The comparisons between the preconditioned conjugate-gradient method and the Fourier transform method in lateral shearing interferometry

Peiying Liang; Jianping Ding; Yangqing Zhu; Bangyun Xiong; Yuhua Wang; Zhen Zhu

doi:10.1117/12.2504979

18 January 2019 The comparisons between the preconditioned conjugate-gradient method and the Fourier transform method in lateral shearing interferometry

Peiying Liang, Jianping Ding, Yangqing Zhu, Bangyun Xiong, Yuhua Wang, Zhen Zhu

Author Affiliations +

Proceedings Volume 10839, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test, Measurement Technology, and Equipment; 108390Q (2019) https://doi.org/10.1117/12.2504979
Event: Ninth International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT2018), 2018, Chengdu, China

Abstract

The wavefront reconstruction of the preconditioned conjugate-gradient method and the Fourier transform method in the lateral shearing interferometry are discussed for their feasibility and accuracy in this paper. The numerical simulation study on the accuracy of both the wavefront reconstruction method under ideal situation and under the simulated noisy situation is also introduced. Simulation experiments show that the preconditioned conjugate-gradient method has better anti-noise performance, and provides higher precision for discontinuous phase wavefront reconstruction. The two-grating lateral shearing interference experiment is carried out to verify the simulated results based on both the preconditioned conjugate-gradient method and the Fourier transform method.

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Peiying Liang, Jianping Ding, Yangqing Zhu, Bangyun Xiong, Yuhua Wang, and Zhen Zhu "The comparisons between the preconditioned conjugate-gradient method and the Fourier transform method in lateral shearing interferometry", Proc. SPIE 10839, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test, Measurement Technology, and Equipment, 108390Q (18 January 2019); https://doi.org/10.1117/12.2504979

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