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

T. Alieva; M.J. Bastiaans

doi:10.1364/JOSAA.17.002319

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

T. Alieva, M.J. Bastiaans

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

Abstract

A useful relationship between the fractional Fourier transform power spectra of a two-dimensional symmetric optical beam on the one hand and its Wigner 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 fractional Fourier domains. The Wigner distribution of a symmetric optical beam is analyzed, both in the coherent and in the partially coherent case.

Original language	English
Pages (from-to)	2319-2323
Number of pages	4
Journal	Journal of the Optical Society of America A, Optics, Image Science and Vision
Volume	17
Issue number	12
DOIs	https://doi.org/10.1364/JOSAA.17.002319
Publication status	Published - 2000

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abstract = "A useful relationship between the fractional Fourier transform power spectra of a two-dimensional symmetric optical beam on the one hand and its Wigner 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 fractional Fourier domains. The Wigner distribution of a symmetric optical beam is analyzed, both in the coherent and in the partially coherent case.",

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AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2000

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AB - A useful relationship between the fractional Fourier transform power spectra of a two-dimensional symmetric optical beam on the one hand and its Wigner 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 fractional Fourier domains. The Wigner distribution of a symmetric optical beam is analyzed, both in the coherent and in the partially coherent case.

U2 - 10.1364/JOSAA.17.002319

DO - 10.1364/JOSAA.17.002319

M3 - Article

VL - 17

SP - 2319

EP - 2323

JO - Journal of the Optical Society of America A, Optics, Image Science and Vision

JF - Journal of the Optical Society of America A, Optics, Image Science and Vision

SN - 1084-7529

IS - 12

ER -