Pfeiffer Nick, Chapman Glenn H
Simon Fraser University, School of Engineering Science, Burnaby, BC, Canada.
Opt Express. 2008 Sep 1;16(18):13637-42. doi: 10.1364/oe.16.013637.
An analytic solution to the problem of determining photon direction after successive scatterings in an infinite, homogeneous, isotropic medium, where each scattering event is in accordance with a two-term Henyey-Greenstein phase function, is presented and compared against Monte Carlo simulation results. The photon direction is described by a probability density function of the dot product of the initial direction and the direction after multiple scattering events, and it is found that such a probability density function can be represented as a weighted series of one-term Henyey-Greenstein phase functions.
给出了在无限、均匀、各向同性介质中连续散射后确定光子方向问题的解析解,其中每个散射事件都符合双项亨尼西 - 格林斯坦相函数,并将其与蒙特卡罗模拟结果进行了比较。光子方向由初始方向与多次散射事件后的方向的点积的概率密度函数描述,并且发现这样的概率密度函数可以表示为单项亨尼西 - 格林斯坦相函数的加权级数。