Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform
Date
1994Source Title
Applied Optics
Print ISSN
0003-6935
Publisher
Optical Society of America
Volume
33
Issue
26
Pages
6188 - 6193
Language
English
Type
ArticleItem Usage Stats
219
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Abstract
Two definitions of a fractional Fourier transform have been proposed previously. One is based on the
propagation of a wave field through a graded-index medium, and the other is based on rotating a
function's Wigner distribution. It is shown that both definitions are equivalent. An important result of
this equivalency is that the Wigner distribution of a wave field rotates as the wave field propagates
through a quadratic graded-index medium. The relation with ray-optics phase space is discussed.
Keywords
Fourier opticsOptical information processing
Fractional fourier transforms
Wignerdistribution functions
Graded-index media
Spatial filtering