Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams

Authors
Alieva, T Bastiaans, MJ
Citation
T. Alieva et Mj. Bastiaans, Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams, J OPT SOC A, 17(12), 2000, pp. 2319-2323
Citations number
13
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
ISSN journal
10847529 → ACNP
Volume
17
Issue
12
Year of publication
2000
Pages
2319 - 2323
Database
ISI
SICI code
1084-7529(200012)17:12<2319:WDAFFT>2.0.ZU;2-0
Abstract
A useful relationship between the fractional Fourier transform power spectr a of a two-dimensional symmetric optical beam, on the one hand, and its Wig ner distribution, on the other, is established. This relationship allows a significant simplification of the standard procedure for the reconstruction of the Wigner distribution from the field intensity distributions in the f ractional Fourier domains. The Wigner distribution of a symmetric optical b eam is analyzed, both in the coherent and in the partially coherent case. ( C) 2000 Optical Society of America [S0740-3232(00)00212-X] OCIS codes: 070. 0070, 070.2590.