Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions

Aysegul Sahin; Haldun M. Ozaktas; David Mendlovic

doi:10.1016/0030-4018(95)00438-E

Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions

Aysegul Sahin, Haldun M. Ozaktas, David Mendlovic

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

56 Scopus citations

Abstract

Previous optical implementations of the two-dimensional fractional Fourier transform have assumed identical transform orders in both dimensions. We let the orders in the two orthogonal dimensions to be different and present general design formulae for optically implementing such transforms. This design formulae allows us to specify the two orders and the input, output scale parameters simultaneously.

Original language	English (US)
Pages (from-to)	134-138
Number of pages	5
Journal	Optics Communications
Volume	120
Issue number	3-4
DOIs	https://doi.org/10.1016/0030-4018(95)00438-E
State	Published - Oct 15 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/0030-4018(95)00438-E

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title = "Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions",

abstract = "Previous optical implementations of the two-dimensional fractional Fourier transform have assumed identical transform orders in both dimensions. We let the orders in the two orthogonal dimensions to be different and present general design formulae for optically implementing such transforms. This design formulae allows us to specify the two orders and the input, output scale parameters simultaneously.",

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

year = "1995",

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doi = "10.1016/0030-4018(95)00438-E",

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T1 - Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions

AU - Sahin, Aysegul

AU - Ozaktas, Haldun M.

AU - Mendlovic, David

PY - 1995/10/15

Y1 - 1995/10/15

N2 - Previous optical implementations of the two-dimensional fractional Fourier transform have assumed identical transform orders in both dimensions. We let the orders in the two orthogonal dimensions to be different and present general design formulae for optically implementing such transforms. This design formulae allows us to specify the two orders and the input, output scale parameters simultaneously.

AB - Previous optical implementations of the two-dimensional fractional Fourier transform have assumed identical transform orders in both dimensions. We let the orders in the two orthogonal dimensions to be different and present general design formulae for optically implementing such transforms. This design formulae allows us to specify the two orders and the input, output scale parameters simultaneously.

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U2 - 10.1016/0030-4018(95)00438-E

DO - 10.1016/0030-4018(95)00438-E

M3 - Article

AN - SCOPUS:0029389506

SN - 0030-4018

VL - 120

SP - 134

EP - 138

JO - Optics Communications

JF - Optics Communications

IS - 3-4

ER -

Optical implementation of the two-dimensional fractional Fourier transform with different orders in the two dimensions

Abstract

All Science Journal Classification (ASJC) codes

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