Mathematical construction and perturbation analysis of Zernike discrete orthogonal points

	Mathematical construction and perturbation analysis of Zernike discrete orthogonal points
其他题名	论文其他题名
	Shi Z. G.; Sui Y. X.; Liu Z. Y.; Peng J.; Yang H. J.
	2012
发表期刊	Applied Optics
ISSN	1559-128X
卷号	51 期号:18 页码:4210-4214
摘要	Zernike functions are orthogonal within the unit circle, but they are not over the discrete points such as CCD arrays or finite element grids. This will result in reconstruction errors for loss of orthogonality. By using roots of Legendre polynomials, a set of points within the unit circle can be constructed so that Zernike functions over the set are discretely orthogonal. Besides that, the location tolerances of the points are studied by perturbation analysis, and the requirements of the positioning precision are not very strict. Computer simulations show that this approach provides a very accurate wavefront reconstruction with the proposed sampling set. (C) 2012 Optical Society of America
收录类别	SCI
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/25546
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Shi Z. G.,Sui Y. X.,Liu Z. Y.,et al. Mathematical construction and perturbation analysis of Zernike discrete orthogonal points[J]. Applied Optics,2012,51(18):4210-4214.
APA	Shi Z. G.,Sui Y. X.,Liu Z. Y.,Peng J.,&Yang H. J..(2012).Mathematical construction and perturbation analysis of Zernike discrete orthogonal points.Applied Optics,51(18),4210-4214.
MLA	Shi Z. G.,et al."Mathematical construction and perturbation analysis of Zernike discrete orthogonal points".Applied Optics 51.18(2012):4210-4214.

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