{"title":"求解e偏振平面波经理想导电周期表面衍射问题的两种数值方法的比较","authors":"V.A. Korneyev, A.G. Mikheyev, E.Yu. Rabotnova, A.S. Shamayev","doi":"10.1016/0041-5553(90)90188-X","DOIUrl":null,"url":null,"abstract":"<div><p>The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in <em>L</em><sub>2</sub>[0,2<em>π</em>] and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 41-46"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90188-X","citationCount":"0","resultStr":"{\"title\":\"Comparison of two-numerical methods for solving the problem of the diffraction of an E-polarized plane wave by an ideally conducting periodic surface\",\"authors\":\"V.A. Korneyev, A.G. Mikheyev, E.Yu. Rabotnova, A.S. Shamayev\",\"doi\":\"10.1016/0041-5553(90)90188-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in <em>L</em><sub>2</sub>[0,2<em>π</em>] and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 3\",\"pages\":\"Pages 41-46\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90188-X\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090188X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090188X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparison of two-numerical methods for solving the problem of the diffraction of an E-polarized plane wave by an ideally conducting periodic surface
The method of collocation and the “integral equation” method, which is based on the use of the fast Fourier transform, are compared. The two algorithms are described and the results of numerical calculations of the surface currents and amplitudes of the non-decaying reflected plane waves obtained by the two methods are presented. Tables of the energy defects, the normalized difference of the solutions in L2[0,2π] and the times required to carry out calculations on a ES-1055 digital computer are given. The operation of the two algorithms is analysed.
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