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 Langevintype equation on the Poincare sphere. The functional integral method provides for a natural tool to derive the FokkerPlanck equation for the probability distribution of the Stokes parameters. We solve the FokkerPlanck 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:

 Laboratoire de Physique des Solides, Bat. 510, CNRS UMR 8502, Universite ParisSud, Centre d'Orsay, F91405 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 15393755
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; BIREFRINGENCE; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC RADIATION; FOKKERPLANCK 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 UniversityBKC, NojiHill, Kusatsu City 5258577. 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 UniversityBKC, NojiHill, Kusatsu City 5258577. 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 UniversityBKC, NojiHill, Kusatsu City 5258577. 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 UniversityBKC, NojiHill, Kusatsu City 5258577},
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 Langevintype equation on the Poincare sphere. The functional integral method provides for a natural tool to derive the FokkerPlanck equation for the probability distribution of the Stokes parameters. We solve the FokkerPlanck 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 = {15393755},
number = 3,
volume = 81,
place = {United States},
year = {2010},
month = {3}
}