About the Wigner distribution of a graded index medium and the fractional fourier transform operation
Author
Özaktaş, Haldun M.
Mendlovic, D.
Lohmann, A. W.
Date
1993-08Source Title
International Society for Optical Engineering Proceedings
Publisher
SPIE
Pages
407 - 408
Language
English
Type
Conference PaperItem Usage Stats
105
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43
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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.
Keywords
Fourier transformsFractional Fourier transform
Light wavefunction rotation
Quadratic graded index media
Wigner distribution function
Optics