FOURIER-TRANSFORMS OF FRACTIONAL ORDER AND THEIR OPTICAL INTERPRETATION

被引：248

作者：

OZAKTAS, HM ^{[1
]}

MENDLOVIC, D ^{[1
]}

机构：

[1] TEL AVIV UNIV, FAC ENGN, IL-69978 TEL AVIV, ISRAEL

来源：

OPTICS COMMUNICATIONS | 1993年 / 101卷 / 3-4期

关键词：

Fourier optics - Gradient index optics - Integral equations - Mathematical models - Optical filters - Signal filtering and prediction;

D O I：

10.1016/0030-4018(93)90359-D

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. Fractional Fourier transforms can extend the range of spatial filtering operations.

引用

页码：163 / 169

页数：7

共 12 条

[1]

Bracewell RN., 1986, FOURIER TRANSFORM IT

[2] MULTIFACET HOLOGRAPHIC OPTICAL-ELEMENTS FOR WAVE-FRONT TRANSFORMATIONS [J].