适用于低频问题的多层复源点方法  

A Multilevel Complex Source Point method for low-frequency problems

作　　者：宋连宁 李先进 胡俊[1] 聂在平[1] SONG Lian-ning;LI Xian-jin;HU Jun;NIE Zai-ping(School of Electronic Science and Engineering,University of Electronic Science and Technology of China Chengdu 611731)

机构地区：[1]电子科技大学电子科学与工程学院,成都611731

出　　处：《电子科技大学学报》2018年第6期801-805,共5页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(61490695)

摘　　要：该文将多层复源点(MLCSP)方法用于求解理想导体目标的增量电场积分方程(AEFIE)。AEFIE将待求问题的电流和电荷进行分离,使用合适的频率归一化因子来平衡电场积分方程(EFIE)的磁矢量位和电标量位,使之成为解决低频问题的一种有效手段。为了降低AEFIE-矩量法(MoM)的复杂度,使用复源点(CSP)分别展开AEFIE的磁矢量位和电标量位,并构造了用于MLCSP的聚合矩阵以加速其矩矢相乘。数值算例表明,在求解低频电磁散射问题及电路问题时,该方法计算结果准确,其计算量和计算机内存需求可降低至O(N)量级。The multilevel complex source point(MLCSP)method is used to solve augmented electric field integral equation(AEFIE)for perfect electric conduct target.As an effective solution of the low-frequency problem,AEFIE separates current and charge to avoid the imbalance between the vector potential and the scalar potential in the conventional electric field integral equation(EFIE).In order to reduce the computational complexity of method of moment(MoM)for AEFIE,the vector potential and scalar potential are expanded by complex source point(CSP).Then,an aggregation operator is introduced to form a multilevel algorithm for acceleration the matrix-vector products.The numerical results showed that,the accuracy of the method is very high when solving low frequency electromagnetic scattering problems and circuit problems,while computational complexity can be reduced to O(N)level.

关 键 词：增量电场积分方程 复源点 快速算法 低频问题 

分 类 号：TN011[电子电信—物理电子学]