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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 9 — Sep. 1, 2010
  • pp: 1999–2003

Statistics of spatial derivatives of Stokes parameters for isotropic random polarization field

Shun Zhang, Mitsuo Takeda, and Wei Wang  »View Author Affiliations

JOSA A, Vol. 27, Issue 9, pp. 1999-2003 (2010)

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The statistical properties of the spatial derivatives of the Stokes parameters for a random polarization field are studied. Based on the Gaussian assumption for the electric fields, the six-dimensional joint probability density function for the derivatives of the Stokes parameters is obtained from the statistics of the derivatives of the random polarization field. Subsequently, three two-dimensional probability density functions of derivatives of each Stokes parameter and the corresponding six marginal probability density functions are given. Finally, the joint and marginal density functions of the magnitude of the gradient of Stokes parameters are also derived for the first time, to our knowledge.

© 2010 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(260.5430) Physical optics : Polarization
(290.0290) Scattering : Scattering

ToC Category:
Coherence and Statistical Optics

Original Manuscript: April 16, 2010
Revised Manuscript: July 3, 2010
Manuscript Accepted: July 9, 2010
Published: August 13, 2010

Shun Zhang, Mitsuo Takeda, and Wei Wang, "Statistics of spatial derivatives of Stokes parameters for isotropic random polarization field," J. Opt. Soc. Am. A 27, 1999-2003 (2010)

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