Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform

Date
1994
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Applied Optics
Print ISSN
0003-6935
Electronic ISSN
Publisher
Optical Society of America
Volume
33
Issue
26
Pages
6188 - 6193
Language
English
Journal Title
Journal ISSN
Volume Title
Series
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.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)