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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 26 — Sep. 10, 1994
  • pp: 6188–6193

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

David Mendlovic, Haldun M. Ozaktas, and Adolf W. Lohmann  »View Author Affiliations


Applied Optics, Vol. 33, Issue 26, pp. 6188-6193 (1994)
http://dx.doi.org/10.1364/AO.33.006188


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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.

© 1994 Optical Society of America

History
Original Manuscript: March 8, 1993
Revised Manuscript: November 22, 1993
Published: September 10, 1994

Citation
David Mendlovic, Haldun M. Ozaktas, and Adolf W. Lohmann, "Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform," Appl. Opt. 33, 6188-6193 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-26-6188

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