{"title":"Features of Numerical Solution of the Maxwell Equations by the FDTD Method in the Homogeneous and Inhomogeneous Formulations","authors":"P. A. Makarov, V. A. Ustyugov","doi":"10.1134/s1063784224700543","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>We investigate the features of the numerical FDTD solution of the Maxwell equations, formulated as the Cauchy problems for the corresponding homogeneous and inhomogeneous systems of equations. It is shown that for the case of time-limited field sources, the Cauchy problem for an inhomogeneous system is equivalent to the corresponding Cauchy problem for a homogeneous system. The criterion for estimating the correctness of the obtained solution is formulated. The features of the numerical solution of the homogeneous and inhomogeneous Cauchy problems for different forms of initial configurations of electromagnetic fields and setting pulses are analyzed. The necessary and sufficient conditions for correctness of the obtained solutions are formulated.</p>","PeriodicalId":783,"journal":{"name":"Technical Physics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s1063784224700543","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the features of the numerical FDTD solution of the Maxwell equations, formulated as the Cauchy problems for the corresponding homogeneous and inhomogeneous systems of equations. It is shown that for the case of time-limited field sources, the Cauchy problem for an inhomogeneous system is equivalent to the corresponding Cauchy problem for a homogeneous system. The criterion for estimating the correctness of the obtained solution is formulated. The features of the numerical solution of the homogeneous and inhomogeneous Cauchy problems for different forms of initial configurations of electromagnetic fields and setting pulses are analyzed. The necessary and sufficient conditions for correctness of the obtained solutions are formulated.
期刊介绍：
Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.
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