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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. 21, Iss. 11 — Nov. 1, 2004
  • pp: 2124–2134

Entropy of partially polarized light and application to statistical processing techniques

Philippe Réfrégier, François Goudail, Pierre Chavel, and Ari Friberg  »View Author Affiliations


JOSA A, Vol. 21, Issue 11, pp. 2124-2134 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002124


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Abstract

We have analyzed entropy properties of coherent and partially polarized light in an arbitrary number of spatial dimensions. We show that for Gaussian fields, the Shannon entropy is a simple function of the intensity and of the Barakat degree of polarization. In particular, we provide a probabilistic interpretation of this definition of the degree of polarization. Using information theory results, we also deduce some physical properties of partially polarized light such as additivity of the entropy and depolarization effects induced by mixing partially polarized states of light. Finally, we demonstrate that entropy measures can play an important role in segmentation and detection tasks.

© 2004 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.4280) Coherence and statistical optics : Noise in imaging systems
(260.5430) Physical optics : Polarization

History
Original Manuscript: February 25, 2004
Revised Manuscript: June 10, 2004
Manuscript Accepted: June 10, 2004
Published: November 1, 2004

Citation
Philippe Réfrégier, François Goudail, Pierre Chavel, and Ari Friberg, "Entropy of partially polarized light and application to statistical processing techniques," J. Opt. Soc. Am. A 21, 2124-2134 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-11-2124

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