Fourier transforms of fractional order and their optical interpretation

David Mendlovic*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationOptics as a Key to High Technology
EditorsGy. Akos, T. Lippenyi, G. Lupkovics, A. Podmaniczky
PublisherPubl by Society of Photo-Optical Instrumentation Engineers
Pages387-388
Number of pages2
Editionpt 1
ISBN (Print)0819412309
StatePublished - 1993
EventProceedings of the 16th Congress of the International Commission for Optics - Budapest, Hung
Duration: 9 Aug 199313 Aug 1993

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Numberpt 1
Volume1983
ISSN (Print)0277-786X

Conference

ConferenceProceedings of the 16th Congress of the International Commission for Optics
CityBudapest, Hung
Period9/08/9313/08/93

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