Appl. Sci. 2012, 2(1), 160-165; doi:10.3390/app2010160
Article

Scaling Law for Photon Transmission through Optically Turbid Slabs Based on Random Walk Theory

Xuesong Liemail and Lin Ma* email
Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA 24061, USA
* Author to whom correspondence should be addressed.
Received: 18 January 2012; in revised form: 16 February 2012 / Accepted: 16 February 2012 / Published: 1 March 2012
(This article belongs to the Special Issue Feature Papers)
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Abstract: Past work has demonstrated the value of a random walk theory (RWT) to solve multiple-scattering problems arising in numerous contexts. This paper’s goal is to investigate the application range of the RWT using Monte Carlo simulations and extending it to anisotropic media using scaling laws. Meanwhile, this paper also reiterates rules for converting RWT formulas to real physical dimensions, and corrects some errors which appear in an earlier publication. The RWT theory, validated by the Monte Carlo simulations and combined with the scaling law, is expected to be useful to study multiple scattering and to greatly reduce the computation cost.
Keywords: multiple scattering; Monte Carlo simulation; random walk theory

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Cite This Article

MDPI and ACS Style

Li, X.; Ma, L. Scaling Law for Photon Transmission through Optically Turbid Slabs Based on Random Walk Theory. Appl. Sci. 2012, 2, 160-165.

AMA Style

Li X, Ma L. Scaling Law for Photon Transmission through Optically Turbid Slabs Based on Random Walk Theory. Applied Sciences. 2012; 2(1):160-165.

Chicago/Turabian Style

Li, Xuesong; Ma, Lin. 2012. "Scaling Law for Photon Transmission through Optically Turbid Slabs Based on Random Walk Theory." Appl. Sci. 2, no. 1: 160-165.

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