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  • Vol. 25, Iss. 18 — Sep. 15, 2000
  • pp: 1379–1381

Reconstruction of the Wigner transform of a rotationally symmetric two-dimensional beam from the Wigner transform of the beam's one-dimensional sample

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


Optics Letters, Vol. 25, Issue 18, pp. 1379-1381 (2000)
http://dx.doi.org/10.1364/OL.25.001379


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Abstract

A coherent rotationally symmetric two-dimensional beam is essentially one-dimensional in content: It is fully determined by the one-dimensional sample along a diagonal of the circularly symmetric field distribution in a transverse plane. The linear transform that reconstructs the four-dimensional Wigner distribution of the full two-dimensional beam from the two-dimensional Wigner distribution of the one-dimensional sample is presented.

© 2000 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(260.0260) Physical optics : Physical optics
(350.5500) Other areas of optics : Propagation

Citation
G. S. Agarwal and R. Simon, "Reconstruction of the Wigner transform of a rotationally symmetric two-dimensional beam from the Wigner transform of the beam's one-dimensional sample," Opt. Lett. 25, 1379-1381 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-18-1379


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References

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