Investigation of dwell time based on Lucy-Richardson algorithm and Gercherg surface continuation algorithm

XinJie Qian; Zhen Ma; Yongsheng Yao; Le Shen

doi:10.1117/12.2579836

5 November 2020 Investigation of dwell time based on Lucy-Richardson algorithm and Gercherg surface continuation algorithm

XinJie Qian, Zhen Ma, Yongsheng Yao, Le Shen

Author Affiliations +

Proceedings Volume 11568, AOPC 2020: Optics Ultra Precision Manufacturing and Testing; 1156814 (2020) https://doi.org/10.1117/12.2579836
Event: Applied Optics and Photonics China (AOPC 2020), 2020, Beijing, China

Abstract

Computer-controlled optical surface forming technology (CCOS) can greatly improve the processing accuracy and processing efficiency of optical mirrors. The most critical problem is the solution of dwell time, which will directly affect the final convergence of the surface shape. it is found through analysis that the solution of the dwell time is a deconvolution process, which is the same as the mathematical model of the Lucy–Richardson algorithm in image restoration technology, so the algorithm can be applied to Solution of dwell time; At the same time, in order to eliminate the high-frequency shape errors caused by discontinuities at the edges of the face shapes, the original shapes need to be extended to achieve smooth connections. The two-dimensional Gercherg bandwidth-limited continuation algorithm can achieve this requirement. The simulation results show that the root mean square value (rms) and peak-valley value (pv) converge from the initial 0.2534λ, 1.494λ (λ=632.8nm) to 0.0158λ and 0.393λ, which proves the effectiveness of the algorithm. Compared with the Lucy-Richardson algorithm, other traditional solving methods have simpler calculation process, higher calculation efficiency, and higher convergence rate.

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XinJie Qian, Zhen Ma, Yongsheng Yao, and Le Shen "Investigation of dwell time based on Lucy-Richardson algorithm and Gercherg surface continuation algorithm", Proc. SPIE 11568, AOPC 2020: Optics Ultra Precision Manufacturing and Testing, 1156814 (5 November 2020); https://doi.org/10.1117/12.2579836

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KEYWORDS

Image processing

Surface finishing

Image restoration

Computer simulations

Mathematical modeling

Optical components

Polishing

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