偏心球对贝塞尔波束的散射特性研究

Investigation on the Scattering of Bessel Beam by an Eccentric Sphere

基于广义洛伦兹米理论,研究了偏心球粒子对在轴入射零阶贝塞尔波束的散射。利用球矢量波函数展开,给出了空间各区域电磁场的展开形式以及远场散射场表达式,并利用电磁场的边界条件,给出了各系数关系形式。通过与面积分方程方法的数值结果对比,验证了理论的正确性。数值分析了波束锥型角、偏心球内核介质折射系数、偏心距、内核半径等波束、偏心球参数对远场散射的影响。

In the framework of the general Lorenz-Mie theory, the scattering of an on-axis incident zero-order Bessel beam by an eccentric sphere is investigated. The electric and magnetic fields in different regions are expanded in terms of the sphere vector wave functions. Utilizing the boundary conditions of electromagnetic field, the expressions of expansion coefficient equations are given. Numerical simulations about the effect of Bessel beam half-angle, eccentricity, refractive index of inner sphere, radius of inner sphere on scattering are analyzed in detail.