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

Date
1995-10-15
Advisor
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Source Title
Optics Communications
Print ISSN
0030-4018
Electronic ISSN
1873-0310
Publisher
Elsevier BV * North-Holland
Volume
120
Issue
3-4
Pages
134 - 138
Language
English
Type
Article
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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.

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Keywords
Fourier optics, Numerical analysis, Optical data processing, Parameter estimation, Fractional Fourier transform, Fourier transforms
Citation
Published Version (Please cite this version)