Abstract
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Full Article | PDF ArticleMore Like This
I. C. Gardner
J. Opt. Soc. Am. 4(5) 274-282 (1920)
G. W. Moffitt and O. K. Kaspereit
J. Opt. Soc. Am. 11(3) 275-281 (1925)
T. Smith
J. Opt. Soc. Am. 6(1) 57-66 (1922)
I. C. Gardner
I. C. Gardner
Bureau of Standards, Washington, D. C.
No abstract available.
Full Article | PDF ArticleI. C. Gardner
J. Opt. Soc. Am. 4(5) 274-282 (1920)
G. W. Moffitt and O. K. Kaspereit
J. Opt. Soc. Am. 11(3) 275-281 (1925)
T. Smith
J. Opt. Soc. Am. 6(1) 57-66 (1922)
J. R. Roebuck
J. Opt. Soc. Am. 6(8) 865-874 (1922)
G. W. Moffitt
J. Opt. Soc. Am. 11(2) 147-168 (1925)
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barium crown, number 1 | ||||
---|---|---|---|---|
| ||||
NC | ND | NF | NF−NC | |
|
|
|
|
|
1.56706 | 1.570 | 1.57708 | .01002 | 56.88 |
1.56805 | 1.571 | 1.57811 | .01006 | 56.77 |
1.56904 | 1.572 | 1.57913 | .01009 | 56.66 |
1.57002 | 1.573 | 1.58015 | .01013 | 56.55 |
1.57101 | 1.574 | 1.58118 | .01017 | 56.44 |
1.57199 | 1.575 | 1.58220 | .01021 | 56.33 |
1.57298 | 1.576 | 1.58323 | .01025 | 56.22 |
1.57397 | 1.577 | 1.58425 | .01028 | 56.11 |
1.57496 | 1.578 | 1.58528 | .01032 | 56.00 |
1.57595 | 1.579 | 1.58631 | .01036 | 55.90 |
1.57694 | 1.580 | 1.58734 | .01040 | 55.80 |
| ||||
barium crown, number 2 | ||||
| ||||
1.56720 | 1.570 | 1.57703 | .00983 | 57.99 |
1.56818 | 1.571 | 1.57805 | .00987 | 57.85 |
1.56916 | 1.572 | 1.57907 | .00991 | 57.72 |
1.57015 | 1.573 | 1.58010 | .00995 | 57.59 |
1.57114 | 1.574 | 1.58113 | .00999 | 57.46 |
1.57213 | 1.575 | 1.58216 | .01003 | 57.33 |
1.57311 | 1.576 | 1.58318 | .01007 | 57.20 |
1.57410 | 1.577 | 1.58421 | .01011 | 57.07 |
1.57509 | 1.578 | 1.58523 | .01014 | 57.00 |
1.57608 | 1.579 | 1.58626 | .01018 | 56.88 |
1.57707 | 1.580 | 1.58729 | .01022 | 56.75 |
| ||||
medium flint | ||||
| ||||
1.60541 | 1.610 | 1.62174 | .01633 | 37.35 |
1.60638 | 1.611 | 1.62278 | .01640 | 37.25 |
1.60735 | 1.612 | 1.62382 | .01647 | 37.15 |
1.60832 | 1.613 | 1.62487 | .01655 | 37.05 |
1.60930 | 1.614 | 1.62592 | .01662 | 36.94 |
1.61027 | 1.615 | 1.62697 | .01670 | 36.84 |
1.61124 | 1.616 | 1.62802 | .01678 | 36.74 |
1.61221 | 1.617 | 1.62906 | .01685 | 36.64 |
1.61318 | 1.618 | 1.63010 | .01692 | 36.54 |
1.61415 | 1.619 | 1.63115 | .01700 | 36.43 |
1.61512 | 1.620 | 1.63219 | .01707 | 36.33 |
1.61609 | 1.621 | 1.63324 | .01715 | 36.23 |
1.61706 | 1.622 | 1.63429 | .01723 | 36.13 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .4656 | .4681 | .4707 | .4733 | .4761 | .4790 | .4820 | .4851 | .4882 | .4914 | .4946 |
1.611 | .4660 | .4685 | .4710 | .4736 | .4764 | .4792 | .4820 | .4849 | .4878 | .4908 | .4938 |
1.612 | .4664 | .4689 | .4713 | .4739 | .4766 | .4793 | .4820 | .4847 | .4875 | .4903 | .4930 |
1.613 | .4669 | .4693 | .4717 | .4742 | .4768 | .4794 | .4820 | .4846 | .4872 | .4898 | .4923 |
1.614 | .4674 | .4697 | .4721 | .4745 | .4770 | .4795 | .4820 | .4845 | .4869 | .4894 | .4917 |
1.615 | .4679 | .4702 | .4725 | .4749 | .4773 | .4797 | .4821 | .4844 | .4867 | .4890 | .4912 |
1.616 | .4684 | .4707 | .4729 | .4752 | .4776 | .4799 | .4821 | .4844 | .4866 | .4887 | .4908 |
1.617 | .4690 | .4712 | .4734 | .4756 | .4779 | .4801 | .4822 | .4844 | .4865 | .4885 | .4905 |
1.618 | .4696 | .4718 | .4739 | .4760 | .4782 | .4803 | .4823 | .4844 | .4864 | .4884 | .4903 |
1.619 | .4703 | .4724 | .4744 | .4764 | .4785 | .4805 | .4825 | .4844 | .4864 | .4883 | .4902 |
1.620 | .4711 | .4730 | .4749 | .4768 | .4788 | .4807 | .4826 | .4845 | .4864 | .4883 | .4902 |
1.621 | .4719 | .4737 | .4755 | .4773 | .4791 | .4810 | .4828 | .4846 | .4865 | .4883 | .4902 |
1.622 | .4727 | .4744 | .4761 | .4778 | .4795 | .4813 | .4830 | .4848 | .4866 | .4884 | .4902 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .3248 | .3228 | .3207 | .3186 | .3164 | .3142 | .3119 | .3095 | .3070 | .3044 | .3017 |
1.611 | .3279 | .3259 | .3238 | .3217 | .3195 | .3173 | .3150 | .3127 | .3102 | .3077 | .3052 |
1.612 | .3309 | .3289 | .3268 | .3247 | .3226 | .3204 | .3181 | .3158 | .3134 | .3109 | .3083 |
1.613 | .3340 | .3318 | .3297 | .3277 | .3256 | .3234 | .3211 | .3188 | .3165 | .3141 | .3117 |
1.614 | .3370 | .3348 | .3327 | .3307 | .3286 | .3264 | .3242 | .3219 | .3196 | .3173 | .3150 |
1.615 | .3400 | .3378 | .3357 | .3337 | .3316 | .3294 | .3272 | .3249 | .3227 | .3204 | .3182 |
1.616 | .3429 | .3408 | .3387 | .3367 | .3346 | .3324 | .3302 | .3280 | .3258 | .3236 | .3213 |
1.617 | .3458 | .3437 | .3416 | .3396 | .3375 | .3354 | .3332 | .3311 | .3289 | .3267 | .3245 |
1.618 | .3486 | .3465 | .3445 | .3425 | .3405 | .3384 | .3362 | .3341 | .3320 | .3298 | .3276 |
1.619 | .3513 | .3493 | .3473 | .3454 | .3434 | .3413 | .3391 | .3370 | .3350 | .3329 | .3307 |
1.620 | .3540 | .3520 | .3501 | .3483 | .3463 | .3442 | .3421 | .3400 | .3381 | .3360 | .3338 |
1.621 | .3567 | .3548 | .3530 | .3512 | .3493 | .3472 | .3452 | .3431 | .3411 | .3390 | .3368 |
1.622 | .3593 | .3576 | .3559 | .3541 | .3523 | .3503 | .3483 | .3463 | .3442 | .3420 | .3397 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | 5.654 | 5.772 | 5.902 | 6.046 | 6.207 | 6.385 | 6.583 | 6.799 | 7.034 | 7.300 | 7.611 |
1.611 | 5.766 | 5.893 | 6.029 | 6.168 | 6.341 | 6.521 | 6.717 | 6.930 | 7.159 | 7.404 | 7.676 |
1.612 | 5.897 | 6.033 | 6.178 | 6.333 | 6.500 | 6.677 | 6.867 | 7.069 | 7.284 | 7.511 | 7.747 |
1.613 | 6.054 | 6.194 | 6.345 | 6.505 | 6.675 | 6.853 | 7.037 | 7.226 | 7.420 | 7.618 | 7.818 |
1.614 | 6.242 | 6.396 | 6.555 | 6.717 | 6.882 | 7.048 | 7.215 | 7.384 | 7.554 | 7.725 | 7.895 |
1.615 | 6.467 | 6.632 | 6.794 | 6.953 | 7.109 | 7.261 | 7.411 | 7.558 | 7.701 | 7.843 | 7.982 |
1.616 | 6.734 | 6.913 | 7.076 | 7.223 | 7.361 | 7.491 | 7.616 | 7.737 | 7.855 | 7.970 | 8.082 |
1.617 | 7.044 | 7.216 | 7.364 | 7.499 | 7.622 | 7.735 | 7.840 | 7.938 | 8.031 | 8.120 | 8.207 |
1.618 | 7.395 | 7.551 | 7.685 | 7.801 | 7.904 | 7.997 | 8.083 | 8.162 | 8.234 | 8.301 | 8.366 |
1.619 | 7.785 | 7.917 | 8.027 | 8.122 | 8.204 | 8.277 | 8.342 | 8.403 | 8.460 | 8.514 | 8.567 |
1.620 | 8.208 | 8.298 | 8.378 | 8.449 | 8.513 | 8.571 | 8.624 | 8.674 | 8.721 | 8.766 | 8.810 |
1.621 | 8.649 | 8.698 | 8.745 | 8.792 | 8.838 | 8.882 | 8.925 | 8.967 | 9.009 | 9.050 | 9.090 |
1.622 | 9.082 | 9.102 | 9.124 | 9.150 | 9.178 | 9.209 | 9.244 | 9.281 | 9.320 | 9.360 | 9.400 |
Indices | 1.570 | 1.572 | 1.574 | 1.575 | 1.576 | 1.578 | 1.580 |
---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
1.610 | .0051 | .0049 | .0047 | .0046 | .0045 | .0042 | .0040 |
1.612 | .0051 | .0049 | .0047 | .0046 | .0044 | .0042 | .0040 |
1.615 | .0051 | .0048 | .0046 | .0045 | .0044 | .0043 | .0041 |
1.617 | .0050 | .0048 | .0046 | .0045 | .0044 | .0043 | .0042 |
1.620 | .0049 | .0048 | .0046 | .0045 | .0045 | .0043 | .0042 |
1.622 | .0048 | .0047 | .0046 | .0045 | .0045 | .0043 | .0042 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .6340 | .6347 | .6354 | .6360 | .6365 | .6371 | .6378 | .6386 | .6394 | .6402 | .6412 |
1.611 | .6346 | .6352 | .6359 | .6365 | .6371 | .6378 | .6385 | .6392 | .6400 | .6408 | .6417 |
1.612 | .6352 | .6358 | .6365 | .6371 | .6378 | .6385 | .6392 | .6399 | .6406 | .6414 | .6422 |
1.613 | .6358 | .6364 | .6370 | .6377 | .6384 | .6391 | .6398 | .6405 | .6412 | .6419 | .6426 |
1.614 | .6363 | .6369 | .6376 | .6383 | .6390 | .6397 | .6404 | .6410 | .6417 | .6424 | .6430 |
1.615 | .6368 | .6374 | .6381 | .6388 | .6395 | .6402 | .6409 | .6415 | .6421 | .6428 | .6434 |
1.616 | .6372 | .6378 | .6385 | .6392 | .6399 | .6406 | .6413 | .6419 | .6425 | .6431 | .6437 |
1.617 | .6376 | .6382 | .6389 | .6395 | .6402 | .6408 | .6415 | .6421 | .6426 | .6432 | .6438 |
1.618 | .6379 | .6385 | .6391 | .6397 | .6404 | .6410 | .6416 | .6422 | .6427 | .6433 | .6438 |
1.619 | .6382 | .6387 | .6393 | .6399 | .6405 | .6410 | .6416 | .6422 | .6427 | .6432 | .6437 |
1.620 | .6384 | .6389 | .6394 | .6399 | .6404 | .6409 | .6414 | .6420 | .6425 | .6430 | .6435 |
1.621 | .6385 | .6389 | .6393 | .6397 | .6401 | .6406 | .6411 | .6416 | .6421 | .6425 | .6430 |
1.622 | .6384 | .6387 | .6390 | .6393 | .6397 | .6400 | .6404 | .6409 | .6414 | .6418 | .6423 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
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|
|
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|
|
|
|
|
|
1.610 | .3254 | .3234 | .3209 | .3186 | .3164 | .3141 | .3119 | .3096 | .3073 | .3050 | .3028 |
1.611 | .3279 | .3260 | .3237 | .3214 | .3192 | .3169 | .3147 | .3124 | .3101 | .3078 | .3055 |
1.612 | .3305 | .3284 | .3263 | .3242 | .3220 | .3197 | .3175 | .3152 | .3129 | .3106 | .3082 |
1.613 | .3329 | .3310 | .3290 | .3269 | .3247 | .3225 | .3203 | .3180 | .3158 | .3134 | .3109 |
1.614 | .3354 | .3337 | .3317 | .3296 | .3274 | .3252 | .3230 | .3208 | .3186 | .3162 | .3136 |
1.615 | .3379 | .3362 | .3343 | .3323 | .3302 | .3280 | .3258 | .3236 | .3214 | .3190 | .3163 |
1.616 | .3404 | .3387 | .3368 | .3349 | .3329 | .3307 | .3284 | .3263 | .3241 | .3217 | .3191 |
1.617 | .3428 | .3411 | .3393 | .3374 | .3354 | .3333 | .3310 | .3289 | .3268 | .3245 | .3219 |
1.618 | .3451 | .3434 | .3417 | .3399 | .3379 | .3358 | .3336 | .3315 | .3294 | .3272 | .3247 |
1.619 | .3473 | .3456 | .3440 | .3422 | .3403 | .3382 | .3361 | .3340 | .3320 | .3298 | .3274 |
1.620 | .3495 | .3478 | .3461 | .3443 | .3425 | .3405 | .3385 | .3365 | .3345 | .3323 | .3300 |
1.621 | .3516 | .3498 | .3481 | .3463 | .3445 | .3427 | .3408 | .3388 | .3369 | .3348 | .3326 |
1.622 | .3535 | .3518 | .3500 | .3483 | .3465 | .3447 | .3429 | .3410 | .3391 | .3372 | .3352 |
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
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|
1.610 | 2.663 | 2.698 | 2.733 | 2.768 | 2.806 | 2.845 | 2.884 | 2.924 | 2.965 | 3.013 | 3.065 |
1.611 | 2.636 | 2.670 | 2.704 | 2.738 | 2.775 | 2.813 | 2.851 | 2.890 | 2.930 | 2.975 | 3.023 |
1.612 | 2.610 | 2.643 | 2.676 | 2.710 | 2.745 | 2.781 | 2.818 | 2.857 | 2.897 | 2.939 | 2.982 |
1.613 | 2.584 | 2.616 | 2.649 | 2.683 | 2.717 | 2.751 | 2.788 | 2.825 | 2.864 | 2.905 | 2.945 |
1.614 | 2.559 | 2.591 | 2.623 | 2.655 | 2.689 | 2.723 | 2.759 | 2.796 | 2.834 | 2.872 | 2.911 |
1.615 | 2.535 | 2.566 | 2.598 | 2.630 | 2.663 | 2.696 | 2.731 | 2.767 | 2.804 | 2.842 | 2.880 |
1.616 | 2.512 | 2.542 | 2.574 | 2.605 | 2.637 | 2.670 | 2.704 | 2.739 | 2.776 | 2.813 | 2.851 |
1.617 | 2.490 | 2.520 | 2.551 | 2.581 | 2.613 | 2.646 | 2.679 | 2.714 | 2.750 | 2.787 | 2.826 |
1.618 | 2.469 | 2.499 | 2.529 | 2.560 | 2.591 | 2.623 | 2.656 | 2.690 | 2.726 | 2.764 | 2.803 |
1.619 | 2.450 | 2.479 | 2.509 | 2.539 | 2.570 | 2.602 | 2.635 | 2.668 | 2.703 | 2.741 | 2.783 |
1.620 | 2.432 | 2.461 | 2.491 | 2.520 | 2.550 | 2.582 | 2.615 | 2.649 | 2.685 | 2.722 | 2.765 |
1.621 | 2.416 | 2.445 | 2.474 | 2.503 | 2.532 | 2.564 | 2.598 | 2.633 | 2.669 | 2.707 | 2.749 |
1.622 | 2.402 | 2.430 | 2.459 | 2.488 | 2.518 | 2.550 | 2.583 | 2.619 | 2.655 | 2.694 | 2.734 |
when barium crown, no. 1, is employed | ||||||
---|---|---|---|---|---|---|
| ||||||
Indices | 1.570 | 1.572 | 1.574 | 1.576 | 1.578 | 1.580 |
|
|
|
|
|
|
|
1.610 | .0028 | .0027 | .0026 | .0025 | .0024 | .0022 |
1.616 | .0028 | .0027 | .0027 | .0026 | .0025 | .0023 |
1.620 | .0028 | .0027 | .0026 | .0026 | .0025 | .0024 |
1.622 | .0027 | .0027 | .0026 | .0026 | .0025 | .0024 |
| ||||||
when barium crown, no. 2, is employed | ||||||
| ||||||
1.610 | .0019 | .0019 | .0018 | .0016 | .0015 | .0014 |
1.616 | .0020 | .0019 | .0019 | .0018 | .0016 | .0015 |
1.620 | .0019 | .0019 | .0018 | .0018 | .0017 | .0016 |
1.622 | .0019 | .0018 | .0018 | .0018 | .0017 | .0016 |
Constants of Glass upon Which Tables are Based
barium crown, number 1 | ||||
---|---|---|---|---|
| ||||
NC | ND | NF | NF−NC | |
|
|
|
|
|
1.56706 | 1.570 | 1.57708 | .01002 | 56.88 |
1.56805 | 1.571 | 1.57811 | .01006 | 56.77 |
1.56904 | 1.572 | 1.57913 | .01009 | 56.66 |
1.57002 | 1.573 | 1.58015 | .01013 | 56.55 |
1.57101 | 1.574 | 1.58118 | .01017 | 56.44 |
1.57199 | 1.575 | 1.58220 | .01021 | 56.33 |
1.57298 | 1.576 | 1.58323 | .01025 | 56.22 |
1.57397 | 1.577 | 1.58425 | .01028 | 56.11 |
1.57496 | 1.578 | 1.58528 | .01032 | 56.00 |
1.57595 | 1.579 | 1.58631 | .01036 | 55.90 |
1.57694 | 1.580 | 1.58734 | .01040 | 55.80 |
| ||||
barium crown, number 2 | ||||
| ||||
1.56720 | 1.570 | 1.57703 | .00983 | 57.99 |
1.56818 | 1.571 | 1.57805 | .00987 | 57.85 |
1.56916 | 1.572 | 1.57907 | .00991 | 57.72 |
1.57015 | 1.573 | 1.58010 | .00995 | 57.59 |
1.57114 | 1.574 | 1.58113 | .00999 | 57.46 |
1.57213 | 1.575 | 1.58216 | .01003 | 57.33 |
1.57311 | 1.576 | 1.58318 | .01007 | 57.20 |
1.57410 | 1.577 | 1.58421 | .01011 | 57.07 |
1.57509 | 1.578 | 1.58523 | .01014 | 57.00 |
1.57608 | 1.579 | 1.58626 | .01018 | 56.88 |
1.57707 | 1.580 | 1.58729 | .01022 | 56.75 |
| ||||
medium flint | ||||
| ||||
1.60541 | 1.610 | 1.62174 | .01633 | 37.35 |
1.60638 | 1.611 | 1.62278 | .01640 | 37.25 |
1.60735 | 1.612 | 1.62382 | .01647 | 37.15 |
1.60832 | 1.613 | 1.62487 | .01655 | 37.05 |
1.60930 | 1.614 | 1.62592 | .01662 | 36.94 |
1.61027 | 1.615 | 1.62697 | .01670 | 36.84 |
1.61124 | 1.616 | 1.62802 | .01678 | 36.74 |
1.61221 | 1.617 | 1.62906 | .01685 | 36.64 |
1.61318 | 1.618 | 1.63010 | .01692 | 36.54 |
1.61415 | 1.619 | 1.63115 | .01700 | 36.43 |
1.61512 | 1.620 | 1.63219 | .01707 | 36.33 |
1.61609 | 1.621 | 1.63324 | .01715 | 36.23 |
1.61706 | 1.622 | 1.63429 | .01723 | 36.13 |
First Radius of an F/5 Doublet2 Corrected for Spherical and Chromatic Aberration
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .4656 | .4681 | .4707 | .4733 | .4761 | .4790 | .4820 | .4851 | .4882 | .4914 | .4946 |
1.611 | .4660 | .4685 | .4710 | .4736 | .4764 | .4792 | .4820 | .4849 | .4878 | .4908 | .4938 |
1.612 | .4664 | .4689 | .4713 | .4739 | .4766 | .4793 | .4820 | .4847 | .4875 | .4903 | .4930 |
1.613 | .4669 | .4693 | .4717 | .4742 | .4768 | .4794 | .4820 | .4846 | .4872 | .4898 | .4923 |
1.614 | .4674 | .4697 | .4721 | .4745 | .4770 | .4795 | .4820 | .4845 | .4869 | .4894 | .4917 |
1.615 | .4679 | .4702 | .4725 | .4749 | .4773 | .4797 | .4821 | .4844 | .4867 | .4890 | .4912 |
1.616 | .4684 | .4707 | .4729 | .4752 | .4776 | .4799 | .4821 | .4844 | .4866 | .4887 | .4908 |
1.617 | .4690 | .4712 | .4734 | .4756 | .4779 | .4801 | .4822 | .4844 | .4865 | .4885 | .4905 |
1.618 | .4696 | .4718 | .4739 | .4760 | .4782 | .4803 | .4823 | .4844 | .4864 | .4884 | .4903 |
1.619 | .4703 | .4724 | .4744 | .4764 | .4785 | .4805 | .4825 | .4844 | .4864 | .4883 | .4902 |
1.620 | .4711 | .4730 | .4749 | .4768 | .4788 | .4807 | .4826 | .4845 | .4864 | .4883 | .4902 |
1.621 | .4719 | .4737 | .4755 | .4773 | .4791 | .4810 | .4828 | .4846 | .4865 | .4883 | .4902 |
1.622 | .4727 | .4744 | .4761 | .4778 | .4795 | .4813 | .4830 | .4848 | .4866 | .4884 | .4902 |
Second Radius of an F/5 Doublet3 Corrected for Spherical and Chromatic Aberration
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .3248 | .3228 | .3207 | .3186 | .3164 | .3142 | .3119 | .3095 | .3070 | .3044 | .3017 |
1.611 | .3279 | .3259 | .3238 | .3217 | .3195 | .3173 | .3150 | .3127 | .3102 | .3077 | .3052 |
1.612 | .3309 | .3289 | .3268 | .3247 | .3226 | .3204 | .3181 | .3158 | .3134 | .3109 | .3083 |
1.613 | .3340 | .3318 | .3297 | .3277 | .3256 | .3234 | .3211 | .3188 | .3165 | .3141 | .3117 |
1.614 | .3370 | .3348 | .3327 | .3307 | .3286 | .3264 | .3242 | .3219 | .3196 | .3173 | .3150 |
1.615 | .3400 | .3378 | .3357 | .3337 | .3316 | .3294 | .3272 | .3249 | .3227 | .3204 | .3182 |
1.616 | .3429 | .3408 | .3387 | .3367 | .3346 | .3324 | .3302 | .3280 | .3258 | .3236 | .3213 |
1.617 | .3458 | .3437 | .3416 | .3396 | .3375 | .3354 | .3332 | .3311 | .3289 | .3267 | .3245 |
1.618 | .3486 | .3465 | .3445 | .3425 | .3405 | .3384 | .3362 | .3341 | .3320 | .3298 | .3276 |
1.619 | .3513 | .3493 | .3473 | .3454 | .3434 | .3413 | .3391 | .3370 | .3350 | .3329 | .3307 |
1.620 | .3540 | .3520 | .3501 | .3483 | .3463 | .3442 | .3421 | .3400 | .3381 | .3360 | .3338 |
1.621 | .3567 | .3548 | .3530 | .3512 | .3493 | .3472 | .3452 | .3431 | .3411 | .3390 | .3368 |
1.622 | .3593 | .3576 | .3559 | .3541 | .3523 | .3503 | .3483 | .3463 | .3442 | .3420 | .3397 |
Third Radius of an F/5 Doublet4 Corrected for Spherical and Chromatic Abberration
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | 5.654 | 5.772 | 5.902 | 6.046 | 6.207 | 6.385 | 6.583 | 6.799 | 7.034 | 7.300 | 7.611 |
1.611 | 5.766 | 5.893 | 6.029 | 6.168 | 6.341 | 6.521 | 6.717 | 6.930 | 7.159 | 7.404 | 7.676 |
1.612 | 5.897 | 6.033 | 6.178 | 6.333 | 6.500 | 6.677 | 6.867 | 7.069 | 7.284 | 7.511 | 7.747 |
1.613 | 6.054 | 6.194 | 6.345 | 6.505 | 6.675 | 6.853 | 7.037 | 7.226 | 7.420 | 7.618 | 7.818 |
1.614 | 6.242 | 6.396 | 6.555 | 6.717 | 6.882 | 7.048 | 7.215 | 7.384 | 7.554 | 7.725 | 7.895 |
1.615 | 6.467 | 6.632 | 6.794 | 6.953 | 7.109 | 7.261 | 7.411 | 7.558 | 7.701 | 7.843 | 7.982 |
1.616 | 6.734 | 6.913 | 7.076 | 7.223 | 7.361 | 7.491 | 7.616 | 7.737 | 7.855 | 7.970 | 8.082 |
1.617 | 7.044 | 7.216 | 7.364 | 7.499 | 7.622 | 7.735 | 7.840 | 7.938 | 8.031 | 8.120 | 8.207 |
1.618 | 7.395 | 7.551 | 7.685 | 7.801 | 7.904 | 7.997 | 8.083 | 8.162 | 8.234 | 8.301 | 8.366 |
1.619 | 7.785 | 7.917 | 8.027 | 8.122 | 8.204 | 8.277 | 8.342 | 8.403 | 8.460 | 8.514 | 8.567 |
1.620 | 8.208 | 8.298 | 8.378 | 8.449 | 8.513 | 8.571 | 8.624 | 8.674 | 8.721 | 8.766 | 8.810 |
1.621 | 8.649 | 8.698 | 8.745 | 8.792 | 8.838 | 8.882 | 8.925 | 8.967 | 9.009 | 9.050 | 9.090 |
1.622 | 9.082 | 9.102 | 9.124 | 9.150 | 9.178 | 9.209 | 9.244 | 9.281 | 9.320 | 9.360 | 9.400 |
Departure from Sine Conditions for F/5 Doublet4 Corrected for Spherical and Chromatic Aberration
Indices | 1.570 | 1.572 | 1.574 | 1.575 | 1.576 | 1.578 | 1.580 |
---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
1.610 | .0051 | .0049 | .0047 | .0046 | .0045 | .0042 | .0040 |
1.612 | .0051 | .0049 | .0047 | .0046 | .0044 | .0042 | .0040 |
1.615 | .0051 | .0048 | .0046 | .0045 | .0044 | .0043 | .0041 |
1.617 | .0050 | .0048 | .0046 | .0045 | .0044 | .0043 | .0042 |
1.620 | .0049 | .0048 | .0046 | .0045 | .0045 | .0043 | .0042 |
1.622 | .0048 | .0047 | .0046 | .0045 | .0045 | .0043 | .0042 |
First Radius of an F/5 Doublet5 Corrected for Spherical Aberration and Sine Condition
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .6340 | .6347 | .6354 | .6360 | .6365 | .6371 | .6378 | .6386 | .6394 | .6402 | .6412 |
1.611 | .6346 | .6352 | .6359 | .6365 | .6371 | .6378 | .6385 | .6392 | .6400 | .6408 | .6417 |
1.612 | .6352 | .6358 | .6365 | .6371 | .6378 | .6385 | .6392 | .6399 | .6406 | .6414 | .6422 |
1.613 | .6358 | .6364 | .6370 | .6377 | .6384 | .6391 | .6398 | .6405 | .6412 | .6419 | .6426 |
1.614 | .6363 | .6369 | .6376 | .6383 | .6390 | .6397 | .6404 | .6410 | .6417 | .6424 | .6430 |
1.615 | .6368 | .6374 | .6381 | .6388 | .6395 | .6402 | .6409 | .6415 | .6421 | .6428 | .6434 |
1.616 | .6372 | .6378 | .6385 | .6392 | .6399 | .6406 | .6413 | .6419 | .6425 | .6431 | .6437 |
1.617 | .6376 | .6382 | .6389 | .6395 | .6402 | .6408 | .6415 | .6421 | .6426 | .6432 | .6438 |
1.618 | .6379 | .6385 | .6391 | .6397 | .6404 | .6410 | .6416 | .6422 | .6427 | .6433 | .6438 |
1.619 | .6382 | .6387 | .6393 | .6399 | .6405 | .6410 | .6416 | .6422 | .6427 | .6432 | .6437 |
1.620 | .6384 | .6389 | .6394 | .6399 | .6404 | .6409 | .6414 | .6420 | .6425 | .6430 | .6435 |
1.621 | .6385 | .6389 | .6393 | .6397 | .6401 | .6406 | .6411 | .6416 | .6421 | .6425 | .6430 |
1.622 | .6384 | .6387 | .6390 | .6393 | .6397 | .6400 | .6404 | .6409 | .6414 | .6418 | .6423 |
Second Radius of an F/5 Doublet6 Corrected for Spherical Aberration and Sine Condition
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | .3254 | .3234 | .3209 | .3186 | .3164 | .3141 | .3119 | .3096 | .3073 | .3050 | .3028 |
1.611 | .3279 | .3260 | .3237 | .3214 | .3192 | .3169 | .3147 | .3124 | .3101 | .3078 | .3055 |
1.612 | .3305 | .3284 | .3263 | .3242 | .3220 | .3197 | .3175 | .3152 | .3129 | .3106 | .3082 |
1.613 | .3329 | .3310 | .3290 | .3269 | .3247 | .3225 | .3203 | .3180 | .3158 | .3134 | .3109 |
1.614 | .3354 | .3337 | .3317 | .3296 | .3274 | .3252 | .3230 | .3208 | .3186 | .3162 | .3136 |
1.615 | .3379 | .3362 | .3343 | .3323 | .3302 | .3280 | .3258 | .3236 | .3214 | .3190 | .3163 |
1.616 | .3404 | .3387 | .3368 | .3349 | .3329 | .3307 | .3284 | .3263 | .3241 | .3217 | .3191 |
1.617 | .3428 | .3411 | .3393 | .3374 | .3354 | .3333 | .3310 | .3289 | .3268 | .3245 | .3219 |
1.618 | .3451 | .3434 | .3417 | .3399 | .3379 | .3358 | .3336 | .3315 | .3294 | .3272 | .3247 |
1.619 | .3473 | .3456 | .3440 | .3422 | .3403 | .3382 | .3361 | .3340 | .3320 | .3298 | .3274 |
1.620 | .3495 | .3478 | .3461 | .3443 | .3425 | .3405 | .3385 | .3365 | .3345 | .3323 | .3300 |
1.621 | .3516 | .3498 | .3481 | .3463 | .3445 | .3427 | .3408 | .3388 | .3369 | .3348 | .3326 |
1.622 | .3535 | .3518 | .3500 | .3483 | .3465 | .3447 | .3429 | .3410 | .3391 | .3372 | .3352 |
Third Radius of an F/5 Doublet7 Corrected for Spherical Aberration and Sine Condition
Indices | 1.570 | 1.571 | 1.572 | 1.573 | 1.574 | 1.575 | 1.576 | 1.577 | 1.578 | 1.579 | 1.580 |
---|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|
|
|
|
|
|
|
|
1.610 | 2.663 | 2.698 | 2.733 | 2.768 | 2.806 | 2.845 | 2.884 | 2.924 | 2.965 | 3.013 | 3.065 |
1.611 | 2.636 | 2.670 | 2.704 | 2.738 | 2.775 | 2.813 | 2.851 | 2.890 | 2.930 | 2.975 | 3.023 |
1.612 | 2.610 | 2.643 | 2.676 | 2.710 | 2.745 | 2.781 | 2.818 | 2.857 | 2.897 | 2.939 | 2.982 |
1.613 | 2.584 | 2.616 | 2.649 | 2.683 | 2.717 | 2.751 | 2.788 | 2.825 | 2.864 | 2.905 | 2.945 |
1.614 | 2.559 | 2.591 | 2.623 | 2.655 | 2.689 | 2.723 | 2.759 | 2.796 | 2.834 | 2.872 | 2.911 |
1.615 | 2.535 | 2.566 | 2.598 | 2.630 | 2.663 | 2.696 | 2.731 | 2.767 | 2.804 | 2.842 | 2.880 |
1.616 | 2.512 | 2.542 | 2.574 | 2.605 | 2.637 | 2.670 | 2.704 | 2.739 | 2.776 | 2.813 | 2.851 |
1.617 | 2.490 | 2.520 | 2.551 | 2.581 | 2.613 | 2.646 | 2.679 | 2.714 | 2.750 | 2.787 | 2.826 |
1.618 | 2.469 | 2.499 | 2.529 | 2.560 | 2.591 | 2.623 | 2.656 | 2.690 | 2.726 | 2.764 | 2.803 |
1.619 | 2.450 | 2.479 | 2.509 | 2.539 | 2.570 | 2.602 | 2.635 | 2.668 | 2.703 | 2.741 | 2.783 |
1.620 | 2.432 | 2.461 | 2.491 | 2.520 | 2.550 | 2.582 | 2.615 | 2.649 | 2.685 | 2.722 | 2.765 |
1.621 | 2.416 | 2.445 | 2.474 | 2.503 | 2.532 | 2.564 | 2.598 | 2.633 | 2.669 | 2.707 | 2.749 |
1.622 | 2.402 | 2.430 | 2.459 | 2.488 | 2.518 | 2.550 | 2.583 | 2.619 | 2.655 | 2.694 | 2.734 |
Axial Chromatic Aberration for F/5 Doublet8 Corrected for Spherical Aberration and Sine Condition
when barium crown, no. 1, is employed | ||||||
---|---|---|---|---|---|---|
| ||||||
Indices | 1.570 | 1.572 | 1.574 | 1.576 | 1.578 | 1.580 |
|
|
|
|
|
|
|
1.610 | .0028 | .0027 | .0026 | .0025 | .0024 | .0022 |
1.616 | .0028 | .0027 | .0027 | .0026 | .0025 | .0023 |
1.620 | .0028 | .0027 | .0026 | .0026 | .0025 | .0024 |
1.622 | .0027 | .0027 | .0026 | .0026 | .0025 | .0024 |
| ||||||
when barium crown, no. 2, is employed | ||||||
| ||||||
1.610 | .0019 | .0019 | .0018 | .0016 | .0015 | .0014 |
1.616 | .0020 | .0019 | .0019 | .0018 | .0016 | .0015 |
1.620 | .0019 | .0019 | .0018 | .0018 | .0017 | .0016 |
1.622 | .0019 | .0018 | .0018 | .0018 | .0017 | .0016 |