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Optics Letters

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  • Vol. 25, Iss. 18 — Sep. 15, 2000
  • pp: 1313–1315

Wigner representation of Laguerre--Gaussian beams

R. Simon and G. S. Agarwal  »View Author Affiliations


Optics Letters, Vol. 25, Issue 18, pp. 1313-1315 (2000)
http://dx.doi.org/10.1364/OL.25.001313


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Abstract

A phase-space description of the Laguerre–Gaussian modes is presented that points out the connection between these modes and the Hermite–Gaussian modes. We exploit the underlying phase-space symmetries to derive a closed-form expression for the Wigner distribution function of Laguerre–Gaussian modes. This expression is as compact as the one for the Hermite–Gaussian modes.

© 2000 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(080.2720) Geometric optics : Mathematical methods (general)
(260.0260) Physical optics : Physical optics
(350.5500) Other areas of optics : Propagation

Citation
R. Simon and G. S. Agarwal, "Wigner representation of Laguerre--Gaussian beams," Opt. Lett. 25, 1313-1315 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-18-1313

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