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A transformation approach for aberration-mode coefficients of Walsh functions and Zernike polynomials
Wang, Shuai1,2,3; Yang, Ping1,2; Dong, Lizhi1,2; Xu, Bing1,2; Ao, Mingwu4
Volume9255
Pages92553C
2015
Language英语
ISSN0277-786X
DOI10.1117/12.2065453
Indexed BySCI ; Ei
Subtype会议论文
AbstractWalsh 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. © 2015 SPIE.; 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. © 2015 SPIE.
Conference NameProceedings of SPIE: 20th International Symposium on High Power Systems and Applications 2014, HPLS and A 2014
Conference Date2015
Citation statistics
Document Type会议论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/7841
Collection自适应光学技术研究室(八室)
Corresponding AuthorWang, Shuai
Affiliation1. Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu, China
2. Institute of Optics and Electronics, Chinese Academy of Sciences, Shuangliu, Chengdu, China
3. University of Chinese Academy of Sciences, Beijing, China
4. School of Optoelectronic Information, University of Electronic Science and Technology of China, Chengdu, China
Recommended Citation
GB/T 7714
Wang, Shuai,Yang, Ping,Dong, Lizhi,et al. A transformation approach for aberration-mode coefficients of Walsh functions and Zernike polynomials[C],2015:92553C.
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