{"title":"用小阻抗粒子求解电磁波散射问题的新方法","authors":"M. Andriychuk","doi":"10.1109/DIPED.2015.7324244","DOIUrl":null,"url":null,"abstract":"The problem of electromagnetic (EM) wave scattering on the small particle is reduced to solving the Fredholm integral equation of the second kind. Integral representation of solution to the scattering problem implies in determination of some unknown function which contains in integrand of this equation. The respective linear algebraic system (LAS) for the components of this unknown vector function is derived and solved by the successive approximation method. The region of convergence of the proposed method is substantiated.","PeriodicalId":437134,"journal":{"name":"2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New solution to electromagnetic wave scattering problem by small impedance particle\",\"authors\":\"M. Andriychuk\",\"doi\":\"10.1109/DIPED.2015.7324244\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of electromagnetic (EM) wave scattering on the small particle is reduced to solving the Fredholm integral equation of the second kind. Integral representation of solution to the scattering problem implies in determination of some unknown function which contains in integrand of this equation. The respective linear algebraic system (LAS) for the components of this unknown vector function is derived and solved by the successive approximation method. The region of convergence of the proposed method is substantiated.\",\"PeriodicalId\":437134,\"journal\":{\"name\":\"2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2015.7324244\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2015.7324244","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New solution to electromagnetic wave scattering problem by small impedance particle
The problem of electromagnetic (EM) wave scattering on the small particle is reduced to solving the Fredholm integral equation of the second kind. Integral representation of solution to the scattering problem implies in determination of some unknown function which contains in integrand of this equation. The respective linear algebraic system (LAS) for the components of this unknown vector function is derived and solved by the successive approximation method. The region of convergence of the proposed method is substantiated.