{"title":"求解三维麦克斯韦方程组的无条件稳定FDTD算法","authors":"T. Namiki","doi":"10.1109/MWSYM.2000.860955","DOIUrl":null,"url":null,"abstract":"We previously introduced an unconditionally stable FDTD algorithm for a two-dimensional TE wave. This algorithm is based on the alternating-direction implicit (ADI) method, so we have called this new algorithm the ADI-FDTD method. We analytically and numerically verified that the algorithm of this method is free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional wave. Numerical formulations are presented and simulation results are compared to those using the conventional FDTD method.","PeriodicalId":149404,"journal":{"name":"2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Unconditionally stable FDTD algorithm for solving three-dimensional Maxwell's equations\",\"authors\":\"T. Namiki\",\"doi\":\"10.1109/MWSYM.2000.860955\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We previously introduced an unconditionally stable FDTD algorithm for a two-dimensional TE wave. This algorithm is based on the alternating-direction implicit (ADI) method, so we have called this new algorithm the ADI-FDTD method. We analytically and numerically verified that the algorithm of this method is free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional wave. Numerical formulations are presented and simulation results are compared to those using the conventional FDTD method.\",\"PeriodicalId\":149404,\"journal\":{\"name\":\"2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSYM.2000.860955\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSYM.2000.860955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unconditionally stable FDTD algorithm for solving three-dimensional Maxwell's equations
We previously introduced an unconditionally stable FDTD algorithm for a two-dimensional TE wave. This algorithm is based on the alternating-direction implicit (ADI) method, so we have called this new algorithm the ADI-FDTD method. We analytically and numerically verified that the algorithm of this method is free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional wave. Numerical formulations are presented and simulation results are compared to those using the conventional FDTD method.
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