Table 1
10× Microscope Objective, NA = 0.25, K3, and F3
Glasses
Surface
Curvature (mm-1 )
Axial Separation (mm)
Material
Clear Diameter (mm)
1 Aperture stop 0 Air 8.5 2 0.0857800 3.2 K3 8.65 (n
e
= 1.520325) 3 -0.085760 1 F3 8.65 (n
e
= 1.616854) 4 0.009152 13.804338 Air 8.65 5 0.163200 2.0 K3 6.4 (n
e
= 1.520325) 6 -0.1608000 0.8 F3 6.4 (n
e
= 1.616854) 7 0.0241183 6.994045 Air 6.4 Image plane
2
Table 2
Normalized Residual Aberrations, Air-Spaced Solutions, f = 30.90 mm
Input data: Broken-contact aplanatic doublet Tolerance W
rms
0.05 Normalized aberration upper limit 3.223 Focal length 30.9 Short-conjugate numerical aperture 0.1125 Demagnification: short-/long-conjugate ratio -0.222 Basic wavelength 0.5461 Short wavelength 0.4861 Long wavelength 0.6563 Calcium fluoride included? Yes Output data: No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 23 0.070 1.169 -0.012 0.000 2 K4 0 CaF2-HH 1.52111 1.43496 0.07438 0.16859 0.17124 -0.01605 24 0.070 1.175 -0.095 0.000 0 CaF2-HH 2 K4 1.43496 1.52111 0.04880 -0.13849 -0.13555 -0.04133 69 0.183 0.980 0.120 0.000 1 KZFSN2 0 CaF2-HH 1.56082 1.43496 0.07747 0.15360 0.15637 -0.01619 70 0.183 0.990 0.031 0.000 0 CaF2-HH 1 KZFSN2 1.43496 1.56082 0.04895 -0.12361 -0.12042 -0.04429 79 0.224 0.765 -0.081 0.000 1 LAK16A 0 CaF2-HH 1.73687 1.43496 0.08894 0.14132 0.14622 -0.01693 80 0.224 0.792 -0.175 0.000 0 CaF2-HH 1 LAK16A 1.43496 1.73687 0.04971 -0.11344 -0.10757 -0.05519 101 0.307 0.739 0.036 0.000 2 LAK28 0 CaF2-HH 1.74778 1.43496 0.08867 0.13814 0.14246 -0.01700 102 0.307 0.765 -0.064 0.000 0 CaF2-HH 2 LAK28 1.43496 1.74778 0.04979 -0.10968 -0.10436 -0.05488 117 0.337 0.747 0.102 0.000 0 LAK10 0 CaF2-HH 1.72340 1.43496 0.08709 0.13746 0.14129 -0.01689 118 0.337 0.771 0.002 0.000 0 CaF2-HH 0 LAK10 1.43496 1.72340 0.04967 -0.10851 -0.10376 -0.05338 141 0.409 0.702 0.137 0.000 1 LAFN28 0 CaF2-HH 1.77685 1.43496 0.08913 0.13441 0.13813 -0.01715 142 0.409 0.729 0.030 0.000 0 CaF2-HH 1 LAFN28 1.43496 1.77685 0.04993 -0.10535 -0.10054 -0.05526 161 0.469 0.942 0.065 0.000 0 BALF4 0 CaF2-HH 1.58214 1.43496 0.07931 0.15126 0.15446 -0.01624 162 0.469 0.955 -0.023 0.000 0 CaF2-HH 0 BALF4 1.43496 1.58214 0.04900 -0.12170 -0.11801 -0.04606 173 0.482 0.912 -0.129 0.000 2 SSK1 0 CaF2-HH 1.61993 1.43496 0.08277 0.15092 0.15522 -0.01632 174 0.482 0.929 -0.209 0.000 0 CaF2-HH 2 SSK1 1.43496 1.61993 0.04909 -0.12245 -0.11754 -0.04939 181 0.498 0.684 0.281 0.000 2 LAFN24 0 CaF2-HH 1.76096 1.43496 0.08717 0.13012 0.13251 -0.01704 182 0.498 0.707 0.171 0.000 0 CaF2-HH 2 LAFN24 1.43496 1.76096 0.04982 -0.09973 -0.09630 -0.05335 189 0.514 0.916 -0.031 0.000 1 SSK51 0 CaF2-HH 1.60629 1.43496 0.08142 0.15028 0.15408 -0.01630 190 0.514 0.932 -0.115 0.000 0 CaF2-HH 1 SSK51 1.43496 1.60629 0.04906 -0.12132 -0.11695 -0.04809 195 0.528 0.973 0.241 0.000 0 BALF5 0 CaF2-HH 1.54982 1.43496 0.07610 0.15202 0.15417 -0.01620 196 0.528 0.981 0.145 0.000 0 CaF2-HH 0 BALF5 1.43496 1.54982 0.04896 -0.12142 -0.11887 -0.04295 203 0.537 0.665 0.287 0.000 0 LAFN21 0 CaF2-HH 1.79226 1.43496 0.08831 0.12898 0.13131 -0.01717 204 0.537 0.690 0.173 0.000 0 CaF2-HH 0 LAFN21 1.43496 1.79226 0.04995 -0.09852 -0.09507 -0.05440 209 0.545 0.884 -0.032 0.000 1 SSK2 0 CaF2-HH 1.62509 1.43496 0.08265 0.14810 0.15208 -0.01639 210 0.545 0.902 -0.117 0.000 0 CaF2-HH 1 SSK2 1.43496 1.62509 0.04915 -0.11931 -0.11470 -0.04925 228 0.573 1.282 0.207 0.000 2 KZFS6 1 ULTRAN30 1.59487 1.55006 0.05737 0.16041 0.16108 -0.00920 229 0.573 1.297 0.133 0.000 1 ULTRAN30 2 KZFS6 1.55006 1.59487 0.04233 -0.12795 -0.12714 -0.02410 236 0.587 0.873 0.054 0.000 2 SSK50 0 CaF2-HH 1.62075 1.43496 0.08194 0.14634 0.14992 -0.01640 237 0.587 0.889 -0.035 0.000 0 CaF2-HH 2 SSK50 1.43496 1.62075 0.04916 -0.11715 -0.11296 -0.04856 242 0.594 0.864 0.267 0.000 2 BALF50 0 CaF2-HH 1.59166 1.43496 0.07894 0.14306 0.14529 -0.01634 243 0.594 0.876 0.169 0.000 0 CaF2-HH 2 BALF50 1.43496 1.59166 0.04910 -0.11254 -0.10978 -0.04565 252 0.609 1.155 0.129 0.000 2 KZFS6 1 PK51A 1.59487 1.53019 0.06120 0.15436 0.15549 -0.01008 253 0.609 1.170 0.058 0.000 1 PK51A 2 KZFS6 1.53019 1.59487 0.04314 -0.12242 -0.12108 -0.02792 256 0.610 0.645 0.340 0.000 0 LASFN30 0 CaF2-HH 1.80730 1.43496 0.08824 0.12637 0.12799 -0.01719 257 0.610 0.670 0.224 0.000 0 CaF2-HH 0 LASFN30 1.43496 1.80730 0.04997 -0.09520 -0.09241 -0.05428 272 0.652 0.797 0.145 0.000 0 SSKN5 0 CaF2-HH 1.66152 1.43496 0.08375 0.13994 0.14326 -0.01660 273 0.652 0.816 0.049 0.000 0 CaF2-HH 0 SSKN5 1.43496 1.66152 0.04937 -0.11049 -0.10642 -0.05023 288 0.666 1.033 0.063 0.000 2 KZFS6 2 FK52 1.59487 1.48747 0.06936 0.14901 0.15112 -0.01247 289 0.666 1.048 -0.010 0.000 2 FK52 2 KZFS6 1.48747 1.59487 0.04540 -0.11819 -0.11573 -0.03608 296 0.681 0.837 0.213 0.000 2 SSK3 0 CaF2-HH 1.61769 1.43496 0.08086 0.14174 0.14444 -0.01643 297 0.681 0.852 0.117 0.000 0 CaF2-HH 2 SSK3 1.43496 1.61769 0.04919 -0.11167 -0.10837 -0.04749 316 0.725 0.802 0.311 0.000 0 SSKN8 0 CaF2-HH 1.62067 1.43496 0.08039 0.13755 0.13952 -0.01645 317 0.725 0.816 0.209 0.000 0 CaF2-HH 0 SSKN8 1.43496 1.62067 0.04921 -0.10675 -0.10417 -0.04701 320 0.725 0.753 0.204 0.000 1 LAFN23 0 CaF2-HH 1.69230 1.43496 0.08488 0.13599 0.13901 -0.01675 321 0.725 0.773 0.102 0.000 0 CaF2-HH 1 LAFN23 1.43496 1.69230 0.04952 -0.10624 -0.10238 -0.05127 324 0.727 1.143 0.267 0.000 2 KZFSN9 1 ULTRAN30 1.60159 1.55006 0.05786 0.15061 0.15109 -0.00918 325 0.727 1.158 0.191 0.000 1 ULTRAN30 2 KZFSN9 1.55006 1.60159 0.04232 -0.11796 -0.11732 -0.02457 332 0.740 0.706 0.298 0.000 0 LAF3 0 CaF2-HH 1.72055 1.43496 0.08534 0.13098 0.13316 -0.01686 333 0.740 0.727 0.191 0.000 0 CaF2-HH 0 LAF3 1.43496 1.72055 0.04963 -0.10038 -0.09728 -0.05164 341 0.747 1.045 0.223 0.000 2 KZFSN9 1 PK51A 1.60159 1.53019 0.06146 0.14579 0.14662 -0.01011 342 0.747 1.059 0.147 0.000 1 PK51A 2 KZFSN9 1.53019 1.60159 0.04318 -0.11355 -0.11249 -0.02817 351 0.761 1.360 -0.022 0.000 1 K10 2 FK54 1.50349 1.43815 0.07165 0.17782 0.18006 -0.01581 352 0.761 1.364 -0.106 0.000 2 FK54 1 K10 1.43815 1.50349 0.04857 -0.14730 -0.14484 -0.03866 353 0.762 0.729 0.315 0.000 2 LAF20 0 CaF2-HH 1.68584 1.43496 0.08365 0.13209 0.13407 -0.01671 354 0.762 0.747 0.209 0.000 0 CaF2-HH 2 LAF20 1.43496 1.68584 0.04948 -0.10130 -0.09850 -0.05006 357 0.774 0.932 0.220 0.000 2 KZFS6 0 FK51 1.59487 1.48794 0.06857 0.14232 0.14372 -0.01251 358 0.774 0.945 0.139 0.000 0 FK51 2 KZFS6 1.48794 1.59487 0.04545 -0.11079 -0.10904 -0.03529 367 0.782 0.954 0.194 0.000 2 KZFSN9 2 FK52 1.60159 1.48747 0.06927 0.14194 0.14352 -0.01254 368 0.782 0.968 0.113 0.000 2 FK52 2 KZFSN9 1.48747 1.60159 0.04548 -0.11059 -0.10863 -0.03597 372 0.787 0.982 0.227 0.000 1 ULTRAN30 2 KZFS1 1.55006 1.61638 0.04227 -0.10426 -0.10389 -0.02563 373 0.789 0.932 0.220 0.000 2 KZFS6 1 ULTRAN20 1.59487 1.48794 0.06857 0.14231 0.14371 -0.01251 375 0.790 0.742 0.319 0.000 2 BAFN11 0 CaF2-HH 1.66999 1.43496 0.08287 0.13291 0.13484 -0.01664 376 0.790 0.759 0.214 0.000 0 CaF2-HH 2 BAFN11 1.43496 1.66999 0.04941 -0.10207 -0.09937 -0.04933 383 0.801 0.902 0.293 0.000 2 KZFS1 1 PK51A 1.61638 1.53019 0.06225 0.13396 0.13430 -0.01011 384 0.801 0.916 0.215 0.000 1 PK51A 2 KZFS1 1.53019 1.61638 0.04318 -0.10123 -0.10062 -0.02891 4935 3.220 1.486 -0.197 0.000 2 F3 2 K3 1.61685 1.52032 0.06593 0.15507 0.15747 -0.01040 4936 3.220 1.511 -0.252 0.000 2 K3 2 F3 1.52032 1.61685 0.04344 -0.12443 -0.12173 -0.03259
Table 3
Normalized right Aberrations, Cemented Solutions,
f = 30.90 mm
Input data:
Cemented achromatic doublets Tolerance W
rms
0.05 Normalized aberration upper limit 3.250 Focal length 30.90 Short-conjugate numerical aperture 0.1125 Demagnification: short-/long-conjugate ratio -0.222 Basic wavelength 0.5461 Short wavelength 0.4861 Long wavelength 0.6563 Calcium fluoride included? Yes Output data: No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 184 0.285 0.775 0.467 -0.207 1 KZFN2 0 CaF2-HH 1.53188 1.43496 0.05696 0.12906 0.12906 -0.03351 185 0.285 0.805 0.414 0.200 0 CaF2-HH 1 KZFN2 1.43496 1.53188 0.06524 -0.09734 -0.09734 -0.02523 200 0.307 0.617 0.551 -0.493 2 LAK28 0 CaF2-HH 1.74778 1.43496 0.05640 0.10588 0.10588 -0.05358 201 0.307 0.682 0.468 0.492 0 CaF2-HH 2 LAK28 1.43496 1.74778 0.08532 -0.07415 -0.07415 -0.02467 213 0.325 0.661 0.409 -0.213 2 KZFS6 0 CaF2-HH 1.59487 1.43496 0.06126 0.11783 0.11783 -0.03394 214 0.325 0.694 0.357 0.215 0 CaF2-HH 2 KZFS6 1.43496 1.59487 0.06636 -0.08541 -0.08541 -0.02884 223 0.337 0.615 0.524 -0.459 0 LAK10 0 CaF2-HH 1.72340 1.43496 0.05642 0.10679 0.10679 -0.05139
224
0.337
0.677
0.447
0.457
0
CaF2-HH
0
LAK10
1.43496
1.72340
0.08310
-0.07508
-0.07508
-0.02471 285 0.409 0.585 0.500 -0.448 1 LAFN28 0 CaF2-HH 1.77685 1.43496 0.05924 0.10452 0.10452 -0.05076 286 0.409 0.649 0.427 0.452 0 CaF2-HH 1 LAFN28 1.43496 1.77685 0.08281 -0.07247 -0.07247 -0.02719 297 0.420 0.685 0.403 -0.093 2 KZFSN9 0 CaF2-HH 1.60159 1.43496 0.07015 0.12245 0.12245 -0.02429 298 0.420 0.687 0.338 0.135 0 CaF2-HH 2 KZFSN9 1.43496 1.60159 0.06023 -0.08651 -0.08651 -0.03421 335 0.472 0.812 0.479 -0.183 2 KF6 0 CaF2-HH 1.51978 1.43496 0.05748 0.13307 0.13307 -0.03166 336 0.472 0.839 0.425 0.177 0 CaF2-HH 2 KF6 1.43496 1.51978 0.06352 -0.10122 -0.10122 -0.02563 355 0.498 0.562 0.427 -0.351 2 LAFN24 0 CaF2-HH 1.76096 1.43496 0.06235 0.10530 0.10530 -0.04424 356 0.498 0.618 0.368 0.359 0 CaF2-HH 2 LAFN24 1.43496 1.76096 0.07673 -0.07281 -0.07281 -0.02987 385 0.532 0.795 0.464 -0.168 1 KF9 0 CaF2-HH 1.52583 1.43496 0.05908 0.13161 0.13161 -0.03048 386 0.532 0.819 0.410 0.166 0 CaF2-HH 1 KF9 1.43496 1.52583 0.06265 -0.09943 -0.09943 -0.02691 391 0.537 0.550 0.421 -0.348 0 LAFN21 0 CaF2-HH 1.79226 1.43496 0.06374 0.10441 0.10441 -0.04407 392 0.537 0.607 0.363 0.359 0 CaF2-HH 0 LAFN21 1.43496 1.79226 0.07679 -0.07169 -0.07169 -0.03102 395 0.545 0.728 0.428 -0.167 1 KZFN1 0 CaF2-HH 1.55379 1.43496 0.06150 0.12521 0.12521 -0.03030 396 0.545 0.752 0.376 0.170 0 CaF2-HH 1 KZFN1 1.43496 1.55379 0.06294 -0.09257 -0.09257 -0.02887 425 0.573 1.073 0.430 -0.252 2 KZFS6 1 ULTRAN30 1.59487 1.55006 0.03642 0.13947 0.13947 -0.03081 426 0.573 1.126 0.391 0.232 1 ULTRAN30 2 KZFS6 1.55006 1.59487 0.06192 -0.10836 -0.10836 -0.00531 443 0.594 0.690 0.501 -0.356 2 BALF50 0 CaF2-HH 1.59166 1.43496 0.05309 0.11722 0.11722 -0.04442 444 0.594 0.736 0.435 0.345 0 CaF2-HH 2 BALF50 1.43496 1.59166 0.07569 -0.08594 -0.08594 -0.02181 457 0.609 0.944 0.441 -0.305 2 KZFS6 1 PK51A 1.59487 1.53019 0.03688 0.13004 0.13004 -0.03552
458
0.609
0.998
0.395
0.286
1
PK51A
2
KZFS6
1.53019
1.59487
0.06658
-0.09899
-0.09899
-0.00583 461 0.610 0.535 0.389 -0.294 0 LASFN30 0 CaF2-HH 1.80730 1.43496 0.06673 0.10486 0.10486 -0.04031 462 0.610 0.588 0.338 0.313 0 CaF2-HH 0 LASFN30 1.43496 1.80730 0.07368 -0.07150 -0.07150 -0.03337 500 0.652 0.645 0.521 -0.429 0 SSKN5 0 CaF2-HH 1.66152 1.43496 0.05428 0.11047 0.11047 -0.04939 501 0.652 0.700 0.447 0.423 0 CaF2-HH 0 SSKN5 1.43496 1.66152 0.08085 -0.07902 -0.07902 -0.02283 518 0.666 0.828 0.490 -0.380 2 KZFS6 2 FK52 1.59487 1.48747 0.04105 0.12071 0.12071 -0.04289 519 0.666 0.884 0.429 0.364 2 FK52 2 KZFS6 1.48747 1.59487 0.07391 -0.08968 -0.08968 -0.01003 530 0.681 0.670 0.509 -0.388 2 SSK3 0 CaF2-HH 1.61769 1.43496 0.05334 0.11422 0.11422 -0.04664 531 0.681 0.720 0.440 0.379 0 CaF2-HH 2 SSK3 1.43496 1.61769 0.07797 -0.08290 -0.08290 -0.02201 573 0.725 0.647 0.455 -0.326 0 SSKN8 0 CaF2-HH 1.62067 1.43496 0.05654 0.11369 0.11369 -0.04227 574 0.725 0.692 0.394 0.320 0 CaF2-HH 0 SSKN8 1.43496 1.62067 0.07391 -0.08205 -0.08205 -0.02489 577 0.725 0.612 0.482 -0.401 1 LAFN23 0 CaF2-HH 1.69230 1.43496 0.05711 0.10822 0.10822 -0.04754 578 0.725 0.668 0.413 0.399 0 CaF2-HH 1 LAFN23 1.43496 1.69230 0.07929 -0.07647 -0.07647 -0.02535 583 0.727 0.971 0.357 -0.206 2 KZFSN9 1 ULTRAN30 1.60159 1.55006 0.04052 0.13327 0.13327 -0.02700 584 0.727 1.019 0.323 0.190 1 ULTRAN30 2 KZFSN9 1.55006 1.60159 0.05849 -0.10179 -0.10179 -0.00904 597 0.740 0.577 0.424 -0.335 0 LAF3 0 CaF2-HH 1.72055 1.43496 0.06133 0.10697 0.10697 -0.04304 598 0.740 0.629 0.366 0.340 0 CaF2-HH 0 LAF3 1.43496 1.72055 0.07537 -0.07465 -0.07465 -0.02901 599 0.741 0.577 0.299 0.169 0 CaF2-HH 2 LAFN10 1.43496 1.78867 0.06326 -0.07506 -0.07506 -0.03981 614 0.747 0.866 0.365 -0.250 2 KZFSN9 1 PK51A 1.60159 1.53019 0.04110 0.12543 0.12543 -0.03129 615 0.747 0.915 0.326 0.235 1 PK51A 2 KZFSN9 1.53019 1.60159 0.06266 -0.09406 -0.09406 -0.00973 628 0.762 0.594 0.424 -0.321 2 LAF20 0 CaF2-HH 1.68584 1.43496 0.06037 0.10881 0.10881 -0.04197 629 0.762 0.643 0.366 0.322 0 CaF2-HH 2 LAF20 1.43496 1.68584 0.07414 -0.07664 -0.07664 -0.02820 630 0.763 1.034 0.451 -0.131 1 KZFN2 0 FK51 1.53188 1.48794 0.05083 0.14691 0.14691 -0.02415 634 0.774 0.757 0.405 -0.300 2 KZFS6 0 FK51 1.59487 1.48794 0.04544 0.11919 0.11919 -0.03705 635 0.774 0.804 0.357 0.286 0 FK51 2 KZFS6 1.48794 1.59487 0.06836 -0.08788 -0.08788 -0.01413 638 0.779 1.034 0.450 -0.131 1 KZFN2 1 ULTRAN20 1.53188 1.48794 0.05085 0.14692 0.14692 -0.02412 639 0.779 1.060 0.407 0.124 1 ULTRAN20 1 KZFN2 1.48794 1.53188 0.05620 -0.11485 -0.11485 -0.01878 651 0.782 0.772 0.411 -0.317 2 KZFSN9 2 FK52 1.60159 1.48747 0.04510 0.11776 0.11776 -0.03830 652 0.782 0.823 0.361 0.303 2 FK52 2 KZFSN9 1.48747 1.60159 0.06960 -0.08647 -0.08647 -0.01380 653 0.783 0.665 0.407 -0.202 2 BAFN6 0 CaF2-HH 1.59189 1.43496 0.06176 0.11846 0.11846 -0.03311 654 0.783 0.696 0.356 0.206 0 CaF2-HH 2 BAFN6 1.43496 1.59189 0.06565 -0.08591 -0.08591 -0.02921 655 0.787 0.856 0.285 -0.128 2 KZFS1 1 ULTRAN30 1.61638 1.55006 0.04781 0.12607 0.12607 -0.02046 656 0.787 0.888 0.254 0.128 1 ULTRAN30 2 KZFS1 1.55006 1.61638 0.05328 -0.09325 -0.09325 -0.01499 657 0.789 0.757 0.405 -0.300 2 KZFS6 1 ULTRAN20 1.59487 1.48794 0.04545 0.11918 0.11918 -0.03704 658 0.789 0.804 0.356 0.286 1 ULTRAN20 2 KZFS6 1.48794 1.59487 0.06835 -0.08787 -0.08787 -0.01414 659 0.790 0.604 0.427 -0.317 2 BAFN11 0 CaF2-HH 1.66999 1.43496 0.05974 0.10978 0.10978 -0.04170 660 0.790 0.651 0.369 0.317 0 CaF2-HH 2 BAFN11 1.43496 1.66999 0.07378 -0.07771 -0.07771 -0.02767 669 0.801 0.777 0.290 -0.161 2 KZFS1 1 PK51A 1.61638 1.53019 0.04859 0.12030 0.12030 -0.02411 670 0.801 0.814 0.257 0.158 1 PK51A 2 KZFS1 1.53019 1.61638 0.05657 -0.08784 -0.08784 -0.01613 679 0.827 0.708 0.328 -0.214 2 KZFS1 2 FK52 1.61638 1.48747 0.05237 0.11484 0.11484 -0.03054 680 0.827 0.748 0.288 0.211 2 FK52 2 KZFS1 1.48747 1.61638 0.06272 -0.08266 -0.08266 -0.02019 4198 3.220 1.200 0.547 -0.438 2 F3 2 K3 1.61685 1.52032 0.03351 0.12264 0.12264 -0.04523
4199
3.220
1.284
0.482
0.420
2
K3
2
F3
1.52032
1.61685
0.07618
-0.09169
-0.09169
-0.00255
Table 4
Normalized Residual Aberrations, Air-Spaced Solutions,
f = 16.36 mm
Input data: Broken contact aplanatic doublets Tolerance, W
rms
0.05 Normalized aberration upper limit 1.710 Focal length 16.36 Short-conjugate numerical aperture 0.25 Demagnification: short-/long-conjugate ratio 0.45 Basic wavelength 0.5461 Short wavelength 0.4861 Long wavelength 0.6563 Calcium fluoride included? Yes Output data: No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 19 0.033 0.226 0.253 0.000 0 LAK8 0 CaF2-HH 1.71616 1.43496 -0.32060 -0.20956 0.07793 -0.24543 52 0.072 0.246 0.233 0.000 1 LAK31 0 CaF2-HH 1.69967 1.43496 -0.35400 -0.22699 0.06372 -0.28113 54 0.072 0.310 0.249 0.000 0 LAK21 0 CaF2-HH 1.64303 1.43496 -0.41249 -0.24995 0.03947 -0.34136 61 0.087 0.584 -0.054 0.000 0 CaF2-HH 1 K10 1.43496 1.50349 0.19099 -0.15376 -0.14896 0.02746 68 0.097 0.302 0.518 0.000 1 KZFSN2 0 CaF2-HH 1.56082 1.43496 -0.33062 -0.18684 0.07606 -0.24986 69 0.097 0.506 -0.133 0.000 0 CaF2-HH 1 KZFSN2 1.43496 1.56082 0.19099 -0.13493 -0.12651 0.01727 76 0.107 0.206 0.230 0.000 2 LAK33 0 CaF2-HH 1.75740 1.43496 -0.30367 -0.20473 0.08500 -0.22782 78 0.119 0.210 0.244 0.000 1 LAK16A 0 CaF2-HH 1.73687 1.43496 -0.29715 -0.19821 0.08789 -0.22026 79 0.119 0.414 -0.216 0.000 0 CaF2-HH 1 LAK16A 1.43496 1.73687 0.19237 -0.11578 -0.10061 -0.00167 89 0.151 0.291 0.482 0.000 1 KZFN2 0 CaF2-HH 1.53188 1.43496 -0.30327 -0.16707 0.08810 -0.21897 90 0.151 0.469 0.031 0.000 0 CaF2-HH 1 KZFN2 1.43496 1.53188 0.19118 -0.11589 -0.11170 0.02449 97 0.160 0.299 0.444 0.000 0 SK2 0 CaF2-HH 1.60993 1.43496 -0.36069 -0.21353 0.06229 -0.28460 99 0.163 0.204 0.238 0.000 2 LAK28 0 CaF2-HH 1.74778 1.43496 -0.28654 -0.19310 0.09241 -0.20877 100 0.163 0.399 -0.160 0.000 0 CaF2-HH 2 LAK28 1.43496 1.74778 0.19254 -0.10864 -0.09433 -0.00088 102 0.166 0.334 0.685 0.000 2 KF3 0 CaF2-HH 1.51678 1.43496 -0.33998 -0.18027 0.07361 -0.25668 103 0.166 0.536 -0.030 0.000 0 CaF2-HH 2 KF3 1.43496 1.51678 0.19104 -0.13925 -0.13420 0.02551 106 0.172 0.241 0.308 0.000 2 KZFS6 0 CaF2-HH 1.59487 1.43496 -0.26948 -0.16264 0.10089 -0.18577 107 0.172 0.405 0.024 0.000 0 CaF2-HH 2 KZFS6 1.43496 1.59487 0.19147 -0.09519 -0.08951 0.01733 113 0.178 0.210 0.248 0.000 0 LAK10 0 CaF2-HH 1.72340 1.43496 -0.28351 -0.18837 0.09381 -0.20495
114
0.178
0.399
-0.128
0.000
0
CaF2-HH
0
LAK10
1.43496
1.72340
0.19235
-0.10642
-0.09332
0.00182 132 0.216 0.193 0.224 0.000 1 LAFN28 0 CaF2-HH 1.77685 1.43496 -0.27434 -0.18881 0.09761 -0.19567 133 0.216 0.380 -0.113 0.000 0 CaF2-HH 1 LAFN28 1.43496 1.77685 0.19285 -0.10043 -0.08674 -0.00122 136 0.222 0.230 0.273 0.000 2 KZFSN9 0 CaF2-HH 1.60159 1.43496 -0.25522 -0.15644 0.10681 -0.17035 137 0.222 0.384 0.047 0.000 0 CaF2-HH 2 KZFSN9 1.43496 1.60159 0.19149 -0.08567 -0.08115 0.01764 138 0.223 0.271 0.108 0.000 1 LAK31 2 FK54 1.69967 1.43815 -0.39570 -0.25132 0.04447 -0.32560 148 0.249 0.286 0.452 0.000 0 BALF4 0 CaF2-HH 1.58214 1.43496 -0.32412 -0.18823 0.07825 -0.24415 149 0.249 0.489 -0.155 0.000 0 CaF2-HH 0 BALF4 1.43496 1.58214 0.19108 -0.13132 -0.12174 0.01416 150 0.249 0.215 0.227 0.000 2 KZFS1 0 CaF2-HH 1.61638 1.43496 -0.23456 -0.14797 0.11543 -0.14780 151 0.249 0.356 0.069 0.000 0 CaF2-HH 2 KZFS1 1.43496 1.61638 0.19148 -0.07175 -0.06907 0.01752 154 0.250 0.303 0.534 0.000 2 KF6 0 CaF2-HH 1.51978 1.43496 -0.31022 -0.16744 0.08561 -0.22553 155 0.250 0.483 0.042 0.000 0 CaF2-HH 2 KF6 1.43496 1.51978 0.19117 -0.11997 -0.11637 0.02641 162 0.261 0.265 0.175 0.000 1 LAKN14 2 FK54 1.69980 1.43815 -0.37904 -0.24131 0.05170 -0.30777 166 0.264 0.192 0.220 0.000 2 LAFN24 0 CaF2-HH 1.76096 1.43496 -0.25886 -0.17774 0.10432 -0.17813 167 0.264 0.365 -0.041 0.000 0 CaF2-HH 2 LAFN24 1.43496 1.76096 0.19271 -0.08974 -0.07859 0.00253 174 0.272 0.479 -0.197 0.000 0 CaF2-HH 1 SSK51 1.43496 1.60629 0.19118 -0.13063 -0.11954 0.01052 177 0.280 0.302 0.525 0.000 0 BALF5 0 CaF2-HH 1.54982 1.43496 -0.32486 -0.18146 0.07874 -0.24306 178 0.280 0.499 -0.078 0.000 0 CaF2-HH 0 BALF5 1.43496 1.54982 0.19105 -0.13075 -0.12362 0.01978 180 0.282 0.204 0.197 0.000 2 LAK33 2 FK52 1.75740 1.48747 -0.39757 -0.25285 0.02514 -0.32510 182 0.282 0.292 0.488 0.000 1 KF9 0 CaF2-HH 1.52583 1.43496 -0.30218 -0.16520 0.08871 -0.21742 183 0.282 0.468 0.046 0.000 0 CaF2-HH 1 KF9 1.43496 1.52583 0.19119 -0.11495 -0.11134 0.02565 184 0.284 0.185 0.212 0.000 0 LAFN21 0 CaF2-HH 1.79226 1.43496 -0.25546 -0.17865 0.10577 -0.17467 185 0.284 0.357 -0.040 0.000 0 CaF2-HH 0 LAFN21 1.43496 1.79226 0.19296 -0.08748 -0.07599 0.00082 187 0.288 0.264 0.377 0.000 1 KZFN1 0 CaF2-HH 1.55379 1.43496 -0.28185 -0.16153 0.09641 -0.19731 188 0.288 0.430 0.042 0.000 0 CaF2-HH 1 KZFN1 1.43496 1.55379 0.19127 -0.10245 -0.09822 0.02210 189 0.289 0.260 0.362 0.000 1 SSK2 0 CaF2-HH 1.62509 1.43496 -0.31577 -0.19215 0.08098 -0.23721 190 0.289 0.464 -0.195 0.000 0 CaF2-HH 1 SSK2 1.43496 1.62509 0.19135 -0.12684 -0.11509 0.00852 194 0.295 0.216 0.276 0.000 1 LAK16A 2 FK52 1.73687 1.48747 -0.38546 -0.24173 0.03098 -0.31167 203 0.303 0.666 -0.091 0.000 1 ULTRAN30 2 KZFS6 1.55006 1.59487 0.17977 -0.14183 -0.13905 0.05558 209 0.311 0.457 -0.154 0.000 0 CaF2-HH 2 SSK50 1.43496 1.62075 0.19139 -0.12273 -0.11178 0.00986 211 0.314 0.215 0.226 0.000 0 KZFSN4 0 CaF2-HH 1.61669 1.43496 -0.23422 -0.14784 0.11558 -0.14743 212 0.314 0.355 0.069 0.000 0 CaF2-HH 0 KZFSN4 1.43496 1.61669 0.19148 -0.07152 -0.06887 0.01751 213 0.315 0.262 0.374 0.000 2 BALF50 0 CaF2-HH 1.59166 1.43496 -0.29757 -0.17645 0.08916 -0.21613 214 0.315 0.446 -0.055 0.000 0 CaF2-HH 2 BALF50 1.43496 1.59166 0.19135 -0.11394 -0.10584 0.01528 216 0.319 0.188 0.496 0.000 2 LAK28 1 PK51A 1.74778 1.53019 -0.40904 -0.24993 0.00647 -0.33323 218 0.319 0.264 0.221 0.000 0 LAK9 2 FK54 1.69401 1.43815 -0.36826 -0.23382 0.05644 -0.29603 220 0.320 0.246 0.209 0.000 0 LAK8 2 FK54 1.71616 1.43815 -0.35450 -0.22934 0.06215 -0.28193
223
0.323
0.599
-0.115
0.000
1
PK51A
2
KZFS6
1.53019
1.59487
0.18113
-0.13157
-0.12749
0.04847 225 0.323 0.180 0.203 0.000 0 LASFN30 0 CaF2-HH 1.80730 1.43496 -0.24634 -0.17433 0.10973 -0.16446 226 0.323 0.345 -0.014 0.000 0 CaF2-HH 0 LASFN30 1.43496 1.80730 0.19303 -0.08117 -0.07070 0.00131 230 0.333 0.326 0.103 0.000 0 LAKN7 2 FK54 1.65425 1.43815 -0.43583 -0.26527 0.02787 -0.36631 239 0.345 0.232 0.292 0.000 0 SSKN5 0 CaF2-HH 1.66152 1.43496 -0.28992 -0.18380 0.09149 -0.21045 240 0.345 0.420 -0.107 0.000 0 CaF2-HH 0 SSKN5 1.43496 1.66152 0.19182 -0.11012 -0.09889 0.00723 243 0.352 0.192 0.250 0.000 2 LAK33 0 FK51 1.75740 1.48794 -0.36616 -0.23349 0.03936 -0.29185 245 0.352 0.274 0.244 0.000 1 LAKL12 2 FK54 1.68084 1.43815 -0.37205 -0.23363 0.05498 -0.29961 251 0.353 0.281 0.561 0.000 2 KZFS6 2 FK52 1.59487 1.48747 -0.33495 -0.18451 0.05668 -0.25231 252 0.353 0.536 -0.139 0.000 2 FK52 2 KZFS6 1.48747 1.59487 0.18494 -0.12405 -0.11728 0.03317 253 0.354 0.308 0.187 0.000 2 LAK11 2 FK54 1.66104 1.43815 -0.41192 -0.25293 0.03809 -0.34129 258 0.361 0.250 0.338 0.000 2 SSK3 0 CaF2-HH 1.61769 1.43496 -0.29430 -0.17931 0.09013 -0.21370 4649 1.706 0.369 0.784 0.000 2 F3 2 K3 1.61685 1.52032 -0.36770 -0.19934 0.03212 -0.28495 4650
1.706
0.779
-0.259
0.000
2
K3
2
F3
1.52032
1.61685
0.18152
-0.13555
-0.12861
0.03975
Table 5
Normalized Residual Aberrations, Cemented Solutions,
f = 16.36 mm
Input data: Cemented achromatic solutions Tolerance, W
rms
0.05 Normalized aberration upper limit 1.710 Focal length 16.36 Short-conjugate numerical aperture 0.25 Demagnification: short-/long-conjugate ratio 0.45 Basic wavelength 0.5461 Short wavelength 0.4861 Long wavelength 0.6563 Calcium fluoride included? Yes Output data: No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 158 0.107 0.426 0.152 1.338 0 CaF2-HH 2 LAK33 1.43496 1.75740 0.26856 -0.04426 -0.04426 0.05468 165 0.119 0.413 0.140 1.233 0 CaF2-HH 1 LAK16A 1.43496 1.73687 0.26348 -0.04467 -0.04467 0.05427 205 0.163 0.250 0.295 -1.183 2 LAK28 0 CaF2-HH 1.74778 1.43496 0.19479 0.28823 0.28823 -0.01295 206 0.163 0.396 0.126 1.149 0 CaF2-HH 2 LAK28 1.43496 1.74778 0.25931 -0.04187 -0.04187 0.05158 219 0.172 0.278 0.198 -0.680 2 KZFS6 0 CaF2-HH 1.59487 1.43496 0.19631 0.30315 0.30315 0.01650 220 0.172 0.367 0.099 0.590 0 CaF2-HH 2 KZFS6 1.43496 1.59487 0.22916 -0.05750 -0.05750 0.04934 229 0.178 0.251 0.279 -1.119 0 LAK10 0 CaF2-HH 1.72340 1.43496 0.19416 0.28930 0.28930 -0.00947
230
0.178
0.389
0.121
1.072
0
CaF2-HH
0
LAK10
1.43496
1.72340
0.25543
-0.04333
-0.04333
0.05181 295 0.216 0.234 0.262 -1.077 1 LAFN28 0 CaF2-HH 1.77685 1.43496 0.20057 0.28609 0.28609 -0.00719 296 0.216 0.377 0.113 1.073 0 CaF2-HH 1 LAFN28 1.43496 1.77685 0.25555 -0.03773 -0.03773 0.04779 308 0.222 0.275 0.174 -0.507 2 KZFSN9 0 CaF2-HH 1.60159 1.43496 0.20618 0.30497 0.30497 0.02781 309 0.222 0.351 0.089 0.481 0 CaF2-HH 2 KZFSN9 1.43496 1.60159 0.22267 -0.05449 -0.05449 0.04429 346 0.250 0.351 0.230 -0.670 2 KF6 0 CaF2-HH 1.51978 1.43496 0.18526 0.32803 0.32803 0.01688 347 0.250 0.432 0.130 0.504 0 CaF2-HH 2 KF6 1.43496 1.51978 0.22436 -0.08679 -0.08679 0.05599 367 0.264 0.225 0.215 -0.875 2 LAFN24 0 CaF2-HH 1.76096 1.43496 0.20568 0.28680 0.28680 0.00435 368 0.264 0.353 0.096 0.888 0 CaF2-HH 2 LAFN24 1.43496 1.76096 0.24592 -0.03653 -0.03653 0.04459 393 0.280 0.444 0.155 0.819 0 CaF2-HH 0 BALF5 1.43496 1.54982 0.24253 -0.07927 -0.07927 0.06413 396 0.282 0.341 0.220 -0.644 1 KF9 0 CaF2-HH 1.52583 1.43496 0.18771 0.32469 0.32469 0.01856 397 0.282 0.420 0.123 0.491 0 CaF2-HH 1 KF9 1.43496 1.52583 0.22350 -0.08263 -0.08263 0.05435 402 0.284 0.217 0.209 -0.854 0 LAFN21 0 CaF2-HH 1.79226 1.43496 0.20918 0.28599 0.28599 0.00555 403 0.284 0.348 0.094 0.896 0 CaF2-HH 0 LAFN21 1.43496 1.79226 0.24641 -0.03403 -0.03403 0.04278 406 0.288 0.308 0.202 -0.627 1 KZFN1 0 CaF2-HH 1.55379 1.43496 0.19325 0.31357 0.31357 0.01985 407 0.288 0.388 0.107 0.508 0 CaF2-HH 1 KZFN1 1.43496 1.55379 0.22439 -0.06934 -0.06934 0.05098 408 0.289 0.305 0.340 -1.226 1 SSK2 0 CaF2-HH 1.62509 1.43496 0.17912 0.30274 0.30274 -0.01544 409 0.289 0.433 0.157 1.099 0 CaF2-HH 1 SSK2 1.43496 1.62509 0.25701 -0.06118 -0.06118 0.06244 436 0.303 0.472 0.214 -0.804 2 KZFS6 1 ULTRAN30 1.59487 1.55006 0.14754 0.34217 0.34217 0.02056 437 0.303 0.601 0.134 0.582 1 ULTRAN30 2 KZFS6 1.55006 1.59487 0.21951 -0.10209 -0.10209 0.09254 447 0.311 0.423 0.147 1.033 0 CaF2-HH 2 SSK50 1.43496 1.62075 0.25357 -0.06055 -0.06055 0.06108 456 0.315 0.297 0.262 -0.953 2 BALF50 0 CaF2-HH 1.59166 1.43496 0.18397 0.30509 0.30509 -0.00019 457 0.315 0.404 0.127 0.818 0 CaF2-HH 2 BALF50 1.43496 1.59166 0.24215 -0.06314 -0.06314 0.05798 471 0.323 0.414 0.225 -0.890 2 KZFS6 1 PK51A 1.59487 1.53019 0.15059 0.32655 0.32655 0.01384
472
0.323
0.540
0.131
0.684
1
PK51A
2
KZFS6
1.53019
1.59487
0.22651
-0.08620
-0.08620
0.08976 475 0.323 0.211 0.187 -0.727 0 LASFN30 0 CaF2-HH 1.80730 1.43496 0.21531 0.28733 0.28733 0.01313 476 0.323 0.335 0.086 0.815 0 CaF2-HH 0 LASFN30 1.43496 1.80730 0.24210 -0.03210 -0.03210 0.03992 515 0.345 0.270 0.277 -1.078 0 SSKN5 0 CaF2-HH 1.66152 1.43496 0.18862 0.29475 0.29475 -0.00719 516 0.345 0.395 0.125 0.987 0 CaF2-HH 0 SSKN5 1.43496 1.66152 0.25109 -0.05084 -0.05084 0.05528 533 0.353 0.360 0.258 -1.020 2 KZFS6 2 FK52 1.59487 1.48747 0.16084 0.31128 0.31128 0.00230 534 0.353 0.487 0.134 0.843 2 FK52 2 KZFS6 1.48747 1.59487 0.23837 -0.07061 -0.07061 0.07983 569 0.368 0.341 0.186 -0.332 0 LLF6 0 CaF2-HH 1.53431 1.43496 0.20789 0.32811 0.32811 0.03990 570 0.368 0.389 0.102 0.321 0 CaF2-HH 0 LLF6 1.43496 1.53431 0.21278 -0.07543 -0.07543 0.04479 594 0.384 0.273 0.233 -0.881 0 SSKN8 0 CaF2-HH 1.62067 1.43496 0.19075 0.29870 0.29870 0.00412 595 0.384 0.380 0.111 0.778 0 CaF2-HH 0 SSKN8 1.43496 1.62067 0.23988 -0.05471 -0.05471 0.05325 598 0.384 0.252 0.252 -1.008 1 LAFN23 0 CaF2-HH 1.69230 1.43496 0.19440 0.29095 0.29095 -0.00325 599 0.384 0.378 0.112 0.948 0 CaF2-HH 1 LAFN23 1.43496 1.69230 0.24900 -0.04520 -0.04520 0.05135 604 0.385 0.417 0.172 -0.724 2 KZFSN9 1 ULTRAN30 1.60159 1.55006 0.15348 0.32867 0.32867 0.02595 605 0.385 0.537 0.104 0.517 1 ULTRAN30 2 KZFSN9 1.55006 1.60159 0.21513 -0.08759 -0.08759 0.08760 618 0.392 0.234 0.214 -0.859 0 LAF3 0 CaF2-HH 1.72055 1.43496 0.20254 0.28875 0.28875 0.00541 619 0.392 0.355 0.097 0.842 0 CaF2-HH 0 LAF3 1.43496 1.72055 0.24337 -0.03997 -0.03997 0.04624 635 0.396 0.371 0.181 -0.788 2 KZFSN9 1 PK51A 1.60159 1.53019 0.15706 0.31634 0.31634 0.02033 636 0.396 0.490 0.102 0.596 1 PK51A 2 KZFSN9 1.53019 1.60159 0.22105 -0.07496 -0.07496 0.08431 649 0.403 0.244 0.214 -0.844 2 LAF20 0 CaF2-HH 1.68584 1.43496 0.19965 0.29113 0.29113 0.00635 650 0.403 0.358 0.098 0.801 0 CaF2-HH 2 LAF20 1.43496 1.68584 0.24111 -0.04367 -0.04367 0.04781 655 0.410 0.324 0.206 -0.863 2 KZFS6 0 FK51 1.59487 1.48794 0.16750 0.30679 0.30679 0.01170 656 0.410 0.436 0.107 0.696 0 FK51 2 KZFS6 1.48794 1.59487 0.22995 -0.06514 -0.06514 0.07415 661 0.413 0.444 0.208 -0.624 1 KZFN2 1 ULTRAN20 1.53188 1.48794 0.16769 0.34914 0.34914 0.02608 662 0.413 0.537 0.131 0.416 1 ULTRAN20 1 KZFN2 1.48794 1.53188 0.21388 -0.10918 -0.10918 0.07227 674 0.414 0.330 0.211 -0.893 2 KZFSN9 2 FK52 1.60159 1.48747 0.16743 0.30468 0.30468 0.00991 675 0.414 0.448 0.108 0.730 2 FK52 2 KZFSN9 1.48747 1.60159 0.23186 -0.06291 -0.06291 0.07434 676 0.415 0.279 0.195 -0.663 2 BAFN6 0 CaF2-HH 1.59189 1.43496 0.19676 0.30385 0.30385 0.01759 677 0.415 0.367 0.099 0.574 0 CaF2-HH 2 BAFN6 1.43496 1.59189 0.22823 -0.05803 -0.05803 0.04906 678 0.417 0.347 0.127 -0.611 2 KZFS1 1 ULTRAN30 1.61638 1.55006 0.16265 0.31047 0.31047 0.03371 679 0.417 0.457 0.073 0.435 1 ULTRAN30 2 KZFS1 1.55006 1.61638 0.20964 -0.06712 -0.06712 0.08070 680 0.418 0.324 0.206 -0.863 2 KZFS6 1 ULTRAN20 1.59487 1.48794 0.16752 0.30679 0.30679 0.01172 681 0.418 0.436 0.107 0.696 1 ULTRAN20 2 KZFS6 1.48794 1.59487 0.22993 -0.06513 -0.06513 0.07414 682 0.418 0.250 0.216 -0.843 2 BAFN11 0 CaF2-HH 1.66999 1.43496 0.19799 0.29250 0.29250 0.00638 683 0.418 0.361 0.100 0.788 0 CaF2-HH 2 BAFN11 1.43496 1.66999 0.24036 -0.04575 -0.04575 0.04876 691 0.422 0.508 0.175 1.505 1 ULTRAN20 2 LAK28 1.48794 1.74778 0.27058 -0.04429 -0.04429 0.07942 692 0.423 0.374 0.094 0.238 0 CaF2-HH 2 LLF2 1.43496 1.54344 0.20736 -0.07134 -0.07134 0.03924 693 0.424 0.318 0.133 -0.641 2 KZFS1 1 PK51A 1.61638 1.53019 0.16735 0.30279 0.30279 0.03004 4606 1.706 0.525 0.292 -1.138 2 F3 2 K3 1.61685 1.52032 0.14747 0.31583 0.31583 -0.00124
4607
1.706
0.715
0.158
0.953
2
K3
2
F3
1.52032
1.61685
0.24192
-0.07515
-0.07515
0.09321
Table 6
10× Microscope Objective, NA = 0.25,
CaF2, and LAK10 Glasses
Surface
Curvature (mm-1 )
Axial Separation (mm)
Material
Clear Diameter (mm)
1 0.0942739 3.2 CaF2 9.56 (n
e
= 1.434956) 2 -0.0634996 1.0 LAK10 9.56 (n
e
= 1.723401) 3 -0.0113053 6.344598 Air 9.56 4 Aperture stop 4.680342 Air 8.5 5 0.1383787 2.0 CaF2 6.15 (n
e
= 1.434956) 6 -0.1246966 0.8 LAK10 6.15 (n
e
= 1.723401) 7 -0.0392744 8.792890 Air 6.15 Image plane
2
Table 7
Normalized Aberrations for Solutions CAF2-HH, BAK5
Front component f = 30.90, and broken-contact aplanatic solution No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 64 0.167 1.191 -0.866 0.000 0 CaF2-HH 2 BAK5 1.43496 1.55897 0.04851 -0.14514 -0.13984 -0.04705 Front component, f = 30.90, and cemented achromatic solution No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 118 0.167 0.992 0.878 0.620 0 CaF2-HH 2 BAK5 1.43496 1.55897 0.09354 -0.10011 -0.10011 -0.00732 Back component, f = 16.36, and broken-contact aplanatic solution No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 63 0.088 0.616 -0.587 0.000 0 CaF2-HH 2 BAK5 1.43496 1.55897 0.19000 -0.17577 -0.16369 0.01157 Back component, f = 16.36, and cemented achromatic solution No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 123
0.088
0.556
0.296
1.370
0
CaF2-HH
2
BAK5
1.43496
1.55897
0.27140
-0.09437
-0.09437
0.08089
Table 8
10× Microscope Objective, NA = 0.25, CaF2, and BAK5
Glasses
Surface
Curvature (mm-1 )
Axial Separation (mm)
Material
Clear Diameter (mm)
1 0.0782388 3.2 CaF2 11.72 (n
e
= 1.434956) 2 -0.0647465 1.0 BAK5 11.72 (n
e
= 1.558970) 3 0.0168204 16.627109 Air 11.72 4 Aperture stop 3.549584 Air 8.5 5 0.1482213 2.0 CaF2 6.35 (n
e
= 1.434956) 6 -0.1740094 0.8 BAK5 6.35 (n
e
= 1.558970) 7 -0.0487872 9.853117 Air 6.35 Image plane
2
Table 9
10× Microscope Objective, NA = 0.25, PK51A, and
KZFS6 Glasses
Surface
Curvature (mm-1 )
Axial Separation (mm)
Material
Clear Diameter (mm)
1 0.0615111 3.2 PK51A 9.7 (n
e
= 1.530194) 2 -0.0910395 1.0 KZFS6 9.7 (n
e
= 1.594869) 3 0.0012473 8.164004 Air 9.7 4 Aperture stop 5.640376 Air 8.5 5 0.1069301 2.4 PK51A 6.66 (n
e
= 1.530194) 6 -0.1553104 0.8 KZFS6 6.66 (n
e
= 1.594869) 7 -0.0227563 9.028697 Air 6.4 Image plane
2
Table 10
Data for the Camera
Objectivea
Surface
Curvature (mm-1 )
Axial separation (mm)
Material
Clear Diameter (mm)
1 Aperture stop 50 Air 30.0 2 0.0131937 3.92493 Ultran30 36.2 (n = 1.536900) 3 0.0026331 37.39083 Air 36.2 4 0.0136318 4.28726 Ultran30 32.3 (n = 1.536900) 5 -0.0036660 0.44430 Air 32.3 6 -0.0071420 2.81950 SiO2
32.0 (n = 1.446153) 7 0.0203129 154.46340 Air 32.0 8 0.0367616 2.81950 Ultran30 30.0 (n = 1.536900) 9 0.0646463 7.27166 SiO2
30.0 (n = 1.446153) 10 0.0365989 12.63809 Air 30.0 Image plane
13.4
a
Focal length, 225 mm and focal ratio,
f /7.5 for Ultran30 and SiO
2 glasses.
Table 11
Normalized Residual Aberrations, Cemented Solutions,
f = 225 mm
Input data: Cemented achromatic doublet solutions Tolerance, W
rms
0.05 Normalized aberration upper limit 4.0 Focal length 225.0 Short-conjugate numerical aperture 0.067 Demagnification: short-/long-conjugate ratio 0.0 Basic wavelength 1.3673 Short wavelength 0.8521 Long wavelength 2.3254 Calcium fluoride included? No Output data: No. SEC-C SPH-C Fifth S OSC A Glass 1 A Glass 2 Index 1 Index 2 CRV 1 CRV 2 CRV 3 CRV 4 1 0.019 0.626 0.127 -0.147 0 SK2 1 PK51A 1.59102 1.51789 0.00162 0.02413 0.02413 -0.01014 2 0.019 0.680 0.109 0.142 1 PK51A 0 SK2 1.51789 1.59102 0.01673 -0.01755 -0.01755 0.00497 3 0.027 1.099 0.227 -0.198 0 LAFN7 0 BAF51 1.72015 1.63175 -0.00151 0.02430 0.02430 -0.01216 4 0.027 1.205 0.198 0.194 0 BAF51 0 LAFN7 1.63175 1.72015 0.01887 -0.01759 -0.01759 0.00822 5 0.029 0.252 0.025 -0.090 2 LAFN10 1 ULTRAN30 1.75810 1.53690 0.00580 0.01550 0.01550 -0.00647
6
0.029
0.297
0.019
0.088
1
ULTRAN30
2
LAFN10
1.53690
1.75810
0.01325
-0.00872
-0.00872
0.00097 7 0.035 3.325 1.750 -0.508 2 KZFS8 1 LF7 1.69183 1.55557 -0.00678 0.03063 0.03063 -0.02396 8 0.035 3.567 1.555 0.507 1 LF7 2 KZFS8 1.55557 1.69183 0.03063 -0.02396 -0.02396 0.01345 9 0.042 0.578 0.131 -0.185 0 SK14 2 FK54 1.58707 1.42901 0.00429 0.02131 0.02131 -0.01233 10 0.042 0.639 0.106 0.182 2 FK54 0 SK14 1.42901 1.58707 0.01889 -0.01475 -0.01475 0.00227 11 0.045 3.302 1.071 -0.184 2 F9 0 BAF4 1.59817 1.58645 -0.00478 0.05135 0.05135 -0.01348 12 0.045 3.414 1.021 0.177 0 BAF4 2 F9 1.58645 1.59817 0.02004 -0.04479 -0.04479 0.01134 13 0.051 0.614 0.091 -0.109 0 BAK2 1 ULTRAN20 1.52563 1.47723 0.00313 0.02543 0.02543 -0.00844 14 0.051 0.657 0.079 0.104 1 ULTRAN20 0 BAK2 1.47723 1.52563 0.01497 -0.01891 -0.01891 0.00339 15 0.056 2.804 1.244 -0.554 2 LASF18A 2 BASF1 1.87613 1.60444 -0.00388 0.02361 0.02361 -0.02360 16 0.056 3.085 1.075 0.557 2 BASF1 2 LASF18A 1.60444 1.87613 0.03039 -0.01682 -0.01682 0.01068 17 0.056 3.773 2.630 -0.394 1 BASF64A 0 BAF51 1.67915 1.63175 -0.01153 0.04192 0.04192 -0.02257 18 0.056 3.963 2.446 0.391 0 BAF51 1 BASF64A 1.63175 1.67915 0.02925 -0.03524 -0.03524 0.01821 19 0.059 0.612 0.133 -0.172 1 SK7 1 ULTRAN20 1.59113 1.47723 0.00260 0.02237 0.02237 -0.01143 20 0.059 0.672 0.111 0.168 1 ULTRAN20 1 SK7 1.47723 1.59113 0.01801 -0.01579 -0.01579 0.00398 21 0.065 2.642 1.311 -0.472 0 LAFN21 0 SK10 1.76333 1.60603 -0.00623 0.02750 0.02750 -0.02232 22 0.065 2.862 1.156 0.472 0 SK10 0 LAFN21 1.60603 1.76333 0.02906 -0.02077 -0.02077 0.01297 23 0.072 1.743 0.525 -0.210 2 LAFN8 1 LAFN23 1.71018 1.66896 -0.00462 0.03314 0.03314 -0.01359 24 0.072 1.856 0.482 0.205 1 LAFN23 2 LAFN8 1.66896 1.71018 0.02029 -0.02644 -0.02644 0.01132 25 0.081 0.575 0.043 -0.082 1 KZFSN5 2 SK13 1.62973 1.57604 0.00334 0.02173 0.02173 -0.00609 26 0.081 0.628 0.037 0.077 2 SK13 1 KZFSN5 1.57604 1.62973 0.01273 -0.01509 -0.01509 0.00330 27 0.085 0.593 0.115 -0.150 2 SK12 1 ULTRAN20 1.56759 1.47723 0.00272 0.02302 0.02302 -0.01043 28 0.085 0.646 0.097 0.145 1 ULTRAN20 2 SK12 1.47723 1.56759 0.01699 -0.01646 -0.01646 0.00384 29 0.092 0.500 0.101 -0.166 0 LAKN22 2 FK52 1.63313 1.47665 0.00370 0.02012 0.02012 -0.01102 30 0.092 0.559 0.082 0.163 2 FK52 0 LAKN22 1.47665 1.63313 0.01763 -0.01351 -0.01351 0.00291 31 0.093 0.581 0.122 -0.165 1 SK3 0 FK51 1.59252 1.47725 0.00283 0.02201 0.02201 -0.01111 32 0.093 0.639 0.101 0.161 0 FK51 1 SK3 1.47725 1.59252 0.01769 -0.01544 -0.01544 0.00375 33 0.111 0.463 0.049 -0.079 1 K10 2 FK54 1.48717 1.42901 0.00575 0.02274 0.02274 -0.00691 34 0.111 0.496 0.041 0.073 2 FK54 1 K10 1.42901 1.48717 0.01342 -0.01623 -0.01623 0.00076 35 0.118 0.586 0.134 -0.185 0 LAKN12 1 PK51A 1.65926 1.51789 0.00209 0.02099 0.02099 -0.01165 36 0.118 0.653 0.111 0.182 1 PK51A 0 LAKN12 1.51789 1.65926 0.01829 -0.01435 -0.01435 0.00455 37 0.120 0.324 0.043 -0.121 2 LAK28 0 FK51 1.72153 1.47725 0.00611 0.01667 0.01667 -0.00861 38 0.120 0.377 0.034 0.119 0 FK51 2 LAK28 1.47725 1.72153 0.01532 -0.00997 -0.00997 0.00060 39 0.123 0.463 0.058 -0.097 2 K4 2 FK54 1.50442 1.42901 0.00533 0.02210 0.02210 -0.00797 40 0.123 0.500 0.049 0.092 2 FK54 2 K4 1.42901 1.50442 0.01449 -0.01558 -0.01558 0.00118 41 0.149 0.659 0.129 -0.142 2 SSK4A 1 ULTRAN30 1.60071 1.53690 0.00125 0.02479 0.02479 -0.00983 42 0.149 0.714 0.112 0.137 1 ULTRAN30 2 SSK4A 1.53690 1.60071 0.01642 -0.01820 -0.01820 0.00534 43 0.150 2.247 0.866 -0.330 0 LAFN7 2 BASF57 1.72015 1.62979 -0.00606 0.02962 0.02962 -0.01824 44 0.150 2.418 0.776 0.328 2 BASF57 0 LAFN7 1.62979 1.72015 0.02495 -0.02291 -0.02291 0.01277 45 0.179 1.554 0.495 -0.324 2 LAFN10 2 SSK4A 1.75810 1.60071 -0.00270 0.02384 0.02384 -0.01705 46 0.179 1.711 0.427 0.323 2 SSK4A 2 LAFN10 1.60071 1.75810 0.02378 -0.01711 -0.01711 0.00943 47 0.192 0.842 0.140 -0.171 2 KZFS8 0 BAF52 1.69183 1.58999 0.00046 0.02217 0.02217 -0.01082 48 0.192 0.931 0.120 0.167 0 BAF52 2 KZFS8 1.58999 1.69183 0.01751 -0.01549 -0.01549 0.00622 49 0.212 0.730 0.100 -0.142 2 KZFS8 2 BAF8 1.69183 1.60486 0.00101 0.02183 0.02183 -0.00933 50 0.212 0.808 0.086 0.138 2 BAF8 2 KZFS8 1.60486 1.69183 0.01602 -0.01515 -0.01515 0.00568 51 0.239 3.304 1.832 -0.385 0 SF64A 1 F6 1.67572 1.61257 -0.00936 0.03687 0.03687 -0.02139 52 0.239 3.496 1.680 0.382 1 F6 0 SF64A 1.61257 1.67572 0.02806 -0.03020 -0.03020 0.01604 53 0.241 0.222 0.013 -0.027 1 KZFSN5 2 FK52 1.62973 1.47665 0.00903 0.01676 0.01676 -0.00278 54 0.241 0.241 0.010 0.028 2 FK52 1 KZFSN5 1.47665 1.62973 0.00983 -0.00970 -0.00970 -0.00198 55 0.245 0.563 0.115 -0.160 1 SK11 2 FK54 1.54885 1.42901 0.00412 0.02212 0.02212 -0.01127 56 0.245 0.616 0.094 0.156 2 FK54 1 SK11 1.42901 1.54885 0.01780 -0.01558 -0.01558 0.00241 57 0.254 0.585 0.044 -0.083 2 KZFS7A 1 SSK2 1.65458 1.60482 0.00292 0.02205 0.02205 -0.00600 58 0.254 0.640 0.038 0.078 1 SSK2 2 KZFS7A 1.60482 1.65458 0.01266 -0.01539 -0.01539 0.00374 59 0.262 0.580 0.122 -0.167 0 SK4 0 FK51 1.59627 1.47725 0.00286 0.02188 0.02188 -0.01119 60 0.262 0.639 0.101 0.163 0 FK51 0 SK4 1.47725 1.59627 0.01777 -0.01529 -0.01529 0.00372 61 0.277 1.278 0.210 -0.139 0 FN11 1 BAF3 1.59727 1.56477 -0.00028 0.03098 0.03098 -0.00995 62 0.277 1.356 0.190 0.134 1 BAF3 0 FN11 1.56477 1.59727 0.01653 -0.02440 -0.02440 0.00686 63 0.301 0.267 0.021 -0.053 0 KZFSN4 2 FK54 1.59206 1.42901 0.00857 0.01728 0.01728 -0.00510 64 0.301 0.296 0.016 0.051 2 FK54 0 KZFSN4 1.42901 1.59206 0.01183 -0.01054 -0.01054 -0.00183 65 0.307 0.582 0.122 -0.165 1 SK7 0 FK51 1.59113 1.47725 0.00282 0.02207 0.02207 -0.01109 66 0.307 0.640 0.101 0.161 0 FK51 1 SK7 1.47725 1.59113 0.01767 -0.01549 -0.01549 0.00376 67 0.308 0.993 0.262 -0.262 1 LAFN28 1 PSK54 1.74945 1.57195 -0.00011 0.02139 0.02139 -0.01456 68 0.308 1.109 0.221 0.261 1 PSK54 1 LAFN28 1.57195 1.74945 0.02127 -0.01468 -0.01468 0.00683 69 0.309 1.075 0.233 -0.224 1 LASF14A 2 LAF20 1.79154 1.66203 -0.00165 0.02194 0.02194 -0.01298 70
0.309
1.196
0.200
0.222
2
LAF20
1
LASF14A
1.66203
1.79154
0.01976
-0.01516
-0.01516
0.00843
Table 12
Data for the Camera
Objectivea
Surface
Curvature (mm-1 )
Axial Separation (mm)
Material
Clear Diameter (mm)
1 Aperture stop 50 Air 30.0 2 0.0111099 3.92493 Ultran30 36.2 (n = 1.536900) 3 -0.0003659 37.39083 Air 36.2 4 0.0162207 4.28726 Ultran30 32.3 (n = 1.536900) 5 -0.0042714 0.386150 Air 32.3 6 -0.0048152 2.81950 LAFN10 32.0 (n = 1.758101) 7 0.0153725 162.00003 Air 32.0 8 0.0296418 2.81950 Ultran30 30.0 (n = 1.536900) 9 0.0496533 7.27166 LAFN10 30.0 (n = 1.758101) 10 0.0371633 14.105350 Air 30.0 Image plane
13.4
a
Focal length, 225 mm and focal ratio,
f /7.5 for Ultran30 and LAFN10 glasses.
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