A SIMPLE REALIZATION OF FRACTIONAL FOURIER-TRANSFORM AND RELATION TO HARMONIC-OSCILLATOR GREEN-FUNCTION

Citation
Gs. Agarwal et R. Simon, A SIMPLE REALIZATION OF FRACTIONAL FOURIER-TRANSFORM AND RELATION TO HARMONIC-OSCILLATOR GREEN-FUNCTION, Optics communications, 110(1-2), 1994, pp. 23-26
Citations number
16
Categorie Soggetti
Optics
Journal title
ISSN journal
00304018
Volume
110
Issue
1-2
Year of publication
1994
Pages
23 - 26
Database
ISI
SICI code
0030-4018(1994)110:1-2<23:ASROFF>2.0.ZU;2-8
Abstract
A simple relation between the fractional Fourier transform (FRACFT) an d the Green's function for the harmonic oscillator is demonstrated. Th is relation enables us to understand easily the characteristics of FRA CFT and leads to an elementary realization of FRACFT in terms of Fresn el diffraction.