Takano Yoshihide, Liou Kuo-Nan
Joint Institute for Earth System Science and Engineering, and Department of Atmospheric and Oceanic Sciences, University of California, Los Angeles, California 90095, USA.
Appl Opt. 2010 Jul 10;49(20):3990-6. doi: 10.1364/AO.49.003990.
We have developed a hit-and-miss Monte Carlo geometric ray-tracing program to compute the scattering phase matrix for concentrically stratified spheres. Using typical refractive indices for water and aerosols in the calculations, numerous rainbow features appear in the phase matrix that deviate from the results calculated from homogeneous spheres. In the context of geometric ray tracing, rainbows and glory are identified by means of their ray paths, which provide physical explanation for the features produced by the "exact" Lorenz-Mie theory. The computed results for the phase matrix, the single-scattering albedo, and the asymmetry factor for a size parameter of approximately 600 compared closely with those evaluated from the "exact" theory.
我们开发了一个随机蒙特卡罗几何光线追踪程序，用于计算同心分层球体的散射相矩阵。在计算中使用水和气溶胶的典型折射率，相矩阵中出现了许多与均匀球体计算结果不同的彩虹特征。在几何光线追踪的背景下，通过光线路径识别彩虹和荣耀，这为“精确”的洛伦兹-米理论所产生的特征提供了物理解释。对于大小参数约为600的情况，计算得到的相矩阵、单次散射反照率和不对称因子的结果与从“精确”理论评估得到的结果非常接近。
