Continuous vs. discrete fractional Fourier transforms

dc.contributor.author	Atakishiyev, NM
dc.contributor.author	Vicent, LE
dc.contributor.author	Wolf, KB
dc.date.accessioned	2011-01-22T10:27:40Z
dc.date.available	2011-01-22T10:27:40Z
dc.date.issued	1999
dc.identifier.issn	0377-0427
dc.identifier.uri	http://hdl.handle.net/11154/2643
dc.description.abstract	We compare the finite Fourier (-exponential) and Fourier-Kravchuk transforms	en_US
dc.description.abstract	both are discrete, finite versions of the Fourier integral transform. The latter is a canonical transform whose fractionalization is well defined. We examine the harmonic oscillator wavefunctions and their finite counterparts: Mehta's basis functions and the Kravchuk functions. The fractionalized Fourier-Kravchuk transform was proposed in J. Opt. Sec, Amer. A (14 (1997) 1467-1477) and is here subject of numerical analysis. In particular, we follow the harmonic motions of coherent states within a finite, discrete optical model of a shallow multimodal waveguide. (C) 1999 Elsevier Science B.V. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Continuous vs. discrete fractional Fourier transforms	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	2669
dc.source.novolpages	107(1):73-95
dc.subject.wos	Mathematics, Applied
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	fractional Fourier transform
dc.subject.keywords	Kravchuk (Krawtchouk) polynomial
dc.subject.keywords	waveguide
dc.subject.keywords	coherent state
dc.relation.journal	Journal of Computational and Applied Mathematics