{"title":"TM波在充满非线性各向异性介质的屏蔽介质波导中的传播","authors":"S. Tikhov, D. Valovik","doi":"10.1109/DD49902.2020.9274602","DOIUrl":null,"url":null,"abstract":"An eigenvalue problem that describes propagation of TM waves in a shielded dielectric layer filled with nonlinear anisotropic medium is studied. The non-linearity is of Kerr type and is characterized by two non-negative parameters α and β. It is proved that the considered problem has infinitely many eigenvalues for α > 0 and β ⩾ 0 and only a finite number of eigenvalues if α = 0 and β > 0.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"260 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation of TM waves in a shielded dielectric waveguide filled with nonlinear anisotropic medium\",\"authors\":\"S. Tikhov, D. Valovik\",\"doi\":\"10.1109/DD49902.2020.9274602\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An eigenvalue problem that describes propagation of TM waves in a shielded dielectric layer filled with nonlinear anisotropic medium is studied. The non-linearity is of Kerr type and is characterized by two non-negative parameters α and β. It is proved that the considered problem has infinitely many eigenvalues for α > 0 and β ⩾ 0 and only a finite number of eigenvalues if α = 0 and β > 0.\",\"PeriodicalId\":133126,\"journal\":{\"name\":\"2020 Days on Diffraction (DD)\",\"volume\":\"260 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD49902.2020.9274602\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD49902.2020.9274602","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Propagation of TM waves in a shielded dielectric waveguide filled with nonlinear anisotropic medium
An eigenvalue problem that describes propagation of TM waves in a shielded dielectric layer filled with nonlinear anisotropic medium is studied. The non-linearity is of Kerr type and is characterized by two non-negative parameters α and β. It is proved that the considered problem has infinitely many eigenvalues for α > 0 and β ⩾ 0 and only a finite number of eigenvalues if α = 0 and β > 0.