Exploiting Mirror Symmetry in the 2-D MoM Analysis of the Scattering by Conducting Cylinders

IF 4.8 2区计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC IEEE Antennas and Wireless Propagation Letters Pub Date : 2024-09-13 DOI:10.1109/LAWP.2024.3461428

Francisco J. Hidalgo;Rafael R. Boix;Miguel Camacho;Juan Córcoles

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Abstract

In this letter, the authors carry out a judicious application of the 2-D method of moments (MoM) to the analysis of the scattering of plane waves by infinite conducting cylinders in the case where the cylinders show two orthogonal planes of mirror symmetry. In particular, the original MoM scattering problem is replaced by four new MoM scattering problems in which the two mirror symmetry planes behave as perfect electric conductors and/or perfect magnetic conductors. The current densities of the four new MoM problems only have to be obtained in one quarter of the cylinders cross section, and therefore, the number of MoM matrix entries in each new problem is one-sixteenth the number of MoM matrix entries in the original problem, which makes it possible to reduce the CPU time required for the solution of the original problem to roughly one-fourth. Results are generated for cylinders where the cross section is a rectangle, a rhombus, an ellipse, and an ogive, the one-quarter CPU time reduction being confirmed in all cases.

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在对导电圆柱体散射进行二维 MoM 分析时利用镜像对称性

在这封信中，作者进行了一个明智的应用二维矩量法（MoM）来分析平面波的散射无限导电圆柱体的情况下，柱体显示两个正交的镜面对称平面。特别是，原来的MoM散射问题被四个新的MoM散射问题所取代，其中两个镜面对称平面表现为完美电导体和/或完美磁导体。四个新MoM问题的当前密度只需要在圆柱体截面的四分之一处得到，因此，每个新问题的MoM矩阵条目数是原问题MoM矩阵条目数的十六分之一，这使得求解原问题所需的CPU时间可以减少到大约四分之一。对于横截面为矩形、菱形、椭圆形和椭圆的圆柱体生成结果，在所有情况下都证实减少了四分之一的CPU时间。

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来源期刊

IEEE Antennas and Wireless Propagation Letters 工程技术-电信学

CiteScore

8.00

自引率

9.50%

发文量

529

审稿时长

1.0 months

期刊介绍： IEEE Antennas and Wireless Propagation Letters (AWP Letters) is devoted to the rapid electronic publication of short manuscripts in the technical areas of Antennas and Wireless Propagation. These are areas of competence for the IEEE Antennas and Propagation Society (AP-S). AWPL aims to be one of the "fastest" journals among IEEE publications. This means that for papers that are eventually accepted, it is intended that an author may expect his or her paper to appear in IEEE Xplore, on average, around two months after submission.