特征基函数法快速分析导体目标电磁散射特性

Fast analysis on electromagnetic scattering characteristics of conducting targets using characteristic basis function method

提出了一种分析导体目标电磁散射特性的有效数值方法,该方法以特征基函数法(Characteristic Basis Function Method,CBFM)为基础,并将自适应交叉近似(Adaptive Cross Approximation,ACA)算法应用于子块矩阵的低秩压缩计算.该方法将子块矩阵用一个列占优矩阵和一个行占优矩阵的乘积形式表示,从而加快次要特征基函数(Secondary Level Characteristic Basis Functions,SCBFs)的产生,提高缩减矩阵构建过程中的矩阵矢量相乘速度.本方法和传统矩量法(Method of Mo-ments,MoM)相比,计算时间和内存消耗都得到了有效缩减,数值结果证明了本方法的精确性和有效性.

Based on the characteristic basis function method（CBFM）, an efficient numerical approach is presented to analyze the electromagnetic scattering character- istics from conducting targets in conjunction with the adaptive cross approximation （ACA） algorithm. The ACA algorithm is applied to compute compressed forms of low rank block sub-matrices, this means that such matrix can be expressed as the product of a column dominant matrix and a row dominant matrix, which accelerate the matrix-vector multiplication procedure in the generation of secondary level char- acteristic basis functions （SCBFs） and construction of reduced matrix. Thus, the computational time and memory consumption are reduced significantly compared with the traditional method of moments （MoM）. Numerical results demonstrate that the proposed method has good accuracy and efficiency.