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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
	2015
会议名称	Proceedings of SPIE: 20th International Symposium on High Power Systems and Applications 2014, HPLS and A 2014
会议日期	2015
卷号	9255
页码	92553C
通讯作者	Wang, Shuai
中文摘要	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.
英文摘要	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.
收录类别	SCI ; EI
学科主题	Aberrations - Adaptive optics - High power lasers - Least squares approximations - Mathematical transformations - Polynomials - Walsh transforms - Wavefronts
语种	英语
ISSN号	0277-786X
内容类型	会议论文
源URL	[http://ir.ioe.ac.cn/handle/181551/7841]
专题	光电技术研究所_自适应光学技术研究室（八室）
作者单位	1.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
推荐引用方式 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]. 见:Proceedings of SPIE: 20th International Symposium on High Power Systems and Applications 2014, HPLS and A 2014. 2015.

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