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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Scattering Analysis of Periodic Composite Metallic and Dielectric Structures with Synthetic Basis Functions
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Scattering Analysis of Periodic Composite Metallic and Dielectric Structures with Synthetic Basis Functions

机译：具有合成基函数的周期复合金属和介电结构的散射分析

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摘要

Synthetic basis functions method (SBFM) is used in this paper to analyze scattering properties of periodic arrays composed of composite metallic and dielectric structures based on EFIE-PMCHW equation. Compared to traditional method of moment (MoM) based on volume integral equations (VIE) or surface integral equations (SIE), SBFM uses fewer synthetic basis functions to approximate scattering properties of a target which decreases the number of unknowns as well as memory cost significantly. Auxiliary sources are introduced to imitate the mutual coupling effects between different blocks. By solving targets' responses to these auxiliary sources, scattering solution space will be determined. Then, singular value decomposition (SVD) is adopted to extract synthetic basis functions' coefficients matrix from scattering solution space. For periodic structures, synthetic basis functions of each block are exactly the same which means previously computed coefficients matrix can be recycled; therefore, SBFM is of great advantages in analyzing large scale periodic mixed problems.
机译：本文采用合成基函数法（SBFM），基于EFIE-PMCHW方程，分析了由复合金属和介电结构组成的周期阵列的散射特性。与基于体积积分方程（VIE）或表面积分方程（SIE）的传统矩量法（MoM）相比，SBFM使用较少的合成基函数来近似目标的散射特性，从而大大减少了未知数，并显着降低了存储成本。引入辅助源来模拟不同块之间的相互耦合效果。通过求解目标对这些辅助源的响应，将确定散射解空间。然后，采用奇异值分解（SVD）从散射解空间中提取合成基函数的系数矩阵。对于周期性结构，每个块的综合基函数是完全相同的，这意味着先前计算出的系数矩阵可以循环使用；因此，SBFM在分析大规模周期混合问题方面具有很大的优势。

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