{"title":"基于积分方程和算子法的石墨烯带状光栅波散射建模","authors":"M. Kaliberda, S. Pogarsky, L. Lytvynenko","doi":"10.1109/MMET.2018.8460262","DOIUrl":null,"url":null,"abstract":"The scattering by graphene multi-layered strip grating is considered. To model the whole structure two different approaches are used and compared. The first one is based on the operator method. Here we obtain system of operator equations which are equivalent to the Fredholm integral equations. The solution of a so-called key problem, the diffraction problem by a single planar graphene grating, is obtained by the method of singular integral equations. The second approach is based entirely on the method of singular integral equations. Frequency dependences of the scattering and absorption coefficients are presented in the THz range.","PeriodicalId":343933,"journal":{"name":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling of Wave Scattering by Graphene Strip Gratings Using Integral Equations Combined with Operator Method\",\"authors\":\"M. Kaliberda, S. Pogarsky, L. Lytvynenko\",\"doi\":\"10.1109/MMET.2018.8460262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The scattering by graphene multi-layered strip grating is considered. To model the whole structure two different approaches are used and compared. The first one is based on the operator method. Here we obtain system of operator equations which are equivalent to the Fredholm integral equations. The solution of a so-called key problem, the diffraction problem by a single planar graphene grating, is obtained by the method of singular integral equations. The second approach is based entirely on the method of singular integral equations. Frequency dependences of the scattering and absorption coefficients are presented in the THz range.\",\"PeriodicalId\":343933,\"journal\":{\"name\":\"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMET.2018.8460262\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2018.8460262","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modeling of Wave Scattering by Graphene Strip Gratings Using Integral Equations Combined with Operator Method
The scattering by graphene multi-layered strip grating is considered. To model the whole structure two different approaches are used and compared. The first one is based on the operator method. Here we obtain system of operator equations which are equivalent to the Fredholm integral equations. The solution of a so-called key problem, the diffraction problem by a single planar graphene grating, is obtained by the method of singular integral equations. The second approach is based entirely on the method of singular integral equations. Frequency dependences of the scattering and absorption coefficients are presented in the THz range.