{"title":"矩量法中矩阵的装配及其在完美导电体中的实现","authors":"A. A. Vikulovskaia, D. A. Konyaev","doi":"10.3103/S0027134924701893","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":711,"journal":{"name":"Moscow University Physics Bulletin","volume":"79 5","pages":"551 - 559"},"PeriodicalIF":0.4000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Assembly of the Matrix in the Method of Moments and Its Implementation for Perfectly Conducting Bodies\",\"authors\":\"A. A. Vikulovskaia, D. A. Konyaev\",\"doi\":\"10.3103/S0027134924701893\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":711,\"journal\":{\"name\":\"Moscow University Physics Bulletin\",\"volume\":\"79 5\",\"pages\":\"551 - 559\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Physics Bulletin\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027134924701893\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Physics Bulletin","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S0027134924701893","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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.
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.