Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape

被引：48

作者：

Upton, R ^{[1
]}

Ellerbroek, B ^{[1
]}

机构：

[1] Assoc Univ Res Astron Inc, New Initiat Off, Tucson, AZ 85721 USA

来源：

OPTICS LETTERS | 2004年 / 29卷 / 24期

关键词：

Aberrations - Algebra - Functions - Interferometry - Linearization - Matrix algebra - Mirrors - Vectors;

D O I：

10.1364/OL.29.002840

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

An orthonormal hexagonal Zernike basis set is generated from circular Zernike polynomials apodized by a hexagonal mask by use of the Gram-Schmidt orthogonalization technique. Results for the first 15 hexagonal Zernike polynomials are shown. The Gram-Schmidt orthogonalization technique presented can be extended to both apertures of arbitrary shape and other basis functions. (C) 2004 Optical Society of America.

引用

页码：2840 / 2842

页数：3

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