{"title":"Laterally coupled waveguides with Neumann boundary condition: formal asymptotic expansions","authors":"L.V. Gortinskaya, I. Popov, E.S. Tesovskaya","doi":"10.1109/DD.2003.238132","DOIUrl":null,"url":null,"abstract":"We consider the resonance effects in quantum waveguides and layers with Neumann boundary conditions coupled through small windows. Asymptotics of the resonances (quasi eigenvalues) are obtained. Also the scattering problems for the cases of one and two coupling windows are considered.","PeriodicalId":332604,"journal":{"name":"International Seminar Day on Diffraction, 2003. Proceedings.","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2003.238132","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the resonance effects in quantum waveguides and layers with Neumann boundary conditions coupled through small windows. Asymptotics of the resonances (quasi eigenvalues) are obtained. Also the scattering problems for the cases of one and two coupling windows are considered.