Fourier transforms of fractional order and their optical interpretation

Haldun M. Ozaktas; David Mendlovic

doi:10.1016/0030-4018(93)90359-D

Fourier transforms of fractional order and their optical interpretation

Haldun M. Ozaktas^*
, David Mendlovic

^*Corresponding author for this work

School of Electrical Engineering

Bilkent University

Research output: Contribution to journal › Article › peer-review

289 Scopus citations

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 language	English
Pages (from-to)	163-169
Number of pages	7
Journal	Optics Communications
Volume	101
Issue number	3-4
DOIs	https://doi.org/10.1016/0030-4018(93)90359-D
State	Published - 15 Aug 1993

Access to Document

10.1016/0030-4018(93)90359-D

Cite this

@article{491785d615b24a8c9ecb2b893c222e3c,

title = "Fourier transforms of fractional order and their optical interpretation",

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.",

author = "Ozaktas, \{Haldun M.\} and David Mendlovic",

year = "1993",

month = aug,

day = "15",

doi = "10.1016/0030-4018(93)90359-D",

language = "אנגלית",

volume = "101",

pages = "163--169",

journal = "Optics Communications",

issn = "0030-4018",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - Fourier transforms of fractional order and their optical interpretation

AU - Ozaktas, Haldun M.

AU - Mendlovic, David

PY - 1993/8/15

Y1 - 1993/8/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0027641018

U2 - 10.1016/0030-4018(93)90359-D

DO - 10.1016/0030-4018(93)90359-D

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0027641018

SN - 0030-4018

VL - 101

SP - 163

EP - 169

JO - Optics Communications

JF - Optics Communications

IS - 3-4

ER -

Fourier transforms of fractional order and their optical interpretation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this