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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 33, Iss. 18 — Sep. 15, 2008
  • pp: 2035–2037

Beam propagation factor based on the Rényi entropy

Pablo Vaveliuk and Marcone Lopes da Silva  »View Author Affiliations


Optics Letters, Vol. 33, Issue 18, pp. 2035-2037 (2008)
http://dx.doi.org/10.1364/OL.33.002035


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Abstract

A beam width measure based on Rényi entropy was introduced by Luis [Opt. Lett 31, 3644 (2006)] . That one-dimensional analysis was limited to beam profiles with rectangular symmetry. In this Letter, we derive a general Rényi beam width measure that accounts for the diffraction properties of beams with profiles of arbitrary symmetry. We also show that the square of this measure has a quadratic dependence as a function of the propagation coordinate, so that it can be applied to propagation through arbitrary ABCD paraxial systems. The Rényi beam propagation factor, here introduced, is discussed in examples where the M 2 factor seems to have a limited effectiveness in describing the beam spreading.

© 2008 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: May 1, 2008
Revised Manuscript: July 18, 2008
Manuscript Accepted: July 23, 2008
Published: September 4, 2008

Citation
Pablo Vaveliuk and Marcone Lopes da Silva, "Beam propagation factor based on the Rényi entropy," Opt. Lett. 33, 2035-2037 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-18-2035

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