Fast linear canonical transforms

被引：66

作者：

Healy, John J. ^{[1
,2
,3
]}

Sheridan, John T. ^{[1
,2
]}

机构：

[1] Natl Univ Ireland Univ Coll Dublin, Coll Engn Math & Phys Sci, UCD Commun & Optoelect Res Ctr, Dublin 4, Ireland

[2] Natl Univ Ireland Univ Coll Dublin, Coll Engn Math & Phys Sci, Sch Elect Elect & Mech Engn, Dublin 4, Ireland

[3] Natl Univ Ireland Univ Coll Dublin, Complex Adapt Syst Lab, Dublin 4, Ireland

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2010年 / 27卷 / 01期

基金：

爱尔兰科学基金会;

关键词：

WIGNER DISTRIBUTION FUNCTION; FRACTIONAL FOURIER; DIGITAL COMPUTATION; FRESNEL; METROLOGY; ALGORITHM; SIGNALS;

D O I：

10.1364/JOSAA.27.000021

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The linear canonical transform provides a mathematical model of paraxial propagation though quadratic phase systems. We review the literature on numerical approximation of this transform, including discretization, sampling, and fast algorithms, and identify key results. We then propose a frequency-division fast linear canonical transform algorithm comparable to the Sande-Tukey fast Fourier transform. Results calculated with an implementation of this algorithm are presented and compared with the corresponding analytic functions. (C) 2010 Optical Society of America

引用

页码：21 / 30

页数：10

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