Analytical approximate solutions of the time-domain diffusion equation in layered slabs

被引：46

作者：

Martelli, F

Sassaroli, A

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：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2002年 / 19卷 / 01期

关键词：

D O I：

10.1364/JOSAA.19.000071

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Time-domain analytical solutions of the diffusion equation for photon migration through highly scattering two- and three-layered slabs have been obtained. The effect of the refractive-index mismatch with the external medium is taken into account, and approximate boundary conditions at the interface between the diffusive layers have been considered. A Monte Carlo code for photon migration through a layered slab has also been developed. Comparisons with the results of Monte Carlo simulations showed that the analytical solutions correctly describe the mean path length followed by photons inside each diffusive layer and the shape of the temporal profile of received photons, while discrepancies are observed for the continuous-wave reflectance or transmittance. (C) 2002 Optical Society of America.

引用

页码：71 / 80

页数：10

共 33 条

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