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

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

Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA 24061, USA
Author to whom correspondence should be addressed.
Received: 18 January 2012 / Revised: 16 February 2012 / Accepted: 16 February 2012 / Published: 1 March 2012
(This article belongs to the Special Issue Feature Papers)
View Full-Text   |   Download PDF [285 KB, uploaded 1 March 2012]   |  


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. View Full-Text
Keywords: multiple scattering; Monte Carlo simulation; random walk theory multiple scattering; Monte Carlo simulation; random walk theory

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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

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