根据广义米氏理论,将入射的高斯波束按矢量球谐函数展开,获得了波束因子(展开系数)gmn,TM和gmn,TE的一般表达式。应用gmn的局域近似结果和散射系数anm和bnm的迭代公式与算法,研究了多层有耗介质球的光散射。讨论了波束宽度与球形粒子的尺寸和位置对散射系数和散射强度角分布的影响。

Based on the generalized Lorenz-Mie theory (GLMT), the incident fundamental Gaussian beam is expanded in terms of the vector spherical harmonics. According to localized approximation for the expanding coefficients gmn of Gaussian beam which are arbitrarily located to a spherical particle are derived. The recursive formulas as well as the algorithm to calculated scattering coefficients anm and bnm for a multilayered sphere are proposed. Numerical results and the dependence of scattering charicteristics on beam waist and the size of the particle are discussed.