Fourier transforms of fractional order and their optical interpretation

Date
1993
Editor(s)
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Supervisor
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Source Title
Optics Communications
Print ISSN
0030-4018
Electronic ISSN
Publisher
Elsevier
Volume
101
Issue
3-4
Pages
163 - 169
Language
English
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Abstract

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.

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