McHardy Christopher, Horneber Tobias, Rauh Cornelia
Opt Express. 2016 Jul 25;24(15):16999-7017. doi: 10.1364/OE.24.016999.
Based on the kinetic theory of photons, a new lattice Boltzmann method for the simulation of 3D radiation transport is presented. The method was successfully validated with Monte Carlo simulations of radiation transport in optical thick absorbing and non-absorbing turbid media containing either isotropic or anisotropic scatterers. Moreover, for the approximation of Mie-scattering, a new iterative algebraic approach for the discretization of the scattering phase function was developed, ensuring full conservation of energy and asymmetry after discretization. It was found that the main error sources of the method are caused by linearization and ray effects and suggestions for further improvement of the method are made.
基于光子动力学理论，提出了一种用于模拟三维辐射传输的新型格子玻尔兹曼方法。该方法通过对包含各向同性或各向异性散射体的光学厚吸收和非吸收浑浊介质中的辐射传输进行蒙特卡罗模拟得到了成功验证。此外，对于米氏散射的近似，开发了一种用于离散散射相函数的新型迭代代数方法，确保离散后能量和不对称性的完全守恒。研究发现该方法的主要误差源是由线性化和射线效应引起的，并对该方法的进一步改进提出了建议。
