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A domain decomposition method based on a generalized scattering matrix formalism and a complex source expansion

机译:一种基于广义散射矩阵形式和复源扩展的区域分解方法

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摘要

A general domain decomposition scheme based on the use\udof complex sources is presented for the electromagnetic analysis of\udcomplex antenna and/or scattering problems. The analysis domain is\uddecomposed into separate subdomains whose interactions are described\udthrough a network formalism, where the ports are associated with\udcomplex point source (CPS) beams radially emerging from the\udsubdomain boundaries. Each obstacle is independently analyzed with\udthe most appropriate technique and described through a generalized\udscattering matrix (GSM). Finally, a linear system is constructed, where\udthe excitation vector is given by the complex source expansion of the\udprimary sources. Thanks to the angular selectivity of the CPS beams,\udthe subdomain interactions only involve a small fraction of the beams;\udthus, yielding sparse moderate size linear systems. Due to the reusability\udof the GSMs, the proposed approach is particularly efficient\udin the context of parametric studies or antenna installation problems.\udNumerical examples are provided to demonstrate the efficiency and the\udaccuracy of the proposed strategy.
机译:针对复杂天线的电磁分析和/或散射问题,提出了一种基于复杂来源使用的通用域分解方案。分析域被分解为单独的子域,其相互作用通过网络形式描述,其中端口与从子域边界放射状出现的子点源(CPS)波束相关联。使用最合适的技术对每个障碍进行独立分析,并通过广义散射矩阵(GSM)进行描述。最终,构建了一个线性系统,其中\通过主源的复数源展开给出激励矢量。由于CPS光束的角度选择性,\ subdomain相互作用仅涉及一小部分光束; \ uds,从而产生稀疏的中等大小的线性系统。由于GSM的可重用性,本文提出的方法在参数研究或天线安装问题的情况下特别有效。本文提供了一些数字示例来证明所提出策略的效率和准确性。

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