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Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry
Dai, Fengzhao; Zheng, Yazhong; Bu, Yang; Wang, Xiangzhao; wxz26267@siom.ac.cn
2017
Source PublicationAppl. Optics
Volume56Issue:1Pages:61
AbstractThe Zernike-polynomials-based modal reconstruction method is an important wavefront reconstruction method for lateral shearing interferometry. There are four typical Zernike-polynomial-based modal reconstruction methods: the Rimmer-Wyant method, the elliptical orthogonal transformation method, the numerical orthogonal transformation method (NOT), and the difference Zernike polynomial fitting method (DZF). In a previous paper [Appl. Opt. 51, 5028 (2012)], the overall performances of these four methods were comprehensively compared with each other. The conclusions showed that NOT and DZF have the highest reconstruction accuracies among these four methods. In addition, it was shown that the performance of NOT is identical to that of DZF; however, the reason behind this was not known until now, to our knowledge. In the present paper, we present a strictly mathematical proof for this highly significant result. (C) 2016 Optical Society of America
SubtypeArticle
Department信息光电
DOI10.1364/AO.56.000061
Funding OrganizationNational Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900]
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900] ; National Natural Science Foundation of China (NSFC) [61405210, 61275207, 61474129]; Natural Science Foundation of Shanghai [14ZR1444900]
WOS IDWOS:000392091200027
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.siom.ac.cn/handle/181231/28507
Collection信息光学与光电技术实验室
Corresponding Authorwxz26267@siom.ac.cn
Affiliation中国科学院上海光学精密机械研究所
Recommended Citation
GB/T 7714
Dai, Fengzhao,Zheng, Yazhong,Bu, Yang,et al. Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry[J]. Appl. Optics,2017,56(1):61.
APA Dai, Fengzhao,Zheng, Yazhong,Bu, Yang,Wang, Xiangzhao,&wxz26267@siom.ac.cn.(2017).Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry.Appl. Optics,56(1),61.
MLA Dai, Fengzhao,et al."Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry".Appl. Optics 56.1(2017):61.
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