特征模基函数法结合ACA算法求解电大目标双站RCS  

Solution to Bistatic RCS of Electrically Large Objects by Using Characteristic Mode Basis Function Method and ACA Algorithm

作　　者：高晓嵩 王仲根[1] 郭飞 GAO Xiaosong;WANG Zhonggen;GUO Fei(School of Electrical and Information Engineering,Anhui University of Science and Technology,Huainan Anhui 232001,China)

机构地区：[1]安徽理工大学电气与信息工程学院,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2023年第3期53-58,共6页Journal of Anhui University of Science and Technology:Natural Science

基　　金：安徽省自然科学基金资助项目(2108085MF200);安徽高校自然科学重点项目(KJ2020A307);大学生创新创业训练计划项目(202210361054)。

摘　　要：针对传统矩量法(MoM)在分析电大目标电磁散射特性时存在内存需求大、求解效率低的问题,提出一种基于分块理论的特征模基函数法结合自适应交叉近似算法(ACA)快速求解电大目标双站雷达散射截面的方法。首先,将目标剖分为多个子域,实现未知数的离散和矩阵维数的降维,通过分别求解各子域的特征模,有效减少特征模的求解时间。其次,在构造缩减矩阵计算互阻抗元素时,应用ACA算法计算互阻抗元素,加快矩阵向量积的运算并且减少了内存消耗。数值结果表明,与传统的MoM相比,在保证精度的前提下,该方法内存需求更低,计算效率更高。提出的新方法为电大目标电磁散射特性的分析提供了一种新的方案。Aiming at the problems of the traditional method of moments in analyzing the electromagnetic scattering properties of electrically large objects with large memory requirements and low solution efficiency,The method was proposed to solve the bistatic RCS of electrically large objects quickly based on the blocked characteristic mode basis function method(BCMBFM)combined with the adaptive cross approximation(ACA)algorithm in the research.Firstly,the object was divided into several subdomains to reduce the dimensionality of the matrix and discretize the unknowns,and the characteristic modes(CMs)of each subdomain were solved separately to effectively decrease the solution time of the CMs.Moreover,the ACA algorithm based on matrix compression was added to calculate the mutual impedance elements,so that the matrix vector product operation was effectively improved,and the memory requirement was reduced.Finally,the numerical results demonstrated that the proposed method had lower memory requirements and higher computational efficiency than that of the conventional MoM under the premise of guaranteed accuracy.The proposed method provides a new solution for analyzing the electromagnetic scattering characteristics of electrically large objects.

关 键 词：矩量法 特征模基函数法 自适应交叉近似 电大目标 

分 类 号：TN011[电子电信—物理电子学]