量子电子学报, 2005, 22 (5): 749, 网络出版: 2006-05-15
人体组织中光子密度波漫射理论的模拟研究
Simulation of the photon density wave diffusion theory at human being's tissue
生物医学光子学 漫射理论 扩散方程 光子密度波 模拟研究 biomedical photonics diffusion theory diffusion equation photon density wave sinmlation research
摘要
运用矩阵变换方法对已有的无限长矩形条件下的扩散方程的解析解进行了化简,大大提高了计算机模拟的速度.利用给定的人体前臂组织的典型光学参数,给出了扩散方程解析解的模拟计算结果.分析了介质的基本光学特性参数对漫射光子密度的影响,在验证已有的理论基础上,发现该模型下的解析解不适用于漫射系数D较大的情况.
Abstract
The analysis resolution of the diffusion equation under the condition, which is infinite cube, was predigested by using matrix transform method. And the simulation velocity was improved much. Using the presented typical optical parameter of human being's forearm tissue, the simulation result of the analysis resolution of the diffusion equation was shown. The influences of the medium's basic optical parameter on the photon density wave were analyzed. These results validate the theory that have been provided, and if was found that the analysis resolution is not applicable for the conditions that diffusion coefficient is large.
朱拓, 孔艳, 薄亚明, 虞勇坚, 倪晓武. 人体组织中光子密度波漫射理论的模拟研究[J]. 量子电子学报, 2005, 22(5): 749. 朱拓, 孔艳, 薄亚明, 虞勇坚, 倪晓武. Simulation of the photon density wave diffusion theory at human being's tissue[J]. Chinese Journal of Quantum Electronics, 2005, 22(5): 749.