{"title":"Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics","authors":"Juan R. Mosig","doi":"10.1109/MAP.2024.3362251","DOIUrl":null,"url":null,"abstract":"The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problems (part 2). A systematic treatment is presented, based on the concept of discrete Green’s functions (GFs). For the sake of simplicity and clarity, the development is restricted to geometries composed of 2D metallic plates embedded in a homogeneous medium. Within this framework, original analytical developments are presented that simplify the formulations and enable the implementation of point-matching (PM) and Galerkin strategies without the need for a numerical evaluation of multidimensional integrals. Simple Matlab codes are provided, allowing the reader not only to reproduce but also to go beyond the pioneering results of Harrington, to whom this article pays an undisguised homage.","PeriodicalId":13090,"journal":{"name":"IEEE Antennas and Propagation Magazine","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Antennas and Propagation Magazine","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10460331/","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problems (part 2). A systematic treatment is presented, based on the concept of discrete Green’s functions (GFs). For the sake of simplicity and clarity, the development is restricted to geometries composed of 2D metallic plates embedded in a homogeneous medium. Within this framework, original analytical developments are presented that simplify the formulations and enable the implementation of point-matching (PM) and Galerkin strategies without the need for a numerical evaluation of multidimensional integrals. Simple Matlab codes are provided, allowing the reader not only to reproduce but also to go beyond the pioneering results of Harrington, to whom this article pays an undisguised homage.
期刊介绍：
IEEE Antennas and Propagation Magazine actively solicits feature articles that describe engineering activities taking place in industry, government, and universities. All feature articles are subject to peer review. Emphasis is placed on providing the reader with a general understanding of either a particular subject or of the technical challenges being addressed by various organizations, as well as their capabilities to cope with these challenges. Articles presenting new results, review, tutorial, and historical articles are welcome, as are articles describing examples of good engineering. The technical field of interest of the Magazine is the same as the IEEE Antennas and Propagation Society, and includes the following: antennas, including analysis, design, development, measurement, and testing; radiation, propagation, and the interaction of electromagnetic waves with discrete and continuous media; and applications and systems pertinent to antennas, propagation, and sensing, such as applied optics, millimeter- and sub-millimeter-wave techniques, antenna signal processing and control, radio astronomy, and propagation and radiation aspects of terrestrial and space-based communication, including wireless, mobile, satellite, and telecommunications.
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