Random fractional Fourier transform : stochastic perturbations along the axis of propagation

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Title: Random fractional Fourier transform : stochastic perturbations along the axis of propagation
Authors: Abe, Sumiyoshi
Sheridan, John T.
Permanent link: http://hdl.handle.net/10197/3425
Date: 1-Aug-1999
Online since: 2012-01-05T17:16:52Z
Abstract: The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium that are due to small random inhomogeneities in the longitudinal direction, the direction of propagation, and we formulate the random fractional Fourier transform (RFRT). Applying the RFRT to a self-fractional Fourier function, a Gaussian function, we discuss both the total power and the variance. The random Fourier transform is examined as a special limiting case.
Funding Details: Other funder
Type of material: Journal Article
Publisher: Optical Society of America
Journal: Journal of the Optical Society of America A
Volume: 16
Issue: 8
Start page: 1986
End page: 1991
Copyright (published version): 1999 Optical Society of America
Subject LCSH: Fourier transform optics
Stochastic processes
DOI: 10.1364/JOSAA.16.001986
Other versions: http://dx.doi.org/10.1364/JOSAA.16.001986
Language: en
Status of Item: Not peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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