| 题名: | A transformation approach for aberration-mode coefficients of Walsh functions and Zernike polynomials |
| 作者: | Wang, Shuai1,2,3; Yang, Ping1,2; Dong, Lizhi1,2; Xu, Bing1,2; Ao, Mingwu4
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| 出版日期: | 2015
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| 会议名称: | Proceedings of SPIE: 20th International Symposium on High Power Systems and Applications 2014, HPLS and A 2014
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| 会议日期: | 2015
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| 学科分类: | Aberrations - Adaptive optics - High power lasers - Least squares approximations - Mathematical transformations - Polynomials - Walsh transforms - Wavefronts
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| DOI: | 10.1117/12.2065453
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| 通讯作者: | Wang, Shuai
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| 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
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| 语种: | 英语
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| 卷号: | 9255
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| ISSN号: | 0277-786X
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| 文章类型: | 会议论文
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| 页码: | 92553C
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| Citation statistics: |
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| 内容类型: | 会议论文
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| URI标识: | http://ir.ioe.ac.cn/handle/181551/7841
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| Appears in Collections: | 自适应光学技术研究室（八室）_会议论文
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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
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| Recommended Citation: | |
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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