Interference pattern with an analytical solution in modified Shack-Hartmann sensor

Xiaoyang Li; Xu Yang; Bincheng Li; Shengqian Wang; Hao Xian

doi:10.1117/12.2603971

13 December 2021 Interference pattern with an analytical solution in modified Shack-Hartmann sensor

Xiaoyang Li, Xu Yang, Bincheng Li, Shengqian Wang, Hao Xian

Author Affiliations +

Proceedings Volume 12070, 10th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirror and Telescopes; 120700F (2021) https://doi.org/10.1117/12.2603971
Event: Tenth International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT 2021), 2021, Chengdu, China

Abstract

Segmented telescope is an effective way to realize high-resolution observations in astronomy. An important work for high-resolution observations using segmented telescopes is phasing the segmented primary mirror. Modified Shack-Hartmann sensor. Is proposed for piston error detection. The interference pattern created by a circular lens placed across two adjacent mirrors in exit pupil plane is used as the signal of the modified Shack-Hartmann sensor. Piston errors need to be extracted from the interference pattern. The offset of lens and gap error of adjacent mirrors causes the distortion of interference pattern, and leads to a reduction in the detection accuracy of existing piston error extraction techniques. In this paper, we propose to replace the circular lens with a square lens and the mathematical model of the corresponding interference pattern is modeled by Fourier optics, including the one-dimensional and two-dimensional analytical solution of the interference pattern. The simulation results show that the proposed analytical solution can effectively characterize the interference pattern in the ideal situation and in the presence of lateral offset of the lens and the gap error of the adjacent mirrors situation. The results presented here give a deeper insight into the interference pattern of modified Shack-Hartmann sensor, and are of great help for developing new piston error detection techniques based on modified Shack-Hartmann sensor.

Citation Download Citation

Xiaoyang Li, Xu Yang, Bincheng Li, Shengqian Wang, and Hao Xian "Interference pattern with an analytical solution in modified Shack-Hartmann sensor", Proc. SPIE 12070, 10th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirror and Telescopes, 120700F (13 December 2021); https://doi.org/10.1117/12.2603971

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KEYWORDS

Mirrors

Fourier transforms

Segmented mirrors

Sensors

Telescopes

Wavefront sensors

Mathematical modeling

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