Orthonormal polynomials for hexagonal pupils

被引：35

作者：

Mahajan, Virendra N.

Dai, Guang-ming

机构：

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

[2] AMO Laser Vis Correct Grp, Santa Clara, CA 95051 USA

来源：

OPTICS LETTERS | 2006年 / 31卷 / 16期

关键词：

D O I：

10.1364/OL.31.002462

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The problem of determining the orthonormal polynomials for hexagonal pupils by the Gram-Schmidt orthogonalization of Zernike circle polynomials is revisited, and closed-form expressions for the hexagonal polynomials are given. We show how the orthonormal coefficients are related to the corresponding Zernike coefficients for a hexagonal pupil and emphasize that it is the former that should be used for any quantitative wavefront analysis for such a pupil. (c) 2006 Optical Society of America.

引用

页码：2462 / 2464

页数：3

共 7 条

[1]

Born M., 1999, PRINCIPLES OPTICS

[2] ORTHOGONAL POLYNOMIALS ON THE HEXAGON [J].