Acta Photonica Sinica, Volume. 53, Issue 3, 0322001(2024)
Design Method of the Telescope with Freeform Surfaces Based on Optical Ellipticity Criterion
Figures & Tables(26)
Fig. 3. Optimization design process for the fusion of wavefront aberration and ellipticity
Fig. 11. Wavefront RMS distribution and ellipticity distribution after adding secondary coma
Fig. 13. Wavefront RMS distribution and ellipticity distribution after structural transformation
Fig. 15. Wavefront RMS distribution and ellipticity distribution after adding secondary astigmatism
Fig. 17. Wavefront RMS distribution and ellipticity distribution of the final structure
Fig. 18. Line chart of Zernike aberration changes with optimization steps
Fig. 19. The deviation of freeform surface between the proposed method and traditional optimization results
Fig. 20. Wavefront RMS distribution and ellipticity distribution of the traditional optimization result
Table 1. Optical system index requirements
View tableView in ArticleTable 1. Optical system index requirements
Parameter Specification Entrance pupil diameter/mm 200 Field of view （FOV） 4°×4° Wavelength/nm 587 Focal length/mm 600 F-number 3 Total length/mm <550 The maximum value of ellipticity 0.15 RMS value of ellipticity 0.05
Table 2. Initial structural parameters of optical system
View tableView in ArticleTable 2. Initial structural parameters of optical system
Surface Surface type Radius/ mm Thickness/ mm PM Sphere -1 734.215 -452.529 SM Sphere -516.942 490.628 TM Sphere -704.636 -472.157
Table 3. Structural parameters of the optimization result of the proposed method
View tableView in ArticleTable 3. Structural parameters of the optimization result of the proposed method
Surface Surface type Radius/mm Thickness/mm Conic PM Zernike Fringe -1 812.606 -464.424 -1.151 SM Zernike Fringe -524.803 497.624 0.834 TM Zernike Fringe -712.918 -481.533 0.218
Table 4. Zernike Fringe polynomial coefficients of the optimization result of the proposed method
View tableView in ArticleTable 4. Zernike Fringe polynomial coefficients of the optimization result of the proposed method
Surface Z5 Z8 Z11 Z12 Z15 PM -2.629×10-2 1.042×10-2 3.297×10-4 7.423×10-5 -7.852×10-7 SM 0 0 0 1.576×10-3 -1.025×10-3 TM -1.489×10-2 1.168×10-2 1.863×10-4 9.971×10-6 7.330×10-5
Table 5. Zernike Fringe polynomial coefficients of the traditional optimization result
View tableView in ArticleTable 5. Zernike Fringe polynomial coefficients of the traditional optimization result
Surface Z5 Z8 Z11 Z12 Z15 PM -5.403×10-2 1.021×10-2 3.066×10-4 6.676×10-5 -1.817×10-6 SM -0.1696 -1.149×10-2 -1.549×10-3 4.550×10-4 -1.503×10-3 TM -3.668×10-2 8.242×10-3 -3.944×10-5 -8.853×10-5 4.836×10-5
Table 6. Comparison of optimization results using different methods
View tableView in ArticleTable 6. Comparison of optimization results using different methods
System RMS WFE
average value/λ
The maximum value of ellipticity The average value of ellipticity Standard deviation of ellipticity System 1 0.035 2 0.030 3 0.015 6 0.007 3 System 2
（Conventional optimization methods）
0.035 5 0.035 2 0.015 3 0.009 1
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Jing HUANG, Ningyan XU, Yutong ZOU, Wenyou QIAO, Xulei LUN, Meimei KONG, Chenxi LU, Zhishan GAO, Qun YUAN. Design Method of the Telescope with Freeform Surfaces Based on Optical Ellipticity Criterion[J]. Acta Photonica Sinica, 2024, 53(3): 0322001
Paper Information
Category: Optical Design and Fabrication
Received: Aug. 14, 2023
Accepted: Oct. 11, 2023
Published Online: May. 16, 2024
The Author Email: YUAN Qun (yuanqun@njust.edu.cn)
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