THE LAGUERRE-GAUSSIAN SERIES REPRESENTATION OF 2-DIMENSIONAL FRACTIONAL FOURIER-TRANSFORM

Authors
YU L HUANG WD HUANG MC ZHU ZZ ZENG XM JI W
Citation
L. Yu et al., THE LAGUERRE-GAUSSIAN SERIES REPRESENTATION OF 2-DIMENSIONAL FRACTIONAL FOURIER-TRANSFORM, Journal of physics. A, mathematical and general (Print), 31(46), 1998, pp. 9353-9357
Citations number
11
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
46
Year of publication
1998
Pages
9353 - 9357
Database
ISI
SICI code
0305-4470(1998)31:46<9353:TLSRO2>2.0.ZU;2-0
Abstract
In this paper the Laguerre-Gaussian (LG) series representation of the two-dimensional fractional Fourier transform is derived from conventio nal ordinary Fourier transform in polar coordinates. The kernel of thi s series representation is constituted by Laguerre-Gaussian functions, from which the series representation of a fractional Hankel transform can bt:easily derived. The connection between the gradient-index medi um and the LG series representation is illustrated as an example of it s applications.