{"title":"一种多层格林函数插值方法在三维空间中高效构造二维周期PEC结构的EFIE MoM-matrix","authors":"P. Joma, V. Lancellotti, M. V. van Beurden","doi":"10.1109/ICEAA.2016.7731457","DOIUrl":null,"url":null,"abstract":"For scattering by perfectly conducting objects in a two-dimensionally periodic setup we employ a surface-integral equation, the Ewald representation of the Green function, and the Method of Moments (MoM). For moderate-size matrices, we observe that the computation time is dominated by the computation of the matrix elements. By employing a multi-level decomposition of the Green function based on Lagrange interpolation on a Chebyshev grid, we demonstrate that the overall computation time can be reduced by 73% compared to the original MoM computation.","PeriodicalId":434972,"journal":{"name":"2016 International Conference on Electromagnetics in Advanced Applications (ICEAA)","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A multilevel green function interpolation method to efficiently construct the EFIE MoM-matrix for 2D-periodic PEC structures in 3D space\",\"authors\":\"P. Joma, V. Lancellotti, M. V. van Beurden\",\"doi\":\"10.1109/ICEAA.2016.7731457\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For scattering by perfectly conducting objects in a two-dimensionally periodic setup we employ a surface-integral equation, the Ewald representation of the Green function, and the Method of Moments (MoM). For moderate-size matrices, we observe that the computation time is dominated by the computation of the matrix elements. By employing a multi-level decomposition of the Green function based on Lagrange interpolation on a Chebyshev grid, we demonstrate that the overall computation time can be reduced by 73% compared to the original MoM computation.\",\"PeriodicalId\":434972,\"journal\":{\"name\":\"2016 International Conference on Electromagnetics in Advanced Applications (ICEAA)\",\"volume\":\"66 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 International Conference on Electromagnetics in Advanced Applications (ICEAA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEAA.2016.7731457\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 International Conference on Electromagnetics in Advanced Applications (ICEAA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2016.7731457","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A multilevel green function interpolation method to efficiently construct the EFIE MoM-matrix for 2D-periodic PEC structures in 3D space
For scattering by perfectly conducting objects in a two-dimensionally periodic setup we employ a surface-integral equation, the Ewald representation of the Green function, and the Method of Moments (MoM). For moderate-size matrices, we observe that the computation time is dominated by the computation of the matrix elements. By employing a multi-level decomposition of the Green function based on Lagrange interpolation on a Chebyshev grid, we demonstrate that the overall computation time can be reduced by 73% compared to the original MoM computation.