Solution of the time-dependent diffusion equation for layered diffusive media by the eigenfunction method

被引：55

作者：

Martelli, F

Sassaroli, A

Del Bianco, S

Yamada, Y

Zaccanti, G

机构：

[1] Univ Florence, Dipartimento Fis, I-50019 Florence, Italy

[2] Ist Nazl Fis Mat, I-50019 Florence, Italy

[3] Natl Inst Adv Ind Sci & Technol, Inst Human Sci & Biomed Engn, Tsukuba, Ibaraki 3058564, Japan

[4] Univ Electrocommun, Dept Mech Engn & Intelligent Syst, Tokyo 1828585, Japan

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.67.056623

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

An exact solution of the time-dependent diffusion equation for the case of a two- and a three-layered finite diffusive medium is proposed. The method is based on the decomposition of the fluence rate in a series of eigenfunctions and upon the solution of the consequent transcendental equation for the eigenvalues obtained from the boundary conditions. Comparisons among the solution of the diffusion equation and the results of Monte Carlo simulations show the correctness of the proposed model.

引用

页数：14

共 42 条

[1] Accuracy of the diffusion approximation in determining the optical properties of a two-layer turbid medium [J].