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

^*Corresponding author for this work

School of Electrical Engineering

Bilkent University

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
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 - 15 Oct 1995

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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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AU - Mendlovic, David

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

Abstract

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