李先进, 雷霖, 陈涌频, 江明, 荣志, 胡俊. 基于改进的体面积分方程区域分解方法高效求解有限大频率选择表面结构的电磁散射特性[J]. 电波科学学报, 2019, 34(1): 76-82. doi: 10.13443/j.cjors.2018083002
      引用本文: 李先进, 雷霖, 陈涌频, 江明, 荣志, 胡俊. 基于改进的体面积分方程区域分解方法高效求解有限大频率选择表面结构的电磁散射特性[J]. 电波科学学报, 2019, 34(1): 76-82. doi: 10.13443/j.cjors.2018083002
      LI Xianjin, LEI Lin, CHEN Yongpin, JIANG Ming, RONG Zhi, HU Jun. The efficient solution of electromagnetic scattering from finite frequency selective surface by an improved VSIE-DDM[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2019, 34(1): 76-82. doi: 10.13443/j.cjors.2018083002
      Citation: LI Xianjin, LEI Lin, CHEN Yongpin, JIANG Ming, RONG Zhi, HU Jun. The efficient solution of electromagnetic scattering from finite frequency selective surface by an improved VSIE-DDM[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2019, 34(1): 76-82. doi: 10.13443/j.cjors.2018083002

      基于改进的体面积分方程区域分解方法高效求解有限大频率选择表面结构的电磁散射特性

      The efficient solution of electromagnetic scattering from finite frequency selective surface by an improved VSIE-DDM

      • 摘要: 针对复杂的有限大频率选择表面(frequency selective surface,FSS)结构阐述了一种改进的非重叠和非共型的体面积分方程区域分解方法(volume-surface integral equation domain decomposition method,VSIE-DDM).为了对其进行高效的电磁分析,我们在最近发展的VSIE-DDM的基础上开发了不同的分区方式,每个子区域不必相同大小,可以任意形状,使该VSIE-DDM分区更加灵活.并且由于FSS的精细单元和薄介质基底,导致网格比较稠密,因此得到维度比较大的矩阵.为了更高效计算更大维度的子区自耦合矩阵的逆,使用了内外迭代技术使得该方法可以采用电尺寸更大的子区,获得更好的收敛性,进一步提高了仿真效率.通过几个数值算例验证了本文所提算法的计算性能.

         

        Abstract: This paper describes an improved non-overlapping and non-conformal volume-surface integral equation domain decomposition method (VSIE-DDM) for the complex finite frequency selection surface (FSS) structures. To efficient electromagnetic analysis of this complex FSS structure, based on the recently developed domain decomposition method (DDM), we first developed different partitioning methods, each subdomain must not be identical and can be arbitrarily shaped. It makes the VSIE-DDM more flexible. Then, due to the fine cells of the FSS and the thin dielectric substrate, the mesh is denser, so a matrix with a larger dimension is obtained. In order to calculate the inverse of the self-coupling matrix of the subdomains of larger dimensions more efficiently, an inner-outer iterative technique is used. Subdomains with larger electric size can be employed, which makes the DDM obtain better convergence and further improve the simulation efficiency. We show several numerical examples to verify the computational performance of the algorithm used in this paper.

         

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