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
|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versions:||http://dx.doi.org/10.1364/JOSAA.16.001986||Language:||en||Status of Item:||Not peer reviewed|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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