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

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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Publication Details

Journal
Moscow University Physics Bulletin
Published
2024-10-01
DOI
https://doi.org/10.3103/s0027134924701893
Primary Topic
Electromagnetic Scattering and Analysis
Type
article
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article

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

D. A. Konyaev, A. A. Vikulovskaia
Moscow University Physics Bulletin
Electromagnetic Scattering and Analysis
article

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

D. A. Konyaev, A. A. Vikulovskaia
article en

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.

Moscow University Physics BulletinVol. 79(5)
Lomonosov Moscow State University (RU), Institute of Theoretical and Applied Electrodynamics (RU)
Openalex Percentile: Top 77%
Electromagnetic Scattering and Analysis
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