The Study of the Diffuse Equation About a Three-Layered Matched Medium

Authors: Xichang Wang¹; Yanjun Gong²; DongCao Song¹; Zhensen Wu³

Source: International Journal of Infrared and Millimeter Waves, Volume 25, Number 10, October 2004 , pp. 1545-1556(12)

Publisher: Springer

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Abstract:

Near-IR radiation is often utilized to detect the properties in tissues, up to now, a semi-infinite medium photon migration model and a two-layered turbid medium model are applied widely. But the solution is approximate. In this paper, According to the diffusion equation, employing the extrapolated boundary condition, we analyze the diffusion of photons of a three-layered matched medium, set up the accurate solution of the diffuse equation. In order to validate our solution, we apply the Monte-Carlo simulation of the time domain and the steady-state, we find that the solution of a three-layered matched medium diffusion equation not only accord with the Monte-Carlo simulation. The solution can still solve the problems of a two-layered turbid medium model and a semi-infinite medium photon migration model

Keywords: Tissue optics; the diffuse equation; the time domain; the steady-state

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:IJIM.0000047446.06021.a8

Affiliations: 1: Physics Department, Yantai University, Yantai ShanDong Province, China, 264005 2: Physics Department, Yantai University, Yantai ShanDong Province, China, 264005; School of Science, Xidian University, Xi'an, Shaanxi Province, China, 710071 3: School of Science, Xidian University, Xi'an, Shaanxi Province, China, 710071

Publication date: 2004-10-01