6805104      -0.1486 0.4860    154   0.0526  0.6841105      -0.1450 0.4896    155   0.0565  0.6877106      -0.1414 0.4932    156   0.0605  0.6913107      -0.1378 0.4968    157   0.0645  0.6950108      -0.1341 0.5005    158   0.0685  0.6987109      -0.1304 0.5043    159   0.0726  0.7024110      -0.1267 0.5081    160   0.0767  0.7062111      -0.1229 0.5120    161   0.0809  0.7100112      -0.1191 0.5159    162   0.0851  0.7139113      -0.1152 0.5198    163   0.0894  0.7178114      -0.1113 0.5238    164   0.0937  0.7217115      -0.1074 0.5279    165   0.0981  0.7257116      -0.1034 0.5320    166   0.1025  0.7297117      -0.0994 0.5362    167   0.1070  0.7338118      -0.0953 0.5404    168   0.1116  0.7379119      -0.0911 0.5446    169   0.1162  0.7421120      -0.0870 0.5490    170   0.1209  0.7463121      -0.0827 0.5533    171   0.1256  0.7505122      -0.0784 0.5578    172   0.1304  0.7548123      -0.0740 0.5622    173   0.1352  0.7592124      -0.0705 0.5659    174   0.1401  0.7635125      -0.0669 0.5695    175   0.1451  0.7680126      -0.0633 0.5732    176   0.1501  0.7725127      -0.0596 0.5769    177   0.1552  0.7770128      -0.0559 0.5807    178   -0.1604 0.7816129      -0.0522 0.5844    179   0.1657  0.7862130      -0.0484 0.5882    180   0.1710  0.7909131      -0.0445 0.5921    181   0.1764  0.7956132      -0.0406 0.5960    182   0.1818  0.8004133      -0.0367 0.5999    183   0.1874  0.8052134      -0.0327 0.6038    184   0.1930  0.8101135      -0.0287 0.6078    185   0.1963  0.8134136      -0.0246 0.6118    186   0.2006  0.8167137      -0.0204 0.6158    187   0.2045  0.8201138      -0.0162 0.6198    188   0.2083  0.8234139      -0.0120 0.6239    189   0.2123  0.8268140      -0.0077 0.6280    190   0.2162  0.8302141      -0.0033 0.6321    191   0.2203  0.8337142      0.0011  0.6363    192   0.2243  0.8371143      0.0056  0.6404    193   0.2284  0.8406144      0.0101  0.6447    194   0.2325  0.8442145      0.0147  0.6489    195   0.2367  0.8477146      0.0194  0.6533    196   0.2409  0.8513147      0.0241  0.6577    197   0.2451  0.8549148      0.0289  0.6621    198   0.2494  0.8585149      0.0338  0.6666    199   0.2537  0.8622150      0.0375  0.6700    200   0.2581  0.8658                      201   0.2625  0.8695202      0.2670  0.8733    252   0.5612  1.1014203      0.2715  0.8771    253   0.5688  1.1069204      0.2760  0.8808    254   0.5766  1.1124205      0.2806  0.8847    255   0.5844  1.1180206      0.2853  0.8885    256   0.5924  1.1236207      0.2899  0.8924    257   0.6004  1.1293208      0.2947  0.8963    258   0.6085  1.1350209      0.2995  0.9003    259   0.6167  1.1407210      0.3043  0.9042    260   0.6209  1.1436211      0.3092  0.9082    261   0.6250  1.1465212      0.3141  0.9123    262   0.6292  1.1494213      0.3191  0.9163    263   0.6334  1.1523214      0.3241  0.9204    264   0.6377  1.1552215      0.3292  0.9245    265   0.6419  1.1582216      0.3343  0.9287    266   0.6462  1.1611217      0.3395  0.9329    267   0.6505  1.1641218      0.3448  0.9371    268   0.6549  1.1670219      0.3501  0.9414    269   0.6592  1.1700220      0.3554  0.9456    270   0.6636  1.1730221      0.3608  0.9500    271   0.6680  1.1760222      0.3663  0.9543    272   0.6725  1.1790223      0.3718  0.9587    273   0.6769  1.1820224      0.3774  0.9631    274   0.6814  1.1851225      0.3831  0.9676    275   0.6859  1.1881226      0.3888  0.9720    276   0.6905  1.1912227      0.3945  0.9766    277   0.6950  1.1942228      0.4004  0.9811    278   0.6996  1.1973229      0.4063  0.9857    279   0.7042  1.2004230      0.4122  0.9903    280   0.7089  1.2035231      0.4182  0.9950    281   0.7136  1.2066232      0.4243  0.9997    282   0.7183  1.2098233      0.4305  1.0044    283   0.7230  1.2129234      0.4367  1.0092    284   0.7278  1.2161235      0.4430  1.0140    285   0.7326  1.2193236      0.4493  1.0188    286   0.7374  1.2225237      0.4558  1.0237    287   0.7423  1.2258238      0.4622  1.0286    288   0.7472  1.2290239      0.4688  1.0335    289   0.7522  1.2323240      0.4755  1.0385    290   0.7571  1.2356241      0.4822  1.0436    291   0.7621  1.2389242      0.4890  1.0486    292   0.7672  1.2422243      0.4958  1.0537    293   0.7722  1.2455244      0.5028  1.0589    294   0.7773  1.2489245      0.5098  1.0640    295   0.7825  1.2523246      0.5169  1.0693    296   0.7877  1.2557247      0.5240  1.0745    297   0.7929  1.2591248      0.5313  1.0798    298   0.7981  1.2625249      0.5386  1.0851    299   0.8034  1.2660250      0.5461  1.0905    300   0.8087  1.2695251      0.5536  1.0959    301   0.8141  1.2730302      0.8195  1.2765    352   1.1455  1.4821303      0.8249  1.2800    353   1.1533  1.4869304      0.8304  1.2836    354   1.1612  1.4918305      0.8359  1.2872    355   1.1692  1.4966306      0.8414  1.2908    356   1.1773  1.5015307      0.8470  1.2944    357   1.1854  1.5064308      0.8526  1.2981    358   1.1935  1.5114309      0.8583  1.3017    359   1.2018  1.5163310      0.8640  1.3054    360   1.2101  1.5214311      0.8697  1.3091    361   1.2184  1.5264312      0.8755  1.3128    362   1.2269  1.5315313      0.8813  1.3166    363   1.2354  1.5366314      0.8872  1.3204    364   1.2440  1.5417315      0.8931  1.3242    365   1.2526  1.5469316      0.8991  1.3280    366   1.2613  1.5521317      0.9051  1.3318    367   1.2701  1.5574318      0.9111  1.3357    368   1.2789  1.5626319      0.9172  1.3396    369   1.2879  1.5680320      0.9233  1.3435    370   1.2969  1.5733321      0.9295  1.3474    371   1.3059  1.5787322      0.9357  1.3514    372   1.3151  1.5841323      0.9420  1.3554    373   1.3243  1.5896324      0.9483  1.3594    374   1.3336  1.5950325      0.9546  1.3634    375   1.3430  1.6006326      0.9610  1.3675    376   1.3524  1.6061327      0.9675  1.3723    377   1.3620  1.6117328      0.9740  1.3756    378   1.3716  1.6174329      0.9805  1.3798    379   1.3813  1.6230330      0.9871  1.3839    380   1.3910  1.6288331      0.9937  1.3881    381   1.4009  1.6345332      1.0004  1.3915    382   1.4108  1.6403333      1.0072  1.3965    383   1.4208  1.6461334      1.0140  1.4008    384   1.4309  1.6520335      1.0208  1.4051    385   1.4411  1.6579336      1.0277  1.4094    386   1.4514  1.6638337      1.0346  1.4137    387   1.4618  1.6698338      1.0416  1.4181    388   1.4722  1.6758339      1.0487  1.4225    389   1.4827  1.6819340      1.0558  1.4269    390   1.4934  1.6880341      1.0630  1.4314    400   1.5041  1.6942342      1.0702  1.4358    401   1.5149  1.7003343      1.0775  1.4403    402   1.5258  1.7066344      1.0848  1.4449    403   1.5368  1.7128345      1.0922  1.4494    404   1.5479  1.7192346      1.0996  1.4540    405   1.5591  1.7255347      1.1071  1.4586    406   1.5703  1.7319348      1.1147  1.4633    407   1.5817  1.7384349      1.1223  1.4679    408   1.5932  1.7448350      1.1299  1.4726    409   1.6048  1.7514351      1.4377  1.4774    410   1.6165  1.7579                      411   1.6282  1.7646412      1.6401  1.7712    461   2.3742  2.1604413      1.6521  1.7779    462   2.3929  2.1698414      1.6642  1.7847    463   2.4117  2.1792415      1.6764  1.7915    464   2.4308  2.1887416      1.6887  1.7983    465   2.4500  2.1983417      1.7011  1.8052    466   2.4693  2.2079418      1.7136  1.8122    467   2.4889  2.2176419      1.7263  1.8192    468   2.5087  2.2273420      1.7390  1.8262    469   2.5286  2.2372421      I.7519  1.8333    470   2.5487  2.2470422      1.7649  1.8404    471   2.5690  2.2570423      1.7779  1.8476    472   2.5895  2.2670424      1.7911  1.8549    473   2.6102  2.2771425      1.8045  1.8621    474   2.6311  2.2872426      1.8179  1.8695    475   2.6521  2.2974427      1.8315  1.8769    476   2.6734  2.3077428      1.8452  1.8843    477   2.6949  2.3180429      1.8590  1.8918    478   2.7165  2.3284430      1.8729  1.8993    479   2.7384  2.3389431      1.8870  1.9069    480   2.7605  2.3494432      1.9012  1.9145    481   2.7872  2.3600433      1.9155  1.9222    482   2.8054  2.3707434      1.9299  1.9300    483   2.8279  2.3184435      1.9445  1.9378    484   2.8508  2.3922436      1.9592  1.9456    485   2.8704  2.4031437      1.9740  1.9535    486   2.8973  2.4140438      1.9890  1.9615    487   2.9208  2.4250439      2.0041  1.9695    488   2.9446  2.4360440      2.0194  1.9776    489   2.9686  2.4472441      2.0348  1.9857    490   2.9928  2.4584442      2.0503  1.9939    491   3.0172  2.4696443      2.0660  2.0021    492   3.0419  2.4809444      2.0818  2.0140    493   3.0668  2.4923445      2.0978  2.0188    494   3.0919  2.5038446      2.1139  2.0272    495   3.1172  2.5153447      2.1301  2.0357    496   3.1428  2.5269448      2.1465  2.0442    497   3.1686  2.5386449      2.1631  2.0528    498   3.1946  2.5503450      2.1798  2.0614    499   3.2209  2.5621451      2.1967  2.0701    500   3.2474  2.5739452      2.2137  2.0789    501   3.2741  2.5858453      2.2309  2.0877    502   3.3011  2.5978454      2.2482  2.0966    503   3.3284  2.6098455      2.2657  2.1055    504   3.3558  2.6219456      2.2834  2.1145    505   3.3836  2.6341457      2.3012  2.1236    506   3.4115  2.6463458      2.3192  2.1327    507   3.4397  2.6586459      2.3374  2.1419    508   3.4682  2.6709460      2.3557  2.1511    509   3.4969  2.6833                      510   3.5259  2.6958                      511   3.5551  2.7083512      3.5845  2.7209    562   5.3772  3.3862513      3.6143  2.7335    563   5.4185  3.3991514      3.6442  2.7462    564   5.4600  3.4118515      3.6745  2.7589    565   5.5017  3.4245516      3.7049  2.7717    566   5.5435  3.4371517      3.7357  2.7845    567   5.5853  3.4496518      3.7667  2.7974    568   5.6273  3.4620519      3.7980  2.8104    569   5.6694  3.4742520      3.8295  2.8234    570   5.7116  3.4864521      3.8613  2.8364    571   5.7538  3.4984522      3.8933  2.8495    572   5.7961  3.5103523      3.9256  2.8626    573   5.8385  3.5220524      3.9581  2.8758    574   5.8809  3.5336525      3.9910  2.8890    575   5.9234  3.5451526      4.0241  2.9023    576   5.9658  3.5564527      4.0574  2.9156    577   6.0083  3.5675528      4.0910  2.9289    578   6.0508  3.5785529      4.1249  2.9423    579   6.0933  3.5892530      4.1590  2.9557    580   6.1357  3.59984531      4.1934  2.9691    581   6.1782  3.6102532      4.2280  2.9862    582   6.2205  3.6204533      4.2629  2.9961    583   6.2628  3.6305534      4.2980  3.0096    584   6.3051  3.6402535      4.3335  3.0231    585   6.3472  3.6498536      4.3691  3.0367    586   6.3892  3.6592537      4.4050  3.0502    587   6.4312  3.6683538      4.4412  3.0638    588   6.4729  3.6858539      4.5143  6.0910    589   6.5560  3.6941540      4.5512  3.1046    590   6.5973  3.7022541      4.5883  3.1183    591   6.6384  3.7101542      4.6257  3.1319    592   6.6792  3.7176543      4.6633  3.1455    593   6.7199  3.7249544      4.7012  3.1591    594   6.7603  3.7319545      4.7393  3.1727    595   6.8004  3.7385546      4.7776  3.1863    596   6.8402  3.7449547      4.8162  3.1999    597   6.8798  3.7510548      4.8550  3.2135    598   6.9190  3.7567549      4.8939  3.2270    599   6.9579  3.7621550      4.9332  3.2405    600   6.9964  3.7672551      4.9726  3.2540    601   7.0346  3.7719552      5.0122  3.2674    602   7.0724  3.7763553      5.0520  3.2808    603   7.1098  3.7803554      5.0920  3.2942    604   7.1467  3.78405S5      5.1322  3.2942    605   7.1467  3.7840556      5.1322  3.3075    606   7.1833  3.7873557      5.1726  3.3208    607   7.2193  3.7902558      5.2132  3.3340    608   7.2549  3.7928559      5.2540  3.3472    609   7.2900  3.7949560      5.2949  3.3602    610   7.3246  3.7967561      5.3359  3.3733    611   7.3586  3.7981                      612   7.3921  3.7990                      613   7.4251  3.7996                      614   7.4574  3.7997______________________________________ 
    
     
                                           TABLE 4__________________________________________________________________________Intensity distribution__________________________________________________________________________93.3    94.5  95.5      96.2         96.6             97.1                96.6                    96.2                       95.5                           94.5                              93.393.5    95.3  96.4      96.8         97.9             97.9                97.9                    96.8                       96.4                           95.3                              93.594.7    96.2  97.1      97.9         98.6             98.9                98.6                    97.9                       97.1                           96.2                              94.795.8    97.2  98.3      99.2         100.1             100.2                100.1                    99.2                       98.3                           97.2                              95.895.8    97.35  98.8      99.6         100 100.4                100 99.6                       98.8                           97.35                              95.894.6    96.3  97.6      98.1         98.9             99.3                98.9                    98.1                       97.6                           96.3                              94.695.4    97.1  98.3      99.2         100 100.4                100 99.2                       98.3                           97.1                              95.496.2    97.9  99  99.6         100.4             100.7                100.4                    99.6                       99  97.9                              96.295.9    97.7  98.6      99.3         100.2             100.7                100.2                    99.3                       98.6                           97.7                              95.995.9    97.7  98.6      99.3         100 100.6                100 99.3                       98.6                           97.7                              95.996.1    97.8  99  99.6         100.4             100.9                100.4                    99.6                       99  97.8                              96.195.4    97.1  98.3      99.2         100 100.4                100 99.2                       98.3                           97.1                              95.494.1    95.8  97.1      97.5         98.3             98.8                98.3                    97.5                       97.1                           95.8                              94.195.5    97.2  98.6      99.2         99.7             100.2                99.7                    99.2                       98.6                           97.2                              95.595.9    97.5  98.8      99.6         100.4             100.4                100.4                    99.6                       98.8                           97.5                              95.994.8    96.2  97.1      97.9         98.8             99 98.8                    97.9                       97.1                           96.2                              94.893.3    95.1  96.2      96.6         97.5             97.6                97.5                    96.6                       96.2                           95.1                              93.393.7    95 95.9      96.6         97.1             97.5                97.1                    96.6                       95.9                           95 93.7__________________________________________________________________________ 
    
     A FLASH-LAMP DEVICE 
     The above described reflectors can be advantageously used in flash light printing devices, such as the devices used to manufacture color filter arrays. One such device is described below. 
     With reference to the accompanying FIG. 1 a flash device 100 incorporating one of the above reflectors 20 also comprises a high energy source such as a flash lamp 10, both located within a casing body 30. The reflector 20 directs the light energy (schematically depicted as light rays 15) flashed by the flash lamp 10 towards a micro-optics array 40. This micro-optics array 40 focuses the light, and as a result produces concentrations of energy 55 on or in the vicinity of a dye carrier 50 which includes a radiation-absorbing dye. The dye carrier 50 is supported in its location by a support structure 51. This is shown schematically in FIG. 2. These concentrations of energy cause the dye to transfer from the radiation-absorbing dye carrier 50 to the receiver element 60. The flash device, such as the device 100, may also include other conventional features associated with known flash devices including those used in production of color filter arrays. 
     According to the preferred embodiment, the flash lamp 10 delivers approximately a minimum of 0.5-1.5 joules of radiant energy per flash in approximately 600-700 milliseconds. This radiant energy is visible, near UV (ultra violet) and near IR. (infra-red) light. The example illustrated in FIG. 1 utilizes a six inch long xenon tube flash lamp such as the one described by the tube number N.188c, which is commercially available from Xenon Corporation (Woburn, Mass.). Similar flash lamps are also available from other manufacturers, for example, EG&amp;G Electro Optics (Salem, Mass.). 
     As stated above the reflector 20 directs the light from the flash lamp 10 towards the micro-optics array 40 which is being used instead of a mask. In this embodiment the reflector 20 has a reflective, curved (roughly cylindrical) inner walls 20A which are polished aluminum. However, other highly reflective materials may also be used. According to one embodiment of the present invention the inner walls 20A are concave and have the improved egg-like shaped cross-section depicted in FIG. 5B. This shape provides a uniform (within 10%) illumination of a micro-optics array 40. This cross-section shape is further described in the &#34;The Reflector Shape&#34; section of this application. 
     According to another reflector embodiment, the reflector 20 has inner walls 20A with the improved cross-section 24&#39; depicted in FIG. 6. This shape provides even higher illumination uniformity than that of FIG. 5B. This alternative cross-sectional shape is also described in the &#34;The Reflector Shape&#34; section of this application. 
     A micro-optics array is an integral array of very small optical elements which are commonly supported. It is preferred that each of these small optical elements have a clear aperture that is smaller than about 1 mm. It is even more preferred that these clear aperture be smaller than 0.5 mm. 
     According to the illustrative embodiment of the present invention, the micro-optics array 40 is a lenslet array. This array is illustrated in FIGS. 2 and 3. More specifically, it is an array of very small refractive lens elements 42. Each of these lens elements have a clear aperture 43 of about 180 μm. Each of these lens elements focuses the light onto or near the dye holding layer 50, thereby concentrating light energy into a plurality of areas, spots or lines, on the layer 50. The focal points for the lens elements define a plane either coextensive with or in the vicinity of the dye carrier. 
     FIG. 3 shows that in this embodiment the micro-optics array 40 is a lenticular lenslet array--i.e., that lens elements 42 are roughly cylindrical. This lenticular lenslet array has a pitch of approximately 180 microns. 
     If there is a need to create concentrations of energy 55 in a form of discrete spots rather than lines, the lens elements may have other shapes (such as circular, rectangular or hexagonal, for example). It is also contemplated that if a lenslet array is used, it may be an array of either diffractive lens elements or an array of lens elements having both a refractive power and a diffractive power. The use of other types of micro-optics arrays is also contemplated by this invention. 
     The use of the micro-optics array eliminates the need for a mask in the flash device systems as well as the problems associated with mask use. For example, while the opaque portion of a mask absorbs about 1/2 energy incident on the mask, the micro-optics array redistributes most of the total energy incident on it, making the thermal dye transfer method much more energy efficient. In addition, because no mask is required, the problem of mask abrasion, which is sometimes occurs because the mask is located close to the radiation-absorbing dye carrier, is also eliminated. 
     As stated above, the micro-optics array 40 is located near the radiation-absorbing dye carrier 50. In a particular embodiment of the invention, the separation between the micro-optic array 40 and the dye carrier 50 is approximately 0.2 millimeter. In this embodiment the dye carrier 50 comprises a support layer 52 which is approximately 0.001-0.005 inches thick and a dye holding layer 54. The dye holding layer 54 is a carbon film layer containing a dye. It is preferred that the micro-optic array 40 focus the light directly on this dye holding layer 54. 
     The receiver element 60 is positioned behind the dye carrier 50. The receiver element 60 is usually formed of glass or an optical quality plastic and has a polymer image receiving layer. 
     As stated above, the light resulted from the light flash is focused and thus is concentrated according to a predetermined pattern (into spots or lines, for example) by the micro-optics array near or on the dye carrier 50 and more preferable on the dye holding layer 54. This heats the dye holding layer 54 and causes the dye to sublime onto a receiver element 60. (If the dye holding layer 54 is a carbon film layer, the carbon can be heated (by the flash lamps described above) almost instantaneously to about 200-300 degrees Fahrenheit. The dye sublimes and then immediately deposits onto an aligned portion of the receiving element.) 
     In one embodiment of the present invention, the repeating mosaic pattern of colorant to form the color filter array consists of uniform repeated as follows: 
     
         ______________________________________B         R     G     B   R   G   B   R   GB         R     G     B   R   G   B   R   GB         R     G     B   R   G   B   R   GB         R     G     B   R   G   B   R   GB         R     G     B   R   G   B   R   G______________________________________ 
    
     where B stands for the blue, R for the red and G for the green color. The width of the lines is approximately 50 to 200 microns (0.002&#34;-0.008&#34;). Because typical color filter arrays have a pattern of 3 colors, the above described flash device will probably be used three times--i.e. the thermal transfer will be done once for each color that needs to be deposited on the receiver element. To achieve this transfer, a new dye carrier will be substituted for the one that was previously used (the one that contains a different color dye) and a flash lamp will be activated to provide the energy needed to transfer the dye to the receiver element. 
     Each color dye has to be fused to the receiver element. This can be done by various well known methods, such as by heat, or by solvent fusing and subsequent baking, for example. 
     In order to align different color stripes on the receiver element either the lenslet array and/or the receiving element needs to be moved by an appropriate distance. This is done if one does not want to overlap different color dyes on the receiver element. It is preferred that the receiver element 60 be moved with respect to the micro-optics array or with respect to the whole flash device before depositing a dye of a different color on the receiving element. In order to deposit three different color dyes, this movement will have to be accomplished at least two times. Thus, the preferred embodiment of the present invention also incorporates a positioning system 70. Suitable positioning systems for microfabrication are well known. Prior to transferring an additional color dye onto the receiver element, the positioning system 70 positions and holds the receiver element 60 in a different position from its previous position. (See FIG. 1A.) Alternatively, a flash device 100 may be moved relative to the receiver element (by a distance .increment.x, .increment.×2), as shown in FIG. 1B. The positioning system 70 is indicated by arrows in FIGS. 1A and 1B. The positioning system may be used to reposition and hold the micro-optic array instead of repositioning either the receiver element or the entire flash device. 
     Once all color dyes are in place, an overcoat layer may be applied to the resultant filter array. 
     The invention has been described in detail with particular reference to the preferred embodiment, but it will be understood that variations and modifications can be effected within the spirit and scope of the invention. It is noted that the flash device described herein could be used in other applications and that the color filter arrays can be used in applications other than liquid crystal displays.