Christoph J. Salomon;Nikola Petrović;Bojana Petković
{"title":"Two-Step Equivalent Sources Method for Electromagnetic Near-Field Calculations at Microwave Frequencies","authors":"Christoph J. Salomon;Nikola Petrović;Bojana Petković","doi":"10.1109/TMAG.2025.3556521","DOIUrl":null,"url":null,"abstract":"In this article, we propose a two-step equivalent sources method (ESM) to calculate the total electric and magnetic fields in the vicinity of a dielectric scatterer located in the near-field of a radiating Hertz dipole. The electric component is determined by calculating equivalent bounded surface charges at the boundary of the dielectric object, resulting in reduced linear system of equations (LSE) compared with other ESMs that require the whole volume to be discretized. Singularities in the electric field of the surface point charges are avoided by introducing uniformly charged triangular sheets. A second set of equivalent sources is derived to account for the magnetic field. While these fictitious magnetic field sources are distributed over the whole volume of the object, no further matrix inversion is required as will be presented herein. Even with a relatively coarse discretization of 284 surface and 552 volume elements, an error of less than 0.2% with respect to a reference solution obtained from a finite element method (FEM) is achieved. The small error together with the significantly reduced computation time demonstrate the high accuracy and efficiency of the proposed method.","PeriodicalId":13405,"journal":{"name":"IEEE Transactions on Magnetics","volume":"61 6","pages":"1-9"},"PeriodicalIF":1.9000,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10948456","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Magnetics","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10948456/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we propose a two-step equivalent sources method (ESM) to calculate the total electric and magnetic fields in the vicinity of a dielectric scatterer located in the near-field of a radiating Hertz dipole. The electric component is determined by calculating equivalent bounded surface charges at the boundary of the dielectric object, resulting in reduced linear system of equations (LSE) compared with other ESMs that require the whole volume to be discretized. Singularities in the electric field of the surface point charges are avoided by introducing uniformly charged triangular sheets. A second set of equivalent sources is derived to account for the magnetic field. While these fictitious magnetic field sources are distributed over the whole volume of the object, no further matrix inversion is required as will be presented herein. Even with a relatively coarse discretization of 284 surface and 552 volume elements, an error of less than 0.2% with respect to a reference solution obtained from a finite element method (FEM) is achieved. The small error together with the significantly reduced computation time demonstrate the high accuracy and efficiency of the proposed method.
期刊介绍:
Science and technology related to the basic physics and engineering of magnetism, magnetic materials, applied magnetics, magnetic devices, and magnetic data storage. The IEEE Transactions on Magnetics publishes scholarly articles of archival value as well as tutorial expositions and critical reviews of classical subjects and topics of current interest.