基于扩展球谐函数的多次散射理论分析

Analysis of multiple scattering theory by expanding on the spherical harmonics

粒子的单次散射在一定程度上描述了光的传播特征。但在实际情况中,单次散射不足以描述传播过程的全貌。因此,我们必须考虑粒子的多次散射效应,以得到对光传播问题的一个完整描述。在本文中,我们首先建立散射传输方程,在求解散射传输方程中引入了辅助函数,然后再利用球谐函数对辅助函数进行扩展,导出了多次散射方程的解。

The characteristic of light propagating in the diffuse medium is described by single scattering of a particle in a degree.But in fact,single scattering of light in the diffuse medium is insufficiency to explain it.So,multiple scattering of light in the diffuse medium is worthy to be considered.In this paper,firstly,the equation of transfer for the multiple scattering lights is presented,in which two auxiliary functions are used.Then the auxiliary functions are expanded on the spherical harmonics.Finally,the resolution of the equation of transfer for the multiple scattering lights is obtained.