用于计算任意截面二维电磁散射的多心柱谐函数展开法

MULTI-CENTER CYLINDRICAL HARMONIC FUNCTION EXPANSION METHOD FOR COMPUTING THE ELECTROMAGNETIC SCATTERING BY TWO-DIMENSIONAL CYLINDER OF ARBITRARY CROSS-SECTIONS

本文提出了一种计算任意截面二维电磁散射的方法——多心柱谐函数展开法。它用多点的柱谐波函数展开散射场,代替柱谐函数展开中一点展开,并用最小均方边界误差准则处理边界条件。多极子法和柱谐函数展开法是该方法的两个特例。

Multi-center cylindrical harmonic function expansion method is introduced for formulating the two-dimensional scattering problems in which the scattered fields are represented in an expansion terms of the cylindrical harmonic functions at some proper points. The boundary conditions are applied at the surface of the scatterer and are satisfied using point-matching. It is shown that the generalized multipole technique and the cylindrical harmonic function expansion method are two special cases of this method. The solution for the coefficients of the series are obtained by inversion of an overdetermined matrix equation by least square method.