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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 12 — Dec. 1, 2000
  • pp: 2319–2323

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

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations


JOSA A, Vol. 17, Issue 12, pp. 2319-2323 (2000)
http://dx.doi.org/10.1364/JOSAA.17.002319


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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.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms

History
Original Manuscript: February 24, 2000
Revised Manuscript: June 23, 2000
Manuscript Accepted: June 27, 2000
Published: December 1, 2000

Citation
Tatiana Alieva and Martin J. Bastiaans, "Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams," J. Opt. Soc. Am. A 17, 2319-2323 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-12-2319

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