On the Assembly of the Matrix in the Method of Moments and Its Implementation for Perfectly Conducting Bodies

IF 0.4 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Moscow University Physics Bulletin Pub Date : 2025-01-17 DOI:10.3103/S0027134924701893
A. A. Vikulovskaia, D. A. Konyaev
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Abstract

One of the methods for solving the problem of electromagnetic wave diffraction on perfectly conducting bodies and screens—the method of moments—is considered. The basic principles of this method are presented, including reducing the problem to an electric-type integro-differential equation and using Rao–Wilton–Glisson functions as basis functions, with an emphasis on the approximation of integrals over the triangles of the mesh on the conductor’s surface. Based on the considered method of approximating integrals over triangles, an improvement has been made to the previously developed software package, which allows solving diffraction problems on perfectly conducting bodies of complex shapes in the vector case. It is demonstrated that the changes reduced the error of the approximate solution. The results obtained using the developed package are in good agreement with similar calculations using the FEKO software package.

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矩量法中矩阵的装配及其在完美导电体中的实现
考虑了求解完全导电体和屏上电磁波衍射问题的一种方法——矩量法。介绍了该方法的基本原理,包括将问题简化为电型积分-微分方程,并使用Rao-Wilton-Glisson函数作为基函数,重点是在导体表面网格三角形上逼近积分。基于所考虑的逼近三角形积分的方法,对先前开发的软件包进行了改进,可以在矢量情况下解决复杂形状的完美导电体上的衍射问题。结果表明,这些变化减小了近似解的误差。使用开发的软件包得到的结果与使用FEKO软件包的类似计算结果一致。
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来源期刊
Moscow University Physics Bulletin
Moscow University Physics Bulletin PHYSICS, MULTIDISCIPLINARY-
CiteScore
0.70
自引率
0.00%
发文量
129
审稿时长
6-12 weeks
期刊介绍: Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.
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