Table I
Positions of the First Three Zeros and Secondary Maxima of the Intensity on the Optical Axis for an Annular Circular Aperture with Different Values of Obscuration Ratio
Obscuration ratio | U
|
---|
ZEROS
| MAXIMA
|
---|
1st | 2nd | 3rd | 1st | 2nd | 3rd |
---|
0 | 12.5664 | 25.1327 | 37.6991 | 17.9736 | 30.9010 | 43.6165 |
0.1 | 12.6933 | 25.3866 | 38.0799 | 18.1551 | 31.2131 | 44.0570 |
0.2 | 13.0899 | 26.1799 | 39.2699 | 18.7225 | 32.1885 | 45.4338 |
0.3 | 13.8091 | 27.6184 | 41.4276 | 19.7512 | 33.9571 | 47.9302 |
0.4 | 14.9599 | 29.9199 | 44.8799 | 21.3972 | 36.7869 | 51.9244 |
0.5 | 16.7551 | 33.5103 | 50.2655 | 23.9648 | 41.2013 | 58.1553 |
0.6 | 19.6349 | 39.2699 | 58.9048 | 28.0838 | 48.2828 | 68.1507 |
0.7 | 24.6399 | 49.2799 | 73.9198 | 35.2424 | 60.5902 | 85.5225 |
0.8 | 34.9066 | 69.8132 | 104.7197 | 49.9268 | 85.8361 | 121.1569 |
Table II
Intensities on the Optical Axis in the Focal Plane and in the First Five Secondary Maxima for an Annular Circular Aperture with Different Values of Obscuration Ratio
Obscuration ratio | I
|
---|
Focal plane (U=0) | Secondary maxima
|
---|
1st | 2nd | 3rd | 4th | 5th |
---|
0 | 1000 | 47.190 | 16.480 | 8.340 | 5.029 | 3.361 |
0.1 | 980 | 46.251 | 16.152 | 8.174 | 4.929 | 3.294 |
0.2 | 922 | 43.491 | 15.188 | 7.686 | 4.634 | 3.097 |
0.3 | 828 | 39.078 | 13.647 | 6.907 | 4.164 | 2.783 |
0.4 | 706 | 33.298 | 11.628 | 5.885 | 3.548 | 2.371 |
0.5 | 563 | 26.545 | 9.270 | 4.691 | 2.829 | 1.890 |
0.6 | 410 | 19.329 | 6.750 | 3.416 | 2.060 | 1.376 |
0.7 | 260 | 12.274 | 4.286 | 2.169 | 1.308 | .874 |
0.8 | 130 | 6.116 | 2.136 | 1.081 | .652 | .436 |
Table III
Positions of the First Three Secondary Minima and Maxima of the Intensity on the Optical Axis for a Multiple Annular Circular Aperture; Transmission Sequence: 0,1,0,1,…; Zone Width: 1/n
No of annular zones |
|
---|
secondary minima
| secondary maxima
|
---|
1st | 2nd | 3rd | 1st | 2nd | 3rd |
---|
2 | 16.7551 | 33.5103 | 50.2655 | 23.9648 | 41.2013 | 58.1553 |
4 | 10.4564 | 27.3593 | 40.2124 | 17.6675 | 32.2036 | 47.5866 |
8 | 11.1934 | 22.6572 | 45.4001 | 17.2031 | 31.8174 | 52.1676 |
10 | 11.4338 | 22.9439 | 35.9611 | 16.9084 | 31.6716 | 43.2391 |
20 | 11.9686 | 23.9416 | 35.9243 | 17.2125 | 29.6559 | 42.1349 |
40 | 12.2599 | 24.5201 | 36.7809 | 17.5574 | 30.1883 | 42.6176 |
80 | 12.4112 | 24.8225 | 37.2336 | 17.7573 | 30.5292 | 43.0920 |
100 | 12.4419 | 24.8839 | 37.325 | 17.7992 | 30.6012 | 43.1935 |
200 | 12.5038 | 25.0077 | 37.5115 | 17.8851 | 30.7463 | 43.4016 |
Table IV
Positions of the First Three Secondary Minima and Maxima of the Intensity on the Optical Axis for a Multiple Annular Circular Aperture; Transmission Sequence: 1,0,1,0,…; Zone Width: 1/n
No of annular zones | U
|
---|
secondary minima
| secondary maxima
|
---|
1st | 2nd | 3rd | 1st | 2nd | 3rd |
---|
0 | 12.5664 | 25.1327 | 37.6991 | 17.9736 | 30.9010 | 43.6165 |
4 | 20.5807 | 40.8828 | 67.0206 | 25.8232 | 52.2678 | 76.7837 |
8 | 14.4125 | 29.8301 | 54.2754 | 23.1598 | 40.1123 | 59.1287 |
10 | 13.9809 | 28.1235 | 61.0685 | 20.9664 | 39.7142 | 68.4953 |
20 | 13.2287 | 26.4632 | 39.7111 | 19.0373 | 32.8207 | 46.7520 |
40 | 12.8886 | 25.7776 | 38.6672 | 18.4591 | 31.7389 | 44.8075 |
80 | 12.7254 | 25.4509 | 38.1764 | 18.2069 | 31.3023 | 44.1833 |
100 | 12.6933 | 25.3866 | 38.0799 | 18.1589 | 31.2195 | 44.0662 |
200 | 12.6295 | 25.2590 | 37.8885 | 18.0648 | 31.0578 | 43.8379 |
Table V
Intensities on the Optical Axis in the Focal Plane and in the First Three Secondary Minima and Maxima for a Multiple Annular Circular Aperture; Transmission Sequence: 0,1,0,1,…; Zone Width: 1/n
No of annular zones | I
|
---|
Focal plane (U=0) | secondary minima
| secondary maxima
|
---|
1st | 2nd | 3rd | 1st | 2nd | 3rd |
---|
2 | 563 | 0.0000 | 0.0000 | 0.0000 | 26.5446 | 9.2700 | 4.6914 |
4 | 391 | 29.2492 | 16.2146 | 0.0000 | 123.7639 | 26.6863 | 16.4851 |
8 | 316 | 0.9667 | 15.8798 | 7.8092 | 33.1834 | 72.2334 | 13.7467 |
10 | 303 | 0.3363 | 3.9602 | 33.2058 | 22.7324 | 37.1776 | 47.4078 |
20 | 276 | 0.0167 | 0.0863 | 0.3201 | 14.4033 | 6.3875 | 5.3191 |
40 | 263 | 0.0010 | 0.0042 | 0.0105 | 12.7085 | 4.6705 | 2.5668 |
80 | 256 | 6.E–5 | 2.5E–4 | 0.0006 | 12.1703 | 4.3030 | 2.2192 |
100 | 255 | 2.5E–5 | 1.E–4 | 0.0002 | 12.0831 | 4.2531 | 2.1784 |
200 | 252 | 1.5E–6 | 6.2E–6 | 1.4E–5 | 11.9278 | 4.1737 | 2.1185 |
Table VI
Intensities on the Optical Axis in the Focal Plane and in the First Three Secondary Minima and Maxima for a Multiple Annular Circular Aperture; Transmission Sequence: 1,0,1,0,…; Zone Width: 1/n
No of annular zones | I
|
---|
Focal plane (U=0) | Secondary minima
| Secondary maxima
|
---|
1st | 2nd | 3rd | 1st | 2nd | 3rd |
---|
0 | 1000 | 0.0000 | 0.0000 | 0.0000 | 47.190 | 16.480 | 8.340 |
4 | 141 | 23.5142 | 3.3173 | 0.0000 | 25.4099 | 13.3640 | 2.9354 |
8 | 191 | 1.0981 | 18.8554 | 8.8549 | 27.1203 | 40.9865 | 9.9831 |
10 | 203 | 0.3605 | 5.0844 | 9.6086 | 17.3958 | 36.6979 | 13.4567 |
20 | 226 | 0.0168 | 0.0896 | 0.3549 | 11.9263 | 5.4629 | 4.9691 |
40 | 238 | 0.0010 | 0.0042 | 0.0105 | 11.5138 | 4.2433 | 2.3433 |
80 | 244 | 6.E–5 | 2.5E–4 | 0.0006 | 11.5785 | 4.0951 | 2.1130 |
100 | 245 | 2.5E–5 | 1.E–4 | 0.0002 | 11.6102 | 4.0873 | 2.0940 |
200 | 247 | 1.5E–6 | 6.2E–6 | 1.4E–5 | 11.6918 | 4.0912 | 2.0767 |