双球散射和均匀球对相干双波束的散射

Electromagnetic scattering by bi-sphere groups and coherent-beam scattering by homogeneous spheres

利用米(Mie)理论,以及介质分界面处的边界条件和一些特殊函数的变换关系,求解了两个球形介质小粒子对于平面波的散射问题,和单个均匀介质小球对于波束中心通过球心的两相干高斯波束的散射问题。二者均得到了严格的解析解,并整理出易于编程计算的形式。对散射系数的求解,前者采用了待定系数法,后者采用了几何变换法,均降低了计算的复杂程度。

By using Miens theory, the boundary conditions, and transformation of special functions, the scattering of hi-sphere groups illuminating by plane-wave and one sphere by cores-traversed coherent Gauss-beams is sdved, respectively. The analytical expressions of scattering fields were deduced so that the available forms for programming were obtained. For the solution of scattering coefficient, the undetermined method is used for the former and the plane geometry method is adopted for the later, and the complexity of the calculation is effectively decreased.