{"title":"基于分步格式的无条件稳定时域有限差分法求解三维麦克斯韦方程组","authors":"Yong-Dan Kong, Q. Chu","doi":"10.1109/ICMMT.2008.4540338","DOIUrl":null,"url":null,"abstract":"A new split-step finite-difference time-domain (FDTD) method for solving three-dimensional Maxwell's equations is presented, which is proven to be unconditionally-stable and has simpler procedure formulation than the operator splitting (OS) FDTD method based on exponential evolution operator scheme. The proposed method has the new splitting forms along the x, y and z coordinate directions to reduce computational complexity and the second-order accuracy in both time and space. In the application of a cavity, the proposed method produces 35% reduction of the run time than the split-step (SS)-FDTD (2, 2) method.","PeriodicalId":315133,"journal":{"name":"2008 International Conference on Microwave and Millimeter Wave Technology","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"An unconditionally-stable FDTD method based on split-step scheme for solving three-dimensional maxwell equations\",\"authors\":\"Yong-Dan Kong, Q. Chu\",\"doi\":\"10.1109/ICMMT.2008.4540338\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new split-step finite-difference time-domain (FDTD) method for solving three-dimensional Maxwell's equations is presented, which is proven to be unconditionally-stable and has simpler procedure formulation than the operator splitting (OS) FDTD method based on exponential evolution operator scheme. The proposed method has the new splitting forms along the x, y and z coordinate directions to reduce computational complexity and the second-order accuracy in both time and space. In the application of a cavity, the proposed method produces 35% reduction of the run time than the split-step (SS)-FDTD (2, 2) method.\",\"PeriodicalId\":315133,\"journal\":{\"name\":\"2008 International Conference on Microwave and Millimeter Wave Technology\",\"volume\":\"64 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 International Conference on Microwave and Millimeter Wave Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMMT.2008.4540338\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 International Conference on Microwave and Millimeter Wave Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMMT.2008.4540338","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An unconditionally-stable FDTD method based on split-step scheme for solving three-dimensional maxwell equations
A new split-step finite-difference time-domain (FDTD) method for solving three-dimensional Maxwell's equations is presented, which is proven to be unconditionally-stable and has simpler procedure formulation than the operator splitting (OS) FDTD method based on exponential evolution operator scheme. The proposed method has the new splitting forms along the x, y and z coordinate directions to reduce computational complexity and the second-order accuracy in both time and space. In the application of a cavity, the proposed method produces 35% reduction of the run time than the split-step (SS)-FDTD (2, 2) method.