{"title":"无损多导体传输线上tem波的场论描述","authors":"A. Reibiger","doi":"10.1109/SPI.2002.258291","DOIUrl":null,"url":null,"abstract":"We present a proof that an electromagnetic field is a TEM wave on a lossless multiconductor transmission line if and on ly if the a ssociated conductor voltages and currents obey the transmission line equations. A corollary of this result shows that t he flow of the Poynting v ector f ield through a c ross section of such a transmission line is equal to the sum of the products of the conductor voltages and currents. Additionally we give a proof of the relationship LC = eμE between the matrices of inductances and capacitances per length which is based on the theory of holomorphic functions.","PeriodicalId":290013,"journal":{"name":"Proceedings: 6th IEEE Workshop on Signal Propagation on Interconnects","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Field Theoretic Description of TEM-Waves on Lossless Multiconductor Transmission Lines\",\"authors\":\"A. Reibiger\",\"doi\":\"10.1109/SPI.2002.258291\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a proof that an electromagnetic field is a TEM wave on a lossless multiconductor transmission line if and on ly if the a ssociated conductor voltages and currents obey the transmission line equations. A corollary of this result shows that t he flow of the Poynting v ector f ield through a c ross section of such a transmission line is equal to the sum of the products of the conductor voltages and currents. Additionally we give a proof of the relationship LC = eμE between the matrices of inductances and capacitances per length which is based on the theory of holomorphic functions.\",\"PeriodicalId\":290013,\"journal\":{\"name\":\"Proceedings: 6th IEEE Workshop on Signal Propagation on Interconnects\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings: 6th IEEE Workshop on Signal Propagation on Interconnects\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SPI.2002.258291\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings: 6th IEEE Workshop on Signal Propagation on Interconnects","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPI.2002.258291","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Field Theoretic Description of TEM-Waves on Lossless Multiconductor Transmission Lines
We present a proof that an electromagnetic field is a TEM wave on a lossless multiconductor transmission line if and on ly if the a ssociated conductor voltages and currents obey the transmission line equations. A corollary of this result shows that t he flow of the Poynting v ector f ield through a c ross section of such a transmission line is equal to the sum of the products of the conductor voltages and currents. Additionally we give a proof of the relationship LC = eμE between the matrices of inductances and capacitances per length which is based on the theory of holomorphic functions.
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