Institut für Lasertechnologien in der Medizin und Meßtechnik an der Universität Ulm, Helmholtzstr., 12, D-89081, Ulm, Germany.
Sci Rep. 2017 Jun 19;7(1):3819. doi: 10.1038/s41598-017-02979-4.
Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel's equations were implemented. Arbitrary rotationally symmetric phase functions can be applied to characterize the scattering in the turbid media. Solutions were derived for an obliquely incident beam having arbitrary spatial profiles. The derived solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation.
针对分层散射介质的情况，在所有域中推导出了三维辐射传输方程的精确和高效解。实现了基于菲涅耳方程的索引不匹配边界条件。可以应用任意旋转对称相函数来描述混浊介质中的散射。推导了具有任意空间分布的斜入射光束的解。所推导的解成功地通过蒙特卡罗模拟进行了验证，并部分与扩散方程的解析解进行了比较。
