Diffraction interpreted through fractional Fourier transforms

被引:6
作者
Deng, XG
Li, YP
Qiu, Y
Fan, DY
机构
[1] UNIV SCI & TECHNOL CHINA,DEPT PHYS,HEFEI 230026,PEOPLES R CHINA
[2] ACAD SINICA,SHANGHAI INST OPT & FINE MECH,SHANGHAI 201800,PEOPLES R CHINA
关键词
diffraction; fractional Fourier transform; lossless optical system;
D O I
10.1016/0030-4018(96)00362-8
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We emphasize the diffraction properties of cylindrically symmetrical first order systems. Based on matrix optics, our investigations lead to two conclusions. One is that diffraction of such a lossless system consists of a fractional Fourier transform. The other is that the fractional order of the system is not unique. It depends on the concrete implementation of a diffraction system.
引用
收藏
页码:241 / 245
页数:5
相关论文
共 25 条
[1]   GENERALIZATION OF THE FRACTIONAL FOURIER TRANSFORMATION TO AN ARBITRARY LINEAR LOSSLESS TRANSFORMATION - AN OPERATOR APPROACH [J].
ABE, S ;
SHERIDAN, JT .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (12) :4179-4187
[2]   ALMOST-FOURIER AND ALMOST-FRESNEL TRANSFORMATIONS [J].
ABE, S ;
SHERIDAN, JT .
OPTICS COMMUNICATIONS, 1995, 113 (4-6) :385-388
[3]   OPTICAL OPERATIONS ON WAVE-FUNCTIONS AS THE ABELIAN SUBGROUPS OF THE SPECIAL AFFINE FOURIER TRANSFORMATION [J].
ABE, S ;
SHERIDAN, JT .
OPTICS LETTERS, 1994, 19 (22) :1801-1803
[4]   A SIMPLE REALIZATION OF FRACTIONAL FOURIER-TRANSFORM AND RELATION TO HARMONIC-OSCILLATOR GREEN-FUNCTION [J].
AGARWAL, GS ;
SIMON, R .
OPTICS COMMUNICATIONS, 1994, 110 (1-2) :23-26
[5]   FRACTIONAL FOURIER-TRANSFORMS AND IMAGING [J].
BERNARDO, LM ;
SOARES, ODD .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (10) :2622-2626
[7]   EXPRESSION OF THE KERNEL OF A FRACTIONAL FOURIER-TRANSFORM IN ELEMENTARY-FUNCTIONS [J].
KARASIK, YB .
OPTICS LETTERS, 1994, 19 (11) :769-770
[8]   IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].
LOHMANN, AW .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186
[9]   A FAKE ZOOM LENS FOR FRACTIONAL FOURIER EXPERIMENTS [J].
LOHMANN, AW .
OPTICS COMMUNICATIONS, 1995, 115 (5-6) :437-443
[10]   RELATIONSHIPS BETWEEN THE RADON-WIGNER AND FRACTIONAL FOURIER-TRANSFORMS [J].
LOHMANN, AW ;
SOFFER, BH .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (06) :1798-1811