三维目标电磁散射的自适应积分方法  

Analysis of 3D electromagnetic scattering using adaptive integral method

作　　者：胡俊[1] 王晓峰[1] 聂在平[1] 肖运辉[1] 

机构地区：[1]电子科技大学电子工程学院,四川成都610054

出　　处：《电波科学学报》2007年第4期614-618,共5页Chinese Journal of Radio Science

基　　金：国家自然科学基金重点项目(No.60431010);国防预研基金(No.51403011005DZ0246)

摘　　要：应用自适应积分方法并结合邻近组预条件求解三维导电目标的电磁散射。通过建立辅助基函数将三角形分域基函数映射到矩形网格中,并将格林函数离散变换为具有Toeplitz特性的矩阵。用快速傅立叶变换加速迭代求解中的矩阵和矢量相乘,该方法极大的减少了内存需求和CPU时间,其存储量和运算复杂度分别为低于O(N1.5)和O(N1.5logN)量级。应用邻近组预条件技术进一步降低了迭代求解所需的迭代次数。数值结果表明了该方法的准确性和高效性。The adaptive integral method （AIM） combined with a novel mesh neighbor （MN） preconditioner is applied to the scattering analysis of 3D PEC structures. This method achieves its CPU time and memory reduction by mapping the triangular subdomain basis functions onto a rectangular grid with auxiliary basis function and then by the fast Fourier transform （FFT） to accelerate the computation of the matrlx-vector products in the iterative solver. The algorithm has a memory requirement and complexity proportional to and or less. In addition, the MN-precondtioner is adopted to improve the convergence of the iterative solver employed in AIM. The numerical results are presented to show the efficiency and accuracy of the proposed method.

关 键 词：自适应积分方法 预条件 电磁散射 快速傅立叶变换 

分 类 号：TN011[电子电信—物理电子学]