{"title":"矩形波导中主导模的简并性","authors":"T. Mealy, Ahmed F. Abdelshafy, F. Capolino","doi":"10.23919/USNC-URSI-NRSM.2019.8712950","DOIUrl":null,"url":null,"abstract":"We explore the exceptional point of degeneracy (EPD) at the cutoff of the dominant mode in a uniform rectangular waveguide. We show that the system matrix describing the wave propagation is similar to a Jordan matrix, and we look at the field at the degeneracy point that exhibits algebraic growth along the waveguide as a result of the Jordan matrix description. Field expressions for the dominant mode are derived at the EPD. A numerical example is used to show the degeneracy and its associated field behavior.","PeriodicalId":142320,"journal":{"name":"2019 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"The Degeneracy of the Dominant Mode in Rectangular Waveguide\",\"authors\":\"T. Mealy, Ahmed F. Abdelshafy, F. Capolino\",\"doi\":\"10.23919/USNC-URSI-NRSM.2019.8712950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We explore the exceptional point of degeneracy (EPD) at the cutoff of the dominant mode in a uniform rectangular waveguide. We show that the system matrix describing the wave propagation is similar to a Jordan matrix, and we look at the field at the degeneracy point that exhibits algebraic growth along the waveguide as a result of the Jordan matrix description. Field expressions for the dominant mode are derived at the EPD. A numerical example is used to show the degeneracy and its associated field behavior.\",\"PeriodicalId\":142320,\"journal\":{\"name\":\"2019 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/USNC-URSI-NRSM.2019.8712950\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/USNC-URSI-NRSM.2019.8712950","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Degeneracy of the Dominant Mode in Rectangular Waveguide
We explore the exceptional point of degeneracy (EPD) at the cutoff of the dominant mode in a uniform rectangular waveguide. We show that the system matrix describing the wave propagation is similar to a Jordan matrix, and we look at the field at the degeneracy point that exhibits algebraic growth along the waveguide as a result of the Jordan matrix description. Field expressions for the dominant mode are derived at the EPD. A numerical example is used to show the degeneracy and its associated field behavior.
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