FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1.

被引：749

作者：

MENDLOVIC, D ^{[1
]}

OZAKTAS, HM ^{[1
]}

机构：

[1] BILKENT UNIV, DEPT ELECT ENGN, 06533 BILKENT, TURKEY

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1993年 / 10卷 / 09期

关键词：

D O I：

10.1364/JOSAA.10.001875

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1. An optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints. Several mathematical properties are derived.

引用

页码：1875 / 1881

页数：7

共 19 条

[1]

Abramovitz M., 1970, HDB MATH FUNCTIONS

[2]

Bracewell R. N., 1986, FOURIER TRANSFORM IT

[3]

ERDELYI A, 1954, TABLES INTEGRAL TRAN, V1, P369

[4]

Goodman J, 1996, INTRO FOURIER OPTICS

[5]

LIZORKIN PI, ENCY MATH, V4

[6]

LOHMANN A, 1992, OPTIK, V89, P93

[7]

LOHMANN A, UNPUB APPL OPT

[8] AN OPTICAL SELF-TRANSFORM WITH ODD CYCLES [J].

LOHMANN, AW ;

MENDLOVIC, D .

OPTICS COMMUNICATIONS, 1992, 93 (1-2) :25-26

[9] SELF-FOURIER OBJECTS AND OTHER SELF-TRANSFORM OBJECTS [J].

LOHMANN, AW ;

MENDLOVIC, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1992, 9 (11) :2009-2012

[10] ON NAMIASS FRACTIONAL FOURIER-TRANSFORMS [J].

MCBRIDE, AC ;

KERR, FH .

IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 39 (02) :159-175

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