泽尼克多项式
波前
光学
干涉测量
剪切(物理)
剪切干涉仪
情态动词
模态分析
数学
物理
自适应光学
算法
材料科学
天文干涉仪
声学
热力学
高分子化学
振动
作者
Fengzhao Dai,Yazhong Zheng,Yang Bu,Xiangzhao Wang
出处
期刊:Applied optics
[The Optical Society]
日期:2016-12-20
卷期号:56 (1): 61-61
被引量:5
摘要
The 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)APOPAI0003-693510.1364/AO.51.005028], 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.
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