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

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buir.contributor.authorHaldun M. Özaktaş
dc.citation.epage6193en_US
dc.citation.issueNumber26en_US
dc.citation.spage6188en_US
dc.citation.volumeNumber33en_US
dc.contributor.authorMendlovic, D.
dc.contributor.authorÖzaktaş, Haldun M.
dc.contributor.authorLohmann, A. W.
dc.date.accessioned2015-07-28T12:07:27Z
dc.date.available2015-07-28T12:07:27Z
dc.date.issued1994en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractTwo 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.en_US
dc.identifier.doi10.1364/AO.33.006188en_US
dc.identifier.issn0003-6935
dc.identifier.urihttp://hdl.handle.net/11693/13641
dc.language.isoEnglishen_US
dc.publisherOptical Society of Americaen_US
dc.relation.isversionofhttp://dx.doi.org/10.1364/AO.33.006188en_US
dc.source.titleApplied Opticsen_US
dc.subjectFourier opticsen_US
dc.subjectOptical information processingen_US
dc.subjectFractional fourier transformsen_US
dc.subjectWignerdistribution functionsen_US
dc.subjectGraded-index mediaen_US
dc.subjectSpatial filteringen_US
dc.titleGraded-index fibers, Wigner-distribution functions, and the fractional Fourier transformen_US
dc.typeArticleen_US
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