Table 1.
Required First-Order Optical Constants of the System
Parameters | Values |
Focal length | 80 mm |
FOV |
|
WD | 240 mm |
Magnification |
|
Image resolution |
|
Size of image | 8 mm |
CMOS pixel size |
|
Table 2.
Optical Properties of the IOS Glasses
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| H-ZK6 | H-ZF3 | H-ZK6 | H-LaK52 | H-LaK53A | H-F1 | H-ZBaF5 | H-ZK6 | H-ZK6 | H-ZF3 |
| 1.61272 | 1.71736 | 1.61272 | 1.72916 | 1.75500 | 1.60342 | 1.67103 | 1.61272 | 1.61272 | 1.71736 |
| 58.58 | 29.50 | 58.58 | 54.68 | 52.32 | 38.01 | 47.29 | 58.58 | 58.58 | 29.50 |
| 0.5449 | 0.6019 | 0.5449 | 0.5445 | 0.5478 | 0.5828 | 0.5641 | 0.5449 | 0.5449 | 0.6019 |
Table 3.
Optical Parameter Comparison of Three Kinds of Materials
Material |
| H-FK61 | H-FK71 |
| 1.43385 | 1.49700 | 1.45650 |
| 0.004890 | 0.006090 | 0.005057 |
| 94.99 | 81.61 | 90.27 |
Table 4.
Optical Properties of the POS Glasses
|
1
| 2 | 3 |
4
| 5 |
6
| 7 |
8
| 9 | 10 |
|
H-FK61
| H-ZF3 | H-ZK6 |
H-FK71
|
H-F13
|
H-FK61
|
H-ZLAF55C
|
H-FK71
| H-ZK6 | H-ZF3 |
|
1.49700
| 1.71736 | 1.61272 |
1.45650
|
1.62588
|
1.49700
|
1.83481
|
1.45650
| 1.61272 | 1.71736 |
|
81.61
| 29.50 | 58.58 |
90.27
|
35.70
|
81.61
|
42.71
|
90.27
| 58.58 | 29.50 |
|
0.5355
| 0.6019 | 0.5449 |
0.5317
|
0.5888
|
0.5355
|
0.5634
|
0.5317
| 0.5449 | 0.6019 |
Table 5.
Ray Tracing Parameters and Dispersion Coefficients of the POS
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Glass | H-FK61 | H-ZF3 | H-ZK6 | H-FK71 | H-F13 | H-FK61 | H-ZLAF55C | H-FK71 | H-ZK6 | H-ZF3 |
| 0.0062 | 0.0153 | −0.0203 | 0.0300 | −0.0975 | 0.0434 | −0.0281 | 0.0688 | −0.0441 | 0.0774 |
| 25.9079 | 18.8467 | 17.2989 | 9.979 | 8.1719 | 5.4199 | 3.6751 | 4.0673 | 5.7493 | 4.8129 |
| 0.4697 | 0.6134 | −0.6856 | 0.3372 | −0.7349 | 0.1439 | −0.0428 | 0.1285 | −0.1645 | 0.2024 |
| −0.06352 | −0.17042 | −0.08805 | −0.05743 | −0.14170 | −0.06352 | −0.11969 | −0.05743 | −0.08805 | −0.17042 |
| −0.00195 | 0.06779 | 0.00278 | −0.00166 | 0.03996 | −0.00195 | 0.01921 | −0.00166 | 0.00278 | 0.06779 |
Table 6.
Ray Tracing Parameters and Dispersion Coefficients of the SOS
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Glass | H-FK61 | H-ZF3 | H-ZK6 | H-FK71 |
H-F1
| H-FK61 |
H-LAF2
| H-FK71 | H-ZK6 | H-ZF3 |
| 0.0074 | 0.0166 | −0.0337 | 0.0340 |
−0.0909
| 0.0469 |
−0.0252
| 0.0555 | −0.0112 | 0.0401 |
| 24.8818 | 17.3766 | 15.7958 | 10.7578 |
8.8085
| 5.8255 |
3.2512
| 4.3024 | 6.5520 | 5.2684 |
| 0.5920 | 0.6477 | −1.0865 | 0.5085 |
−0.9114
| 0.2057 |
−0.0344
| 0.1328 | −0.0621 | 0.1438 |
| −0.06352 | −0.17042 | −0.08805 | −0.05743 |
−0.13359
| −0.06352 |
−0.10713
| −0.05743 | −0.08805 | −0.17042 |
| −0.00195 | 0.06779 | 0.00278 | −0.00166 |
0.03321
| −0.00195 |
0.01013
| −0.00166 | 0.00278 | 0.06779 |
Table 7.
Operands for Optimization in ZEMAX
Oper | EFFL | DMLT | AXCL | SPHA | DIMX |
Target | 80.00 | 7.7 | 0.00 | 0.00 | 0.10 |
Table 8.
Prescription of the FOS
Surface | Radius | Thickness | Glass | Diameter |
Object surface | | 240 | | 60 |
1 | 54.96 | 11.50 | H-FK61 | 50 |
2 | 287.70 | 23.89 | | 50 |
3 | 31.14 | 8.00 | H-ZF3 | 35 |
4 | 98.68 | 6.51 | H-ZK6 | 35 |
5 | 14.98 | 18.39 | | 35 |
6 | 15.86 | 8.00 | H-FK71 | 25 |
7 | −73.88 | 1.23 | | 25 |
8 | 1390.84 | 6.00 | H-F1 | 20 |
9 | 6.59 | 4.69 | H-FK61 | 15 |
10 | 13.32 | 18.84 | | 15 |
Stop | | 0.50 | | 6.20 |
12 | 26.18 | 5.00 | H-LAF2 | 8 |
13 | 12.55 | 1.60 | | 8 |
14 | 15.51 | 6.00 | H-FK71 | 10 |
15 | −15.36 | 20.92 | | 10 |
16 | 12.67 | 6.86 | H-ZK6 | 15 |
17 | 8.17 | 5.71 | H-ZF3 | 15 |
18 | 10.63 | 4.00 | | 10 |
Image surface | | | | 8 |
Table 9.
Residual Aberrations of the FOS
Aberrations | Value (mm) |
Spherical aberration |
|
Coma |
|
Astigmatism |
|
Tangential field curvature |
|
Sagittal field curvature |
|
Distortion |
|
Axial chromatic aberration |
|
Lateral chromatic aberration |
|
Spherochromatism |
|
|
|
Table 10.
Surface Centered Tolerances
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
Min (μm) | −200 | −167 | −99 | −96 | −5 | −8 | −38 | −73 | −200 | −200 | −8 | −8 | −24 | −104 | −26 | −15 | −14 |
Max (μm) | 200 | 19 | 8 | 8 | 41 | 56 | 5 | 9 | 47 | 69 | 27 | 25 | 7 | 29 | 108 | 134 | 140 |
Table 11.
Surface Decenter and Tilt Tolerances
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
Dec-X (μm) | 29 | 200 | 12 | 69 | 5 | 5 | 23 | 200 | 6 | 20 | — | 35 | 4 | 6 | 23 | 17 | 18 | 14 |
Dec-Y (μm) | 27 | 200 | 15 | 79 | 4 | 4 | 19 | 200 | 6 | 19 | — | 39 | 4 | 6 | 23 | 22 | 21 | 20 |
Til-X (μm) | 27 | 52 | 14 | 27 | 8 | 7 | 8 | 11 | 11 | 16 | — | 20 | 5 | 6 | 23 | 20 | 34 | 19 |
Til-Y (μm) | 26 | 57 | 18 | 31 | 7 | 6 | 6 | 10 | 10 | 16 | — | 22 | 5 | 6 | 22 | 27 | 38 | 28 |
Table 12.
Element Tolerances
| 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Dec-X (μm) | 32 | 6 | 4 | 6 | 5 | 6 | 21 |
Dec-Y (μm) | 30 | 5 | 3 | 5 | 5 | 6 | 22 |
Til-X (μm) | 48 | 9 | 63 | 91 | 16 | 21 | 97 |
Til-Y (μm) | 55 | 11 | 106 | 110 | 17 | 22 | 73 |