应用快速偶极子法与RACA法快速求解导体目标RCS

Fast calculation of RCS for conducting objects using FDM and RACA algorithm

文章将快速偶极子法(fast dipole method,FDM)结合再压缩自适应交叉近似(recompressed adaptive cross approximation,RACA)算法应用于导体目标雷达散射截面(radar cross section,RCS)的计算。快速偶极子法是在等效偶极子法的基础上,将远场组相互作用的偶极子之间的距离通过泰勒级数展开,实现矩阵向量积的快速计算。为了进一步加快近场组互阻抗元素的填充,采用RACA算法对阻抗矩阵进行进一步压缩。与传统FDM相比,计算时间和内存得到了有效缩减,数值结果证明了该方法的有效性和精确性。

The fast dipole method(FDM)combined with recompressed adaptive cross approximation(RACA)algorithm is used to solve the radar cross section(RCS)for perfect conducting targets.The FDM,which is based on the equivalent dipole-moment method(EDM),uses a simple Taylor’s series to expand the distance between the interacting equivalent dipoles in far-field groups and realizes the fast calculation of matrix vector product.In order to speed up the calculation of mutual impedance elements in the near-field groups,the RACA algorithm is used to further compress the impedance matrix.The computational time and memory consumption of the proposed method are reduced effectively compared with the traditional FDM.Numerical results are presented to demonstrate the efficiency and accuracy of this method.