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Proceedings Paper

A transformation approach for aberration-mode coefficients of Walsh functions and Zernike polynomials
Author(s): Shuai Wang; Ping Yang; Lizhi Dong; Bing Xu; Mingwu Ao
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Paper Abstract

Walsh functions have been modified and utilized as binary-aberration-mode basis which are especially suitable for representing discrete wavefronts. However, when wavefront sensing techniques based on binary-aberration-mode detection trying to reconstruct common wavefronts with continuous forms, the Modified Walsh functions are incompetent. The limited space resolution of Modified Walsh functions will leave substantial residual wavefronts. In order to sidestep the space-resolution problem of binary-aberration modes, it’s necessary to transform the Modified-Walsh-function expansion coefficients of wavefront to Zernike-polynomial coefficients and use Zernike polynomials to represent the wavefront to be reconstructed. For this reason, a transformation method for wavefront expansion coefficients of the two aberration modes is proposed. The principle of the transformation is the linear of wavefront expansion and the method of least squares. The numerical simulation demonstrates that the coefficient transformation with the transformation matrix is reliable and accurate.

Paper Details

Date Published: 3 February 2015
PDF: 9 pages
Proc. SPIE 9255, XX International Symposium on High-Power Laser Systems and Applications 2014, 92553C (3 February 2015); doi: 10.1117/12.2065453
Show Author Affiliations
Shuai Wang, Key Lab. on Adaptive Optics (China)
Institute of Optics and Electronics (China)
Univ. of Chinese Academy of Sciences (China)
Ping Yang, Key Lab. on Adaptive Optics (China)
Institute of Optics and Electronics (China)
Lizhi Dong, Key Lab. on Adaptive Optics (China)
Institute of Optics and Electronics
Bing Xu, Key Lab. on Adaptive Optics (China)
Institute of Optics and Electronics
Mingwu Ao, Univ. of Electronic Science and Technology of China (China)


Published in SPIE Proceedings Vol. 9255:
XX International Symposium on High-Power Laser Systems and Applications 2014
Chun Tang; Shu Chen; Xiaolin Tang, Editor(s)

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