Table I
Diffraction Focus Position and Intensity for Optical Systems with Primary Spherical Aberration Function: W(r) = W40r4 (W40 in Wavelength Units)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 | U | I | U | I | U | I |
---|
|
|
|
---|
0 | 0.000 | 100.000 | 0.000 | 98.010 | 0.000 | 92.160 |
0.2 | 2.513 | 99.126 | 2.538 | 97.187 | 2.614 | 91.475 |
0.4 | 5.027 | 96.543 | 5.077 | 94.753 | 5.227 | 89.448 |
0.6 | 7.540 | 92.367 | 7.615 | 90.814 | 7.841 | 86.154 |
0.8 | 10.053 | 86.781 | 10.154 | 85.535 | 10.455 | 81.719 |
1.0 | 12.566 | 80.030 | 12.692 | 79.139 | 13.069 | 76.307 |
0.3 | 0.4 | 0.5 |
|
|
|
W40 | U | I | U | I | U | I |
|
|
|
0 | 0.000 | 82.810 | 0.000 | 70.560 | 0.000 | 56.249 |
0.2 | 2.739 | 82.313 | 2.915 | 70.252 | 3.141 | 56.094 |
0.4 | 5.479 | 80.837 | 5.831 | 69.336 | 6.283 | 55.628 |
0.6 | 8.218 | 78.429 | 8.746 | 67.832 | 9.425 | 54.860 |
0.8 | 10.958 | 75.161 | 11.662 | 65.774 | 12.566 | 53.799 |
1.0 | 13.697 | 71.131 | 14.577 | 63.207 | 15.708 | 52.461 |
Table II
Diffraction Focus Position and Intensity for Optical Systems With Primary Plus Secondary Spherical Aberration Function: W(r) = W40r4 + W60r6 (W40 = W60 in Wavelength Units)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 = W60 | U | I | U | I | U | I |
---|
|
|
|
---|
0 | 0.000 | 100.000 | 0.000 | 98.010 | 0.000 | 92.160 |
0.2 | 4.769 | 94.592 | 4.825 | 92.855 | 4.995 | 87.715 |
0.4 | 9.496 | 79.874 | 9.609 | 78.787 | 9.956 | 75.482 |
0.6 | 14.096 | 59.829 | 14.276 | 59.509 | 14.821 | 58.422 |
0.8 | 18.254 | 39.624 | 18.546 | 39.857 | 19.394 | 40.467 |
1.0 | 12.759 | 31.763 | 12.951 | 30.901 | 13.565 | 28.296 |
0.3 | 0.4 | 0.5 |
|
|
|
W40 = W60 | U | I | U | I | U | I |
|
|
|
0 | 0.000 | 82.810 | 0.000 | 70.560 | 0.000 | 56.249 |
0.2 | 5.287 | 79.387 | 5.715 | 68.265 | 6.297 | 54.966 |
0.4 | 10.549 | 69.847 | 11.414 | 61.764 | 12.586 | 51.267 |
0.6 | 15.743 | 56.173 | 17.071 | 52.127 | 18.854 | 45.580 |
0.8 | 20.758 | 41.086 | 22.636 | 40.879 | 25.081 | 38.548 |
1.0 | 25.059 | 27.453 | 27.953 | 29.711 | 31.226 | 30.935 |
Table III
Diffraction Focus Position and Intensity for Optical Systems With Primary Plus Secondary and Tertiary Spherical Aberration Function: W(r) = W40r4 + W60r6 + W80r8 (W40 = W60 = W80 in Wavelength Units)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 = W60 = W80 | U | I | U | I | U | I |
---|
|
|
|
---|
0 | 0.000 | 100.000 | 0.000 | 98.010 | 0.000 | 92.160 |
0.2 | 6.728 | 85.039 | 6.816 | 83.637 | 7.087 | 79.467 |
0.4 | 12.873 | 51.986 | 13.080 | 51.642 | 13.704 | 50.578 |
0.6 | 10.399 | 35.904 | 10.592 | 34.966 | 11.225 | 32.182 |
0.8 | 16.020 | 32.381 | 16.287 | 31.991 | 17.084 | 30.731 |
1.0 | 13.421 | 24.885 | 13.752 | 24.138 | 15.238 | 21.952 |
0.3 | 0.4 | 0.5 |
|
|
|
W40 = W60 = W80 | U | I | U | I | U | I |
|
|
|
0 | 0.000 | 82.810 | 0.000 | 70.560 | 0.000 | 56.249 |
0.2 | 7.559 | 72.634 | 8.267 | 63.330 | 9.265 | 51.886 |
0.4 | 14.762 | 48.643 | 16.298 | 45.492 | 18.397 | 40.549 |
0.6 | 12.760 | 27.715 | 22.953 | 26.327 | 27.015 | 26.645 |
0.8 | 18.415 | 28.292 | 20.337 | 24.205 | 23.189 | 18.211 |
1.0 | 24.478 | 21.391 | 27.760 | 28.811 | 31.457 | 18.325 |
Table IV
Diffraction Focus Position and Positions With Intensity at 80% of the Diffraction Focus Intensity for Optical Systems With Aberration Function as in Table I (for Each Value of ∊ the Depth of Focus is the Difference Between the Third and First Columns)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 | U | U | U |
---|
|
|
|
---|
0 | −3.236 | 0.000 | 3.236 | −3.268 | 0.000 | 3.268 | −3.371 | 0.000 | 3.371 |
0.2 | −0.728 | 2.513 | 5.754 | −0.735 | 2.538 | 5.811 | −0.761 | 2.614 | 5.989 |
0.4 | 1.771 | 5.027 | 8.282 | 1.789 | 5.077 | 8.365 | 1.840 | 5.227 | 8.615 |
0.6 | 4.258 | 7.540 | 10.820 | 4.302 | 7.615 | 10.927 | 4.430 | 7.841 | 11.252 |
0.8 | 6.732 | 10.053 | 13.373 | 6.803 | 10.154 | 13.503 | 7.011 | 10.455 | 13.898 |
1.0 | 9.189 | 12.566 | 15.942 | 9.287 | 12.692 | 16.095 | 9.576 | 13.069 | 16.560 |
0.3 | 0.4 | 0.5 |
|
|
|
W40 | U | U | U |
|
|
|
0 | −3.556 | 0.000 | 3.556 | −3.852 | 0.000 | 3.852 | −4.315 | 0.000 | 4.315 |
0.2 | −0.820 | 2.739 | 6.299 | −0.940 | 2.915 | 6.771 | −1.174 | 3.141 | 7.457 |
0.4 | 1.908 | 5.479 | 9.049 | 1.967 | 5.831 | 9.694 | 1.960 | 6.283 | 10.606 |
0.6 | 4.628 | 8.218 | 11.808 | 4.868 | 8.746 | 12.624 | 5.092 | 9.425 | 13.757 |
0.8 | 7.340 | 10.958 | 14.574 | 7.762 | 11.662 | 15.561 | 8.219 | 12.566 | 16.913 |
0.1 | 10.040 | 13.697 | 17.354 | 10.649 | 14.577 | 18.504 | 11.341 | 15.708 | 20.074 |
Table V
Diffraction Focus Position and Positions With Intensity at 80% of the Diffraction Focus Intensity for Optical Systems With Aberration Function as in Table II (for Each Value of ∊ the Depth of Focus is the Difference Between the Third and First Columns)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 = W60 | U | U | U |
---|
|
|
|
---|
0 | −3.236 | 0.000 | 3.236 | −3.268 | 0.000 | 3.268 | −3.371 | 0.000 | 3.371 |
0.2 | 1.495 | 4.769 | 8.030 | 1.519 | 4.825 | 8.118 | 1.590 | 4.995 | 8.389 |
0.4 | 6.097 | 9.496 | 12.854 | 6.182 | 9.609 | 12.998 | 6.439 | 9.956 | 13.438 |
0.6 | 10.362 | 14.096 | 17.687 | 10.530 | 14.276 | 17.889 | 11.025 | 14.821 | 18.506 |
0.8 | 12.895 | 18.254 | 22.468 | 13.415 | 18.546 | 22.743 | 14.648 | 19.394 | 23.570 |
1.0 | 8.316 | 12.759 | 20.573 | 8.434 | 12.951 | 22.265 | 8.775 | 13.565 | 26.844 |
0.3 | 0.4 | 0.4 |
|
|
|
W40 = W60 | U | U | U |
|
|
|
0 | −3.556 | 0.000 | 3.556 | −3.852 | 0.000 | 3.852 | −4.315 | 0.000 | 4.315 |
0.2 | 1.701 | 5.287 | 8.864 | 1.837 | 5.715 | 9.586 | 1.962 | 6.297 | 10.626 |
0.4 | 6.865 | 10.549 | 14.204 | 7.457 | 11.414 | 15.349 | 8.192 | 12.586 | 16.965 |
0.6 | 11.836 | 15.743 | 19.569 | 12.949 | 17.071 | 21.140 | 14.346 | 18.854 | 23.328 |
0.8 | 16.259 | 20.758 | 24.955 | 18.158 | 22.636 | 26.965 | 20.370 | 25.081 | 29.721 |
1.0 | 11.067 | 25.059 | 30.310 | 22.414 | 27.953 | 32.838 | 26.116 | 31.226 | 36.160 |
Table VI
Diffraction Focus Position and Positions With Intensity at 80 % of the Diffraction Focus Intensity for Optical Systems with Aberration Function as in Table III (for Each Value of ∊ the Depth of Focus is the Difference Between the Third and First Columns)
∊ |
---|
|
---|
0 | 0.1 | 0.2 |
---|
|
|
|
---|
W40 = W80 | U | U | U |
---|
|
|
|
---|
0 | −3.236 | 0.000 | 3.236 | −3.268 | 0.000 | 3.268 | −3.371 | 0.000 | 3.371 |
0.2 | 3.364 | 6.728 | 10.042 | 3.422 | 6.816 | 10.162 | 3.597 | 7.087 | 10.532 |
0.4 | 8.632 | 12.873 | 16.626 | 8.852 | 13.080 | 16.852 | 9.498 | 13.704 | 17.538 |
0.6 | 5.779 | 10.399 | 16.664 | 5.888 | 10.592 | 17.239 | 6.218 | 11.225 | 19.508 |
0.8 | 10.980 | 16.020 | 20.434 | 11.290 | 16.287 | 20.740 | 12.154 | 17.084 | 21.686 |
1.0 | 8.004 | 13.421 | 23.181 | 8.175 | 13.752 | 24.278 | 8.697 | 15.238 | 27.230 |
0.3 | 0.4 | 0.5 |
|
|
|
W40 = W60 | U | U | U |
|
|
|
0 | −3.556 | 0.000 | 3.556 | −3.852 | 0.000 | 3.852 | −4.315 | 0.000 | 4.315 |
0.2 | 3.896 | 7.559 | 11.183 | 4.321 | 8.267 | 12.180 | 4.876 | 9.265 | 13.629 |
0.4 | 10.531 | 14.762 | 18.723 | 11.934 | 16.298 | 20.485 | 13.720 | 18.397 | 22.969 |
0.6 | 6.777 | 12.760 | 24.290 | 11.570 | 22.953 | 28.286 | 21.165 | 27.015 | 32.190 |
0.8 | 13.452 | 18.415 | 23.391 | 15.074 | 20.337 | 26.347 | 16.916 | 23.189 | 36.805 |
1.0 | 12.353 | 24.478 | 29.890 | 21.443 | 27.760 | 33.070 | 25.513 | 31.457 | 37.586 |
Table VII
Ratio of the Diffraction Focus Intensity to the Focal Plane Intensity for Optical Systems With Aberration Function as in Table I
W40 |
---|
|
---|
∊ | 0.2 | 0.4 | 0.6 | 0.8 | 1.0 |
---|
0 | 1.142 | 1.731 | 3.600 | 8.630 | 8.984 |
0.1 | 1.142 | 1.731 | 3.612 | 8.821 | 9.389 |
0.2 | 1.142 | 1.730 | 3.631 | 9.355 | 10.732 |
0.3 | 1.140 | 1.719 | 3.613 | 10.044 | 13.492 |
0.4 | 1.135 | 1.688 | 3.486 | 10.332 | 18.722 |
0.5 | 1.124 | 1.622 | 3.180 | 9.309 | 27.014 |
Table VIII
Ratio of the Diffraction Focus Intensity to the Focal Plane Intensity for Optical Systems With Aberration Function as in Table II
W40 = W60 |
---|
|
---|
∊ | 0.2 | 0.4 | 0.6 | 0.8 | 1.0 |
---|
0 | 1.622 | 5.178 | 3.497 | 3.277 | 3.832 |
0.1 | 1.626 | 5.299 | 3.624 | 3.431 | 3.946 |
0.2 | 1.634 | 5.672 | 4.035 | 3.925 | 4.310 |
0.3 | 1.643 | 6.300 | 4.838 | 4.841 | 5.700 |
0.4 | 1.643 | 7.109 | 6.292 | 6.242 | 9.822 |
0.5 | 1.620 | 7.699 | 9.091 | 8.002 | 18.794 |
Table IX
Ratio of the Diffraction Focus intensity to the Focal Plane Intensity for Optical Systems With Aberration Function as in Table III
W40 = W60 = W80 |
---|
|
---|
∊ | 0.2 | 0.4 | 0.6 | 0.8 | 1.0 |
---|
0 | 2.478 | 2.447 | 3.025 | 2.618 | 2.976 |
0.1 | 2.500 | 2.523 | 3.084 | 2.707 | 3.053 |
0.2 | 2.566 | 2.774 | 3.263 | 2.984 | 3.307 |
0.3 | 2.668 | 3.266 | 3.566 | 3.481 | 4.391 |
0.4 | 2.786 | 4.155 | 4.757 | 4.221 | 6.812 |
0.5 | 2.869 | 5.804 | 7.314 | 5.181 | 11.312 |