| 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 | |
| Volume | 9255 |
| Pages | 92553C |
| 2015 | |
| Language | 英语 |
| ISSN | 0277-786X |
| DOI | 10.1117/12.2065453 |
| Indexed By | SCI ; Ei |
| Subtype | 会议论文 |
| 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. © 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 Name | Proceedings of SPIE: 20th International Symposium on High Power Systems and Applications 2014, HPLS and A 2014 |
| Conference Date | 2015 |
| Citation statistics | |
| Document Type | 会议论文 |
| Identifier | http://ir.ioe.ac.cn/handle/181551/7841 |
| Collection | 自适应光学技术研究室（八室） |
| Corresponding Author | Wang, Shuai |
| Affiliation | 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 |
| 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 2015-2058.pdf（390KB） | 会议论文 | 开放获取 | CC BY-NC-SA | Application Full Text | ||
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