{"title":"色散波动方程的通解及其在传播中的应用","authors":"J.E. Gray, S. R. Addison","doi":"10.1109/SSST.2004.1295707","DOIUrl":null,"url":null,"abstract":"The treatment of propagation in a linear dispersive medium is a problem that is outlined in many electromagnetic texts which consider the continuous time case. These texts don't deal with initial value problems, but instead refer to Stratton for a complete treatment of the problem. Stratton uses both the Fourier transform and the Laplace transform to solve the initial value problems. The usage of both methods can cause both mathematical and conceptual problems.","PeriodicalId":309617,"journal":{"name":"Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"General solution to dispersive wave equation and its application to propagation\",\"authors\":\"J.E. Gray, S. R. Addison\",\"doi\":\"10.1109/SSST.2004.1295707\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The treatment of propagation in a linear dispersive medium is a problem that is outlined in many electromagnetic texts which consider the continuous time case. These texts don't deal with initial value problems, but instead refer to Stratton for a complete treatment of the problem. Stratton uses both the Fourier transform and the Laplace transform to solve the initial value problems. The usage of both methods can cause both mathematical and conceptual problems.\",\"PeriodicalId\":309617,\"journal\":{\"name\":\"Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.2004.1295707\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.2004.1295707","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General solution to dispersive wave equation and its application to propagation
The treatment of propagation in a linear dispersive medium is a problem that is outlined in many electromagnetic texts which consider the continuous time case. These texts don't deal with initial value problems, but instead refer to Stratton for a complete treatment of the problem. Stratton uses both the Fourier transform and the Laplace transform to solve the initial value problems. The usage of both methods can cause both mathematical and conceptual problems.
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