Fourier-Mellin expansion coefficients of scaled pupils  

作　　者：Barmak Honarvar Shakibaei Raveendran Paramesran 

机构地区：[1]Department of Electrical Engineering,University of Malaya

出　　处：《Chinese Optics Letters》2013年第8期1-4,共4页中国光学快报（英文版）

基　　金：supported by the Engineering Faculty of the University of Malaya under Grant No.UM.C/HIR/MOHE/ENG/42

摘　　要：Orthogonal polynomials over the interior of a unit circle are widely used in aberration theory and in describing ocular wavefront in ophthalmic applications. In optics, Zernike polynomials （ZPs） are commonly applied for the same purpose, and scaling their expansion coefficients to arbitrary aperture sizes is a useful technique to analyze systems with different pupil sizes. By employing the orthogonal Fourier-Mellin polynomials and their properties, a new formula is established based on the same techniques used to develop the scaled pupil sizes. The description by the orthogonal Fourier-Mellin polynomials for the aberration functions is better than that by the ZPs in terms of the wavefront reconstruction errors.Orthogonal polynomials over the interior of a unit circle are widely used in aberration theory and in describing ocular wavefront in ophthalmic applications. In optics, Zernike polynomials （ZPs） are commonly applied for the same purpose, and scaling their expansion coefficients to arbitrary aperture sizes is a useful technique to analyze systems with different pupil sizes. By employing the orthogonal Fourier-Mellin polynomials and their properties, a new formula is established based on the same techniques used to develop the scaled pupil sizes. The description by the orthogonal Fourier-Mellin polynomials for the aberration functions is better than that by the ZPs in terms of the wavefront reconstruction errors.

关 键 词：Fourier-Mellin expansion coefficients of scaled pupils 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] O174.14[自动化与计算机技术—计算机科学与技术]