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光在散射介质中传播的有限元方法:边界条件和源条件。

The finite element method for the propagation of light in scattering media: boundary and source conditions.

作者信息

Schweiger M, Arridge S R, Hiraoka M, Delpy D T

机构信息

Department of Medical Physics and Bioengineering, University College London, England.

出版信息

Med Phys. 1995 Nov;22(11 Pt 1):1779-92. doi: 10.1118/1.597634.

DOI:10.1118/1.597634
PMID:8587533
Abstract

This paper extends our work on applying the Finite Element Method (FEM) to the propagation of light in tissue. We address herein the topics of boundary conditions and source specification for this method. We demonstrate that a variety of boundary conditions stipulated on the Radiative Transfer Equation can be implemented in a FEM approach, as well as the specification of a light source by a Neumann condition rather than an isotropic point source. We compare results for a number of different combinations of boundary and source conditions under FEM, as well as the corresponding cases in a Monte Carlo model.

摘要

本文扩展了我们在将有限元方法(FEM)应用于光在组织中传播方面的工作。我们在此讨论该方法的边界条件和源指定问题。我们证明了辐射传输方程规定的各种边界条件可以在有限元方法中实现,以及通过诺伊曼条件而非各向同性点源来指定光源。我们比较了有限元方法下多种不同边界和源条件组合的结果,以及蒙特卡罗模型中的相应情况。

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