About the Wigner distribution of a graded index medium and the fractional fourier transform operation

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About_the_Wigner_distribution_of_a_graded_index_medium_and_the_fractional_Fourier_transform_operation_rearranged1.pdf (113.46 KB)

Date

1993-08

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International Society for Optical Engineering Proceedings

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SPIE

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Pages

407 - 408

Language

English

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Conference Paper

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Abstract

Upon propagation through quadratic graded index media, the Wigner distribution of the wavefunction of light rotates uniformly. As a consequence, a definition of fractional Fourier transforms based on rotating the functions Wigner distribution, and another based on propagation through graded index media, are equivalent.

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Keywords

Fourier transforms, Fractional Fourier transform, Light wavefunction rotation, Quadratic graded index media, Wigner distribution function, Optics

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http://hdl.handle.net/11693/27801

Published Version (Please cite this version)

https://doi.org/10.1117/12.2308583

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Scholarly Publications - Electrical and Electronics Engineering