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Title: Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters

Abstract

We present a framework for the stochastic features of the polarization state of an electromagnetic wave propagating through the optical medium with both deterministic (controlled) and disordered birefringence. In this case, the Stokes parameters obey a Langevin-type equation on the Poincare sphere. The functional integral method provides for a natural tool to derive the Fokker-Planck equation for the probability distribution of the Stokes parameters. We solve the Fokker-Planck equation in the case of a random anisotropic active medium submitted to a homogeneous electromagnetic field. The possible dissipation and relaxation phenomena are studied in general and in various cases, and we give hints about how to validate experimentally the corresponding phenomenological equations.

Authors:
;  [1]
  1. Laboratoire de Physique des Solides, Bat. 510, CNRS UMR 8502, Universite Paris-Sud, Centre d'Orsay, F-91405 Orsay (France)
Publication Date:
OSTI Identifier:
21344728
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
Additional Journal Information:
Journal Volume: 81; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevE.81.036602; (c) 2010 The American Physical Society; Journal ID: ISSN 1539-3755
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; BIREFRINGENCE; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC RADIATION; FOKKER-PLANCK EQUATION; INTEGRALS; POLARIZATION; PROBABILITY; RANDOMNESS; RELAXATION; SPHERES; STOCHASTIC PROCESSES; STOKES PARAMETERS; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS; REFRACTION

Citation Formats

Botet, Robert, Kuratsuji, Hiroshi, and Department of Physics, Ritsumeikan University-BKC, Noji-Hill, Kusatsu City 525-8577. Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters. United States: N. p., 2010. Web. doi:10.1103/PHYSREVE.81.036602.
Botet, Robert, Kuratsuji, Hiroshi, & Department of Physics, Ritsumeikan University-BKC, Noji-Hill, Kusatsu City 525-8577. Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters. United States. https://doi.org/10.1103/PHYSREVE.81.036602
Botet, Robert, Kuratsuji, Hiroshi, and Department of Physics, Ritsumeikan University-BKC, Noji-Hill, Kusatsu City 525-8577. Mon . "Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters". United States. https://doi.org/10.1103/PHYSREVE.81.036602.
@article{osti_21344728,
title = {Polarization of an electromagnetic wave in a randomly birefringent medium: A stochastic theory of the Stokes parameters},
author = {Botet, Robert and Kuratsuji, Hiroshi and Department of Physics, Ritsumeikan University-BKC, Noji-Hill, Kusatsu City 525-8577},
abstractNote = {We present a framework for the stochastic features of the polarization state of an electromagnetic wave propagating through the optical medium with both deterministic (controlled) and disordered birefringence. In this case, the Stokes parameters obey a Langevin-type equation on the Poincare sphere. The functional integral method provides for a natural tool to derive the Fokker-Planck equation for the probability distribution of the Stokes parameters. We solve the Fokker-Planck equation in the case of a random anisotropic active medium submitted to a homogeneous electromagnetic field. The possible dissipation and relaxation phenomena are studied in general and in various cases, and we give hints about how to validate experimentally the corresponding phenomenological equations.},
doi = {10.1103/PHYSREVE.81.036602},
url = {https://www.osti.gov/biblio/21344728}, journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},
issn = {1539-3755},
number = 3,
volume = 81,
place = {United States},
year = {2010},
month = {3}
}