{"title":"电磁散射算子的基本模","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":"{\"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}","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}
The Essential Modes of the Electromagnetic Scattering Operator
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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