A Modified Hybrid Integral Equation to Electromagnetic Scattering from Composite PEC-Dielectric Objects Containing Closed-Open PEC Junctions

IF 0.6 4区计算机科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Applied Computational Electromagnetics Society Journal Pub Date : 2021-08-06 DOI:10.47037/2020.aces.j.360604

Jinbo Liu, Hongyang Chen, Hui Zhang, Jin Yuan, Zengrui Li

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引用次数: 0

Abstract

To efficiently analyze the electromagnetic scattering from composite perfect electric conductor (PEC)-dielectric objects with coexisting closed-open PEC junctions, a modified hybrid integral equation (HIE) is established as the surface integral equation (SIE) part of the volume surface integral equation (VSIE), which employs the combined field integral equation (CFIE) and the electric field integral equation (EFIE) on the closed and open PEC surfaces, respectively. Different from the traditional HIE modeled for the objects whose closed and open PEC surfaces are strictly separate, the modified HIE can be applied to the objects containing closed-open junctions. A matrix equation is obtained by using the Galerkin’s method of moments (MoM), which is augmented with the spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA), improved by the mixed-potential representation and the triangle/tetrahedron-based grouping scheme. Because in the improved SE-MLFMA, the memory usage for storing the radiation patterns of basis functions is independent of the SIE type in the VSIE, it is highly appropriate for the fast solution of the VSIE that contains the HIE. Various numerical experiments demonstrate that during the calculation of composite objects containing closed-open PEC junctions, the application of the modified HIE in the VSIE can give reliable results with fast convergence speed.

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含闭开PEC结的复合PEC-介电物体电磁散射的修正混合积分方程

为了有效地分析具有闭合和开放PEC结共存的复合完美电导体(PEC)-介质物体的电磁散射，建立了一个改进的混合积分方程(HIE)作为体积表面积分方程(VSIE)的表面积分方程(SIE)部分，该方程分别在闭合和开放的PEC表面上采用联合场积分方程(CFIE)和电场积分方程(EFIE)。与传统的对闭合和开放PEC面严格分离的对象的HIE模型不同，改进的HIE模型可以应用于包含闭合和开放结点的对象。利用Galerkin矩量法(MoM)得到了一个矩阵方程，并对基于球面谐波展开的多层快速多极子算法(SE-MLFMA)进行了扩充，通过混合势表示和基于三角形/四面体的分组方案进行了改进。由于在改进的SE-MLFMA中，用于存储基函数辐射方向图的内存占用与VSIE中的SIE类型无关，因此它非常适合于包含HIE的VSIE的快速求解。各种数值实验表明，在含闭开PEC结点的复合物体的计算中，将改进的HIE应用于VSIE可以得到可靠的结果，收敛速度快。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Computational Electromagnetics Society Journal 工程技术-电信学

CiteScore

1.60

自引率

28.60%

发文量

审稿时长

9 months

期刊介绍： The ACES Journal is devoted to the exchange of information in computational electromagnetics, to the advancement of the state of the art, and to the promotion of related technical activities. A primary objective of the information exchange is the elimination of the need to "re-invent the wheel" to solve a previously solved computational problem in electrical engineering, physics, or related fields of study. The ACES Journal welcomes original, previously unpublished papers, relating to applied computational electromagnetics. All papers are refereed. A unique feature of ACES Journal is the publication of unsuccessful efforts in applied computational electromagnetics. Publication of such material provides a means to discuss problem areas in electromagnetic modeling. Manuscripts representing an unsuccessful application or negative result in computational electromagnetics is considered for publication only if a reasonable expectation of success (and a reasonable effort) are reflected. The technical activities promoted by this publication include code validation, performance analysis, and input/output standardization; code or technique optimization and error minimization; innovations in solution technique or in data input/output; identification of new applications for electromagnetics modeling codes and techniques; integration of computational electromagnetics techniques with new computer architectures; and correlation of computational parameters with physical mechanisms.