Meador W E, Weaver W R
Appl Opt. 1979 Apr 15;18(8):1204-8. doi: 10.1364/AO.18.001204.
A new diffusion model is developed for radiative transfer in particulate media. It includes the effects of higher Legendre moments while avoiding the mathematical complexities of solving multiple coupled differential moment equations and satisfying higher-order boundary conditions. The method accurately extrapolates the conventional Eddington approximation to problems involving large absorption. Although the simplifying assumptions limit the model to nonbeam incidence and spatial homogeneity of the scattering material, they are nonrestrictive with regard to the size and shape of the medium, the character of background reflections, and the type of phase function.
针对颗粒介质中的辐射传输问题，开发了一种新的扩散模型。该模型考虑了高阶勒让德矩的影响，同时避免了求解多个耦合微分矩方程和满足高阶边界条件的数学复杂性。该方法能将传统的爱丁顿近似精确地外推到涉及大吸收的问题。尽管简化假设将模型限制于非光束入射和散射材料的空间均匀性，但对于介质的大小和形状、背景反射特性以及相函数类型而言，这些假设并无限制。
