VERS 51112 BLNK BLNK PETZVAL OPTIMIZATION MERIT FUNCTION BLNK BLNK Effective focal length at the middle wavelength is a user-given BLNK multiple of the entry pupil size. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+001 0.000000E+000 1.000000E+001 BLNK BLNK Optimization of the aberrations is performed in two stages. A BLNK preliminary solution is found mostly using simple Seidel terms. BLNK After that, a more precise solution is found. The pass is given BLNK in the parameter below (0 = preliminary, 1 = final). BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 BLNK BLNK Astigmatism should be near clear at the middle wavelength BLNK Note: In the preliminary case, it is forced to zero. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 -4.400000000000E-005 0.000000E+000 -4.400000E-005 PROD 19 14 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.400000E-005 BLNK BLNK Field curvature (in inverse focal lengths) should be near clear BLNK at middle wavelength. Cleared in preliminary case. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 -4.400000000000E-004 0.000000E+000 -4.400000E-004 PROD 25 14 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.400000E-004 BLNK BLNK Longitudinal color correction may be either via axial color( = 0) BLNK or optical path difference ( = 1 ) of the two outside colors. BLNK The second value is that balance factor, used as a slider in BLNK axial color correction, but just an additional weighting for path. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 4.490000000000E-001 0.000000E+000 4.490000E-001 BLNK BLNK ========================================================= BLNK Assumptions BLNK ========================================================= BLNK BLNK a) The layout is two crown-first doublets. It is BLNK necessary to make this assumption, as the thickness BLNK assumptions for the four lenses, while they may be BLNK the set the same, are dependent on the role they play. BLNK BLNK b) In fact, a simplifying assumption of isoconvex BLNK crowns is made. This can be overcome with more BLNK complex equations; calculation of both sagittas would BLNK be required. BLNK BLNK c) Each doublet is preceded by a dummy surface that BLNK supplies the clear aperture for that doublet. The BLNK lens diameter is estimated from that. The first dummy BLNK surface is also the stop; the stop is not between the BLNK two doublets. If vignetting from second doublet is BLNK required, it can be done by forcing the semi-diameter. BLNK BLNK d) Each doublet has an air-space. There is no constraint BLNK put on the air-space. BLNK BLNK e) There is an additional dummy surface in front of BLNK the focal surface. The focal surface itself has a BLNK variable radius of curvature. There is no attempt here BLNK to make the focal surface flat. BLNK BLNK ======================================================= BLNK BLNK Effective focal length is pass independent. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK EPDI 0 3 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.500000E+002 PROD 71 7 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.500000E+003 EFFL 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.500000E+003 DIFF 73 72 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.345576E-009 PROD 74 69 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 3.345576E-010 BLNK BLNK Independent of the pass, the focal surface is deemed to be the BLNK mean sagittal plane. This plane is found by averaging the field BLNK edge zone with the most distant point in the 10% to 90% region. BLNK The value for this region is determined by testing the convexity BLNK or concavity of the sagittal surface across the full field, going BLNK from center to the edge. BLNK FCGS 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.117540E-010 BLNK FCGS 0 2 0.000000E+000 1.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.702759E-007 FCGS 0 2 0.000000E+000 1.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.983340E-007 FCGS 0 2 0.000000E+000 2.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.040306E-006 FCGS 0 2 0.000000E+000 2.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.578889E-006 FCGS 0 2 0.000000E+000 3.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.191838E-006 FCGS 0 2 0.000000E+000 3.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.851950E-006 FCGS 0 2 0.000000E+000 4.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.527080E-006 FCGS 0 2 0.000000E+000 4.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.180141E-006 FCGS 0 2 0.000000E+000 5.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.769100E-006 FCGS 0 2 0.000000E+000 5.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.246959E-006 FCGS 0 2 0.000000E+000 6.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.561785E-006 FCGS 0 2 0.000000E+000 6.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.656687E-006 FCGS 0 2 0.000000E+000 7.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.469831E-006 FCGS 0 2 0.000000E+000 7.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.934420E-006 FCGS 0 2 0.000000E+000 8.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.978689E-006 FCGS 0 2 0.000000E+000 8.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.525938E-006 FCGS 0 2 0.000000E+000 9.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.945030E-007 BLNK FCGS 0 2 0.000000E+000 1.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 5.655923E-006 BLNK BLNK Convexity/Concavity test; only one of the last two values will BLNK be one; the other will be zero. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 SUMM 104 84 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 5.655511E-006 PROD 110 109 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.827756E-006 DIFF 111 94 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 7.596856E-006 OPLT 112 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 7.596856E-006 OPGT 112 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 DIVI 113 112 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E+000 DIVI 114 112 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK BLNK Now apply the terms as a selector for the minimum or maximum across BLNK the central part. BTW: The 5% intervals used are quite sufficient. BLNK MINN 86 102 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.656687E-006 PROD 121 115 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.656687E-006 MAXX 86 102 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.702759E-007 PROD 123 116 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 SUMM 122 124 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.656687E-006 BLNK BLNK Find a weighted average with the 100% zone to get the mean. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 SUMM 125 104 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.641329E-010 PROD 130 129 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.820664E-010 DIFF 131 84 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.968753E-011 BLNK BLNK Force the mean to zero. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 PROD 136 132 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 2.968753E-011 BLNK BLNK At the same time, the central portion should also be forced to zero BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 PROD 141 84 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -4.117540E-010 BLNK BLNK A Petzval has low lateral color BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 LACL 2 3 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.079380E-003 LACL 1 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.072949E-003 DIFF 149 150 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.152328E-003 PROD 151 148 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.076164E-003 SUMM 152 150 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.215472E-006 PROD 153 146 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -3.215472E-007 BLNK BLNK And low longitudinal color, but use a weighted algorithm selector BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 PROD 158 33 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 DIFF 158 159 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E-001 BLNK BLNK Weighted axial color (at sqrt( 0.5 ) zone) for the two extreme BLNK wavelengths (from the middle). BLNK AXCL 2 3 7.071070E-001 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.012704E+000 AXCL 1 2 7.071070E-001 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.640116E+000 DIFF 165 166 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.652819E+000 PROD 167 34 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.640116E+000 SUMM 168 166 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.594911E-007 PROD 169 160 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 1.594911E-008 BLNK BLNK Weighted optical path difference (at sqrt( sqrt( 0.5 ) ) zone) for BLNK the two extreme wavelengths (from a centroid). BLNK OPDX 0 1 0.000000E+000 0.000000E+000 0.000000E+000 8.408960E-001 0.000000000000E+000 0.000000E+000 -2.800219E+000 OPDX 0 3 0.000000E+000 0.000000E+000 0.000000E+000 8.408960E-001 0.000000000000E+000 0.000000E+000 -2.834568E+000 DIFF 176 175 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.434904E-002 PROD 177 34 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.542272E-002 PROD 178 159 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 0.000000E+000 BLNK BLNK BLNK ============================================================= BLNK Aberration optimization BLNK ============================================================= BLNK BLNK Optimization of the aberrations is performed in two stages. A BLNK preliminary solution is found mostly using simple Seidel terms. BLNK After that, a more precise solution is found. However, even BLNK though the more precise solution is demonstrated here, it is BLNK still found by manually tweaking the astigmatism solution. I BLNK have not been able to find a balance between it and the lateral BLNK color that converges for all cases. This can be overridden by BLNK setting the following parameter to 1.0; the override is not in BLNK effect with a value of 0.0. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK BLNK Override calculation BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 DIFF 200 196 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E+000 BLNK BLNK BLNK Seidel calculation of astigmatism. BLNK ASTI 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.400077E-005 DIFF 206 20 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.706045E-010 PROD 207 201 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -7.706045E-010 BLNK BLNK The complex astigmatism model calculates the mean BLNK tangential surface similar to the calculation of BLNK the mean sagittal surface above. The two mean BLNK surfaces are then compared. BLNK FCGT 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.117540E-010 BLNK FCGT 0 2 0.000000E+000 1.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.167555E-006 FCGT 0 2 0.000000E+000 1.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.077053E-005 FCGT 0 2 0.000000E+000 2.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.433663E-005 FCGT 0 2 0.000000E+000 2.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.780819E-005 FCGT 0 2 0.000000E+000 3.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.111159E-005 FCGT 0 2 0.000000E+000 3.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.415747E-005 FCGT 0 2 0.000000E+000 4.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.683953E-005 FCGT 0 2 0.000000E+000 4.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.903624E-005 FCGT 0 2 0.000000E+000 5.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.060918E-005 FCGT 0 2 0.000000E+000 5.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.140502E-005 FCGT 0 2 0.000000E+000 6.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.125280E-005 FCGT 0 2 0.000000E+000 6.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.996638E-005 FCGT 0 2 0.000000E+000 7.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.734359E-005 FCGT 0 2 0.000000E+000 7.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.316535E-005 FCGT 0 2 0.000000E+000 8.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.719678E-005 FCGT 0 2 0.000000E+000 8.500000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -9.188051E-006 FCGT 0 2 0.000000E+000 9.000000E-001 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.129224E-006 BLNK FCGT 0 2 0.000000E+000 1.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.983628E-005 BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 SUMM 235 215 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.983587E-005 PROD 238 237 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.491793E-005 DIFF 239 225 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.552712E-005 OPLT 240 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.552712E-005 OPGT 240 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 DIVI 241 240 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E+000 DIVI 242 240 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK MINN 217 233 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.140502E-005 PROD 246 243 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.140502E-005 MAXX 217 233 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.129224E-006 PROD 248 244 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 SUMM 247 249 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -3.140502E-005 BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 SUMM 250 235 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.568738E-006 PROD 253 252 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.843691E-007 DIFF 254 215 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.839573E-007 BLNK BLNK For astigmatism, the mean sagittal and tangential planes need to be BLNK identical. BLNK DIFF 255 132 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.839870E-007 PROD 260 196 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK BLNK Coma differs by pass. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 PROD 265 14 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E+000 DIFF 265 266 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK BLNK Simple Seidel calculation for preliminary design. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK COMA 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.083267E-001 DIFF 273 271 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.083267E-001 PROD 274 267 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 0.000000E+000 BLNK BLNK A 70%/100% weighted sum of the OSC for the final solution. BLNK BLNK First, find the two zones. Note: the 0.5 here is for half the BLNK aperture. The first zone is still the 100% zone. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.000000000000E-001 0.000000E+000 5.000000E-001 PROD 282 71 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.250000E+002 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 7.071070000000E-001 0.000000E+000 7.071070E-001 PROD 284 283 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 8.838838E+001 BLNK BLNK Find the zonal focal lengths; Note: the zones here must BLNK match those above. Also, the wavelength must match that BLNK used in the effective focal length calculation. BLNK REAB 13 2 0.000000E+000 0.000000E+000 0.000000E+000 1.000000E+000 0.000000000000E+000 0.000000E+000 -4.999974E-002 DIVI 283 291 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.500013E+003 REAB 13 2 0.000000E+000 0.000000E+000 0.000000E+000 7.071070E-001 0.000000000000E+000 0.000000E+000 -3.535582E-002 DIVI 285 293 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.499967E+003 BLNK BLNK Find the zonal errors. BLNK SUMM 292 73 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.323202E-002 SUMM 294 73 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.308006E-002 BLNK BLNK Use ( a * 100% value + b * 70% value ) / ( a + b ) BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 4.000000000000E-001 0.000000E+000 4.000000E-001 SUMM 303 304 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.400000E+000 BLNK PROD 298 303 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.323202E-002 PROD 299 304 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.323202E-002 SUMM 308 307 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.220077E-010 DIVI 309 305 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.585769E-010 PROD 310 266 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 1.585769E-010 BLNK BLNK Spherical aberration is also pass dependent BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 PROD 315 14 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E+000 DIFF 315 316 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK BLNK Simple Seidel calculation for preliminary design. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 0.000000E+000 BLNK SPHA 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.609926E-002 DIFF 323 321 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.609926E-002 PROD 324 317 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 0.000000E+000 BLNK BLNK The final design uses a weighted sum of the 100% and 70% zones BLNK BLNK Find the longitudinal focal point for the two zones BLNK REAY 13 2 0.000000E+000 0.000000E+000 0.000000E+000 1.000000E+000 0.000000000000E+000 0.000000E+000 -2.248883E-005 REAB 13 2 0.000000E+000 0.000000E+000 0.000000E+000 1.000000E+000 0.000000000000E+000 0.000000E+000 -4.999974E-002 DIVI 331 332 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.497789E-004 BLNK REAY 13 2 0.000000E+000 0.000000E+000 0.000000E+000 7.071070E-001 0.000000000000E+000 0.000000E+000 3.975566E-005 REAB 13 2 0.000000E+000 0.000000E+000 0.000000E+000 7.071070E-001 0.000000000000E+000 0.000000E+000 -3.535582E-002 DIVI 335 336 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.124445E-003 BLNK BLNK Use the sagittal central portion as the reference. BLNK DIFF 333 84 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.497793E-004 DIFF 337 84 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.124444E-003 BLNK BLNK Use ( a * 100% value + b * 70% value ) / ( a + b ) BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 4.000000000000E-001 0.000000E+000 4.000000E-001 SUMM 303 304 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.400000E+000 BLNK PROD 346 341 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 4.000000000000E-001 0.000000E+000 4.497793E-004 PROD 347 342 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.497777E-004 SUMM 351 350 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.620992E-009 PROD 352 316 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 1.620992E-009 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK BLNK Zonal correction -- Force a particular zone to zero error BLNK Only apply this on final design BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-002 0.000000E+000 1.000000E-002 PROD 359 14 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.000000E-002 BLNK REAY 13 2 0.000000E+000 0.000000E+000 0.000000E+000 6.750000E-001 0.000000000000E+000 0.000000E+000 1.705605E-006 REAB 13 2 0.000000E+000 0.000000E+000 0.000000E+000 6.750000E-001 0.000000000000E+000 0.000000E+000 -3.375047E-002 DIVI 362 363 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -5.053573E-005 PROD 364 360 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -5.053573E-007 BLNK BLNK Field curvature -- Use net Petzval curvature BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK PETC 0 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.771996E-007 PROD 371 73 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.429990E-004 DIFF 372 26 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.999008E-006 PROD 373 369 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -2.999008E-007 BLNK BLNK BLNK ================================================================== BLNK Thicknesses BLNK ================================================================== BLNK BLNK Find the edge thickness for the convex lenses and the center BLNK thickness for concave lenses. To meet the physical requirements, BLNK these must be a nominal fraction of the semi-diameter. There is BLNK a small allowance for the diameter being larger than the clear BLNK aperture. The convex lens edge thickness calculation is simplified BLNK to assume isoconvexity. BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E+000 0.000000E+000 1.000000E+000 BLNK BLNK First doublet semi-diameter BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.300000000000E-001 0.000000E+000 5.300000E-001 DMVA 1 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.500000E+002 PROD 393 392 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.325000E+002 BLNK BLNK First lens; calculate the sagitta at the semi-diameter BLNK CVVA 2 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.389986E-003 PROD 398 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.841731E-001 PROD 399 399 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.391973E-002 DIFF 388 400 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.660803E-001 SQRT 401 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.828938E-001 SUMM 388 402 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.982894E+000 DIVI 399 403 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.288096E-002 PROD 404 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.230673E+001 BLNK CVVA 3 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.171709E-003 PROD 407 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.552514E-001 PROD 408 408 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.410300E-002 DIFF 388 409 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.758970E-001 SQRT 410 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.878750E-001 SUMM 388 411 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.987875E+000 DIVI 408 412 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -7.809918E-002 PROD 413 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.034814E+001 BLNK DIFF 405 414 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.265487E+001 OPLT 416 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.265487E+001 BLNK BLNK First lens edge thickness BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK TTHI 2 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.590481E+001 DIFF 423 417 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.324994E+001 DIVI 424 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.999958E-002 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 DIFF 425 426 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.158701E-007 PROD 427 421 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -4.158701E-008 BLNK BLNK Second lens central thickness BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK TTHI 4 4 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.656254E+001 DIVI 434 394 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.250003E-001 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.250000000000E-001 0.000000E+000 1.250000E-001 DIFF 435 436 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 3.367348E-007 PROD 437 432 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 3.367348E-008 BLNK BLNK Second doublet semi-diameter BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 5.300000000000E-001 0.000000E+000 5.300000E-001 DMVA 6 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.124419E+002 PROD 443 442 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 5.959423E+001 BLNK BLNK First lens; calculate the sagitta at the semi-diameter BLNK CVVA 7 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.461026E-004 PROD 448 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 8.706872E-003 PROD 449 449 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 7.580962E-005 DIFF 388 450 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.999242E-001 SQRT 451 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.999621E-001 SUMM 388 452 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.999962E+000 DIVI 449 453 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 4.353519E-003 PROD 454 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.594446E-001 BLNK CVVA 8 2 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -8.086787E-004 PROD 457 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.819258E-002 PROD 458 458 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 2.322525E-003 DIFF 388 459 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.976775E-001 SQRT 460 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.988381E-001 SUMM 388 461 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.998838E+000 DIVI 458 462 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -2.411030E-002 PROD 463 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -1.436835E+000 BLNK DIFF 455 464 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.696279E+000 OPLT 466 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.696279E+000 BLNK BLNK First lens edge thickness BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK TTHI 7 7 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 9.145566E+000 DIFF 473 467 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 7.449287E+000 DIVI 474 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.250001E-001 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.250000000000E-001 0.000000E+000 1.250000E-001 DIFF 475 476 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.464378E-007 PROD 477 471 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 1.464378E-008 BLNK BLNK Second lens central thickness BLNK CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.000000000000E-001 0.000000E+000 1.000000E-001 BLNK TTHI 10 10 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 7.449276E+000 DIVI 484 444 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 1.250000E-001 CONS 0 0 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 1.250000000000E-001 0.000000E+000 1.250000E-001 DIFF 485 486 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 0.000000E+000 -4.408530E-008 PROD 487 482 0.000000E+000 0.000000E+000 0.000000E+000 0.000000E+000 0.000000000000E+000 1.000000E+000 -4.408530E-009 BLNK BLNK