Orthonormal aberration polynomials for optical systems with circular and annular sector pupils

被引：14

作者：

Diaz, Jose Antonio ^{[1
]}

Mahajan, Virendra N. ^{[2
]}

机构：

[1] Univ Granada, Dept Opt, E-18071 Granada, Spain

[2] Aerosp Corp, El Segundo, CA 90245 USA

来源：

APPLIED OPTICS | 2013年 / 52卷 / 06期

关键词：

FIELD DIFFRACTION PATTERNS; REFLECTION CORNER CUBES; ZERNIKE POLYNOMIALS; APERTURES;

D O I：

10.1364/AO.52.001136

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using the Zernike circle polynomials as the basis functions, we obtain the orthonormal polynomials for optical systems with circular and annular sector pupils by the Gram-Schmidt orthogonalization process. These polynomials represent balanced aberrations yielding minimum variance of the classical aberrations of rotationally symmetric systems. Use of the polynomials obtained is illustrated with numerical examples. (C) 2013 Optical Society of America

引用

页码：1136 / 1147

页数：12

共 14 条

[1]

[Anonymous], 2011, OPTICAL IMAGING AB 2

[2]

[Anonymous], 2010, MATH VERS 8 0

[3] Nonrecursive determination of orthonormal polynomials with matrix formulation [J].