Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials

Jingfei Ye; Xinhua Li; Zhishan Gao; Shuai Wang; Wenqing Sun; Wei Wang; Qun Yuan

doi:10.1117/1.OE.54.3.034105

5 March 2015 Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials

Jingfei Ye, Xinhua Li, Zhishan Gao, Shuai Wang, Wenqing Sun, Wei Wang, Qun Yuan

Author Affiliations +

Funded by: National Natural Science Foundation of China, Baden-Württemberg Stiftung, and NSFC, Natural Science Foundation of China, Doctoral Foundation of Ministry of Education, Open Foundation of Chinese Academy of Science, Foundation of Chinese Academy of Science, China Scholarship Council

Optical Engineering, Vol. 54, Issue 3, 034105 (March 2015). https://doi.org/10.1117/1.OE.54.3.034105

Abstract

In practical optical measurements, the wavefront data are recorded by pixelated imaging sensors. The closed-form analytical base polynomial will lose its orthogonality in the discrete wavefront database. For a wavefront with an irregularly shaped aperture, the corresponding analytical base polynomials are laboriously derived. The use of numerical orthogonal polynomials for reconstructing a wavefront with a general shaped aperture over the discrete data points is presented. Numerical polynomials are orthogonal over the discrete data points regardless of the boundary shape of the aperture. The performance of numerical orthogonal polynomials is confirmed by theoretical analysis and experiments. The results demonstrate the adaptability, validity, and accuracy of numerical orthogonal polynomials for estimating the wavefront over a general shaped aperture from regular boundary to an irregular boundary.

Citation Download Citation

Jingfei Ye, Xinhua Li, Zhishan Gao, Shuai Wang, Wenqing Sun, Wei Wang, and Qun Yuan "Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials," Optical Engineering 54(3), 034105 (5 March 2015). https://doi.org/10.1117/1.OE.54.3.034105

Published: 5 March 2015

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