## Stochastic modeling of polarized light scattering using a Monte Carlo based stencil method

JOSA A, Vol. 27, Issue 5, pp. 1100-1110 (2010)

http://dx.doi.org/10.1364/JOSAA.27.001100

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### Abstract

This paper deals with an efficient and accurate simulation algorithm to solve the vector Boltzmann equation for polarized light transport in scattering media. The approach is based on a stencil method, which was previously developed for unpolarized light scattering and proved to be much more efficient (speedup factors of up to 10 were reported) than the classical Monte Carlo while being equally accurate. To validate what we believe to be the new stencil method, a substrate composed of spherical non-absorbing particles embedded in a non-absorbing medium was considered. The corresponding single scattering Mueller matrix, which is required to model scattering of polarized light, was determined based on the Lorenz–Mie theory. From simulations of a reflected polarized laser beam, the Mueller matrix of the substrate was computed and compared with an established reference. The agreement is excellent, and it could be demonstrated that a significant speedup of the simulations is achieved due to the stencil approach compared with the classical Monte Carlo.

© 2010 Optical Society of America

**OCIS Codes**

(030.5620) Coherence and statistical optics : Radiative transfer

(260.5430) Physical optics : Polarization

(290.1350) Scattering : Backscattering

(290.4020) Scattering : Mie theory

(290.4210) Scattering : Multiple scattering

(290.7050) Scattering : Turbid media

**ToC Category:**

Scattering

**History**

Original Manuscript: November 2, 2009

Revised Manuscript: February 25, 2010

Manuscript Accepted: February 25, 2010

Published: April 20, 2010

**Virtual Issues**

Vol. 5, Iss. 9 *Virtual Journal for Biomedical Optics*

**Citation**

Miloš Šormaz, Tobias Stamm, and Patrick Jenny, "Stochastic modeling of polarized light scattering using a Monte Carlo based stencil method," J. Opt. Soc. Am. A **27**, 1100-1110 (2010)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-27-5-1100

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