{"title":"The Essential Modes of the Electromagnetic Scattering Operator","authors":"N. Budko, A. Samokhin","doi":"10.1109/ICEAA.2007.4387459","DOIUrl":null,"url":null,"abstract":"Previously we have shown that apart from discrete spectrum (eigenvalues), the three-dimensional volume integral operator of electromagnetic scattering has a continuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonance.","PeriodicalId":273595,"journal":{"name":"2007 International Conference on Electromagnetics in Advanced Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Conference on Electromagnetics in Advanced Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2007.4387459","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
Previously we have shown that apart from discrete spectrum (eigenvalues), the three-dimensional volume integral operator of electromagnetic scattering has a continuous essential spectrum as well. Here we derive the corresponding essential modes. We use the Weyl definition of essential spectrum, where such modes are described in terms of singular sequences. A closed form expression for the required sequence is obtained and its properties are analyzed. We also discuss the physical meaning and the conditions on the excitation of the essential resonance.
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