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
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.