一种求解任意入射波束的波束因子的方法

提出了一种将任意入射波束因子用矢量波函数展开的方法，根据波束在球坐标系中的展开形式，以及球谐矢量函数与非球坐标系的波矢量函数之间的关系，推导出任意入射波束在相应坐标系中的波束因子的理论表述形式.以椭球坐标系为例，介绍了将离轴的入射波束，用椭球矢量波函数展开的波束因子求解方法，此方法还可应用于柱坐标、椭柱坐标系中波束因子的求解，为研究粒子对任意入射波束的散射打下了基础. 关键词： 波束因子 广义米理论 光散射

An approach to expand the beam coefficients for arbitrarily shaped beam

We present an approach to expand the shaped beam in terms of the spheroidal wavefunctions in spheroidal coordinates for a spheroidal particle illuminated by off-axis arbitrarily shaped beam. The relations between shaped beam coefficients in spherical coordinates and the different range of mode are discussed. Once the beam-shape coefficients are determined, the solution of scattering for arbitrarily shaped beam by a homogeneous particle can be obtained.