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Optical Engineering

Modal wavefront reconstruction over general shaped aperture by numerical orthogonal polynomials
Author(s): Jingfei Ye; Xinhua Li; Zhishan Gao; Shuai Wang; Wenqing Sun; Wei Wang; Qun Yuan
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Paper 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.

Paper Details

Date Published: 5 March 2015
PDF: 8 pages
Opt. Eng. 54(3) 034105 doi: 10.1117/1.OE.54.3.034105
Published in: Optical Engineering Volume 54, Issue 3
Show Author Affiliations
Jingfei Ye, Nanjing Univ. of Science and Technology (China)
Xinhua Li, Nanjing Univ. of Science and Technology (China)
Jinling Institute of Technology (China)
Zhishan Gao, Nanjing Univ. of Science and Technology (China)
Shuai Wang, Nanjing Univ. of Science and Technology (China)
Wenqing Sun, Nanjing Univ. of Science and Technology (China)
Wei Wang, Nanjing Univ. of Science and Technology (China)
Qun Yuan, Nanjing Univ. of Science and Technology (China)


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