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

T. Alieva, M.J. Bastiaans

Research output: Contribution to journalArticleAcademicpeer-review

12 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 languageEnglish
Pages (from-to)2319-2323
Number of pages4
JournalJournal of the Optical Society of America A, Optics, Image Science and Vision
Volume17
Issue number12
DOIs
Publication statusPublished - 2000

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Power spectrum
Fourier transforms
simplification
power spectra

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title = "Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams",
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.",
author = "T. Alieva and M.J. Bastiaans",
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language = "English",
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issn = "1084-7529",
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Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams. / Alieva, T.; Bastiaans, M.J.

In: Journal of the Optical Society of America A, Optics, Image Science and Vision, Vol. 17, No. 12, 2000, p. 2319-2323.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2000

Y1 - 2000

N2 - 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.

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 -