Author Affiliations
1Guangxi's Key Laboratory of Manufacturing Systems and Advanced Manufacturing Technology, School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China2School of Electronics Engineering and Automation, Guilin University of Electronics Technology, Guilin, Guangxi 541004, Chinashow less
Fig. 1. Initial structure of the ideal optical system
Fig. 2. Optical structure of four segments. (a) First segment; (b) second segment; (c) third segment; (d) fourth segment
Fig. 3. Chromatic aberration curves of four segments. (a) First segment; (b) second segment; (c) third segment; (d) fourth segment
Fig. 4. Initial structure of the optical system
Fig. 5. Optical system performance after the second optimization. (a) MTF; (b) chromatic aberration curve
Fig. 6. Buchdahl dispersion coefficients of some glass materials
Fig. 7. Dispersion vector diagram of the second optimization result
Fig. 8. Dispersion vector diagram of the third optimization result
Fig. 9. Optical system performance after the third optimization. (a) MTF; (b) chromatic aberration curve
Fig. 10. Final apochromatic optical system. (a) Structure diagram; (b) aberration curve; (c) point diagram; (d) MTF; (e) chromatic aberration diagram
Parameter | Value |
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Focal length f /mm | 60 | Field of view 2ω /(°) | 15.2 | Size of image /mm | 16 | Resolution /(lp·mm-1) | 200 | Size of pixel /(μm×μm) | 3.1×3.1 |
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Table 1. Optical parameters of the optical system
Group | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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Material | H-FK71 | H-BaK1 | H-ZF1 | H-FK1 | H-ZF1 | H-K3 | H-F2 | H-FK71 | H-ZF1 | H-FK71 | ϕj | 0.0106 | -0.0175 | 0.0161 | 0.0318 | -0.0416 | -0.0260 | 0.0463 | 0.0339 | -0.0370 | -0.0231 | Yj | 6.9050 | 6.5310 | 6.2490 | 5.3420 | 4.8840 | 6.0660 | 6.3660 | 6.5280 | 6.4690 | 6.8480 | αj | 0.6335 | -0.9379 | 0.7888 | 1.1403 | -1.2495 | -1.2048 | 2.3593 | 1.8180 | -1.9471 | -1.3610 | η1 | -0.0613 | -0.0913 | -0.1608 | -0.0613 | -0.1608 | -0.0854 | -0.1473 | -0.0613 | -0.1608 | -0.0613 | η2 | -0.0017 | 0.0015 | 0.0535 | -0.0017 | 0.0535 | -0.0092 | 0.0416 | -0.0017 | 0.0535 | -0.0017 |
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Table 2. Tracing parameters of the light and the dispersion coefficient of the glass in the second optimization
Group | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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Material | H-FK71 | H-BaK3 | H-ZF1 | H-FK1 | H-ZF1 | H-K3 | H-F2 | H-FK71 | H-ZF1 | H-FK71 | ϕj | 0.0118 | -0.0151 | 0.0120 | 0.0317 | -0.0416 | -0.0272 | 0.0485 | 0.0347 | -0.0359 | -0.0249 | Yj | 9.3520 | 8.0680 | 7.7060 | 5.2570 | 5.0170 | 5.7430 | 6.0790 | 6.3860 | 6.3290 | 6.9340 | αj | 0.7067 | -0.6740 | 0.4870 | 0.6013 | -0.7186 | -0.6153 | 1.2292 | 0.9702 | -0.9862 | -0.8211 | η1 | -0.0613 | -0.0881 | -0.1608 | -0.0613 | -0.1608 | -0.0854 | -0.1473 | -0.0613 | -0.1608 | -0.0613 | η2 | -0.0017 | -0.0043 | 0.0535 | -0.0017 | 0.0535 | -0.0092 | 0.0416 | -0.0017 | 0.0535 | -0.0017 |
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Table 3. Tracing parameters of the light and the dispersion coefficient of the glass in the third optimization