Fourier transforms of fractional order and their optical interpretation

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Fourier transforms of fractional order and their optical interpretation.pdf (440.35 KB)

Date

1993

Authors

Editor(s)

Advisor

Supervisor

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Co-Supervisor

Instructor

Source Title

Optics Communications

Print ISSN

0030-4018

Electronic ISSN

Publisher

Elsevier

Volume

101

Issue

3-4

Pages

163 - 169

Language

English

Type

Article

Journal Title

Journal ISSN

Volume Title

Series

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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Book Title

Keywords

Fourier optics , Gradient index optics , Integral equations , Mathematical models , Optical filters , Signal filtering and prediction , Fractional order , Quadratic graded index media , Spatial filtering operations , Fourier transforms

Citation

Permalink

http://hdl.handle.net/11693/26038

item.page.isversionof

http://dx.doi.org/10.1016/0030-4018(93)90359-D

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Department of Electrical and Electronics Engineering