匹配介质三层漫射方程的时域研究  

The Study of Time Domain about the Diffuse Aequation of Three-layered Matched Medium

作　　者：王喜昌[1] 王仲训[1] 宫彦军[1] 宋东草[1] 

机构地区：[1]烟台大学光电信息技术学院,山东烟台264005

出　　处：《激光与红外》2005年第3期203-206,共4页Laser & Infrared

基　　金：国家自然科学基金(No. 60371020)资助项目。

摘　　要：文中使用外推边界条件,根据漫射方程理论,精确给出了匹配介质中频域状态下三层体系漫射方程格林函数的解,并对频域进行傅里叶变换,计算出时域的表面反射率。为了验证我们的理论,我们使用蒙特卡罗方法进行仿真研究,结果表明我们的理论研究不仅和蒙特卡罗方法高度一致,而且可以兼容A.Kienle的两层体系,还可以解决两层体系和半无限厚介质的问题。Employing the extrapolated boundary condition,according to the diffusion equation,we give the solution of Green’s function of the diffuse equations of a three-layered matching medium in frequency domain.Through Fourier transform,we can compute the time-resolved reflectance.In order to test our theory,we compare the time-resolved reflectance between the solution of three-layered matching media diffusion equation and Monte-Carle simulation,and find the time-resolved reflectance of three-layered matching media diffusion equation not only accords with the monte-Carle simulation but alse accords with conclusion of A.Kienle.The solution can still solve the proplems of a two-layered turbid media model and a semi-infinite mediuin photon migration model.

关 键 词：生物光学 漫射方程 时域 

分 类 号：Q63[生物学—生物物理学] O435.1[机械工程—光学工程]