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光子传输扩散方程求解的有限元方法

A Finite Element Solution of Photon Diffuse Equation
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摘要 依据光子传输的扩散性,用有限元法导出光子传输扩散偏微分方程的数值解。该法采用Dirichlet边界条件,用光子扩散方程描述光子迁移运动,用有限元简化扩散方程,展开介质参数。通过求解式扩散方程得到任一时刻和径向位置的光通量。并以生物介质二维模型仿真算例,用VC++6.0编写求解通用程序。 According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element. The dirichle boundary condition was adopted in the method, photons move was described with the photon transmission equation, the transmission difuse equation was predigested and the parameters were developed with the finite element method. Luminous flux at anytime and at the radial position is obtained by solving the transmission equation. A simulation numerical ensample is given with a two-dimensional model in the organisms. And a general program of this problem is programmed by VC++6.0.
出处 《兵工自动化》 2004年第4期19-21,共3页 Ordnance Industry Automation
关键词 有限元法 扩散方程 光子传输 Finite element method Difuse equation Photon transmission
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