{"title":"用高阶Kunmer方法高效计算双周期结构的格林函数","authors":"M. Ivanishin, S. Skobelev","doi":"10.1109/MMET.2008.4581058","DOIUrl":null,"url":null,"abstract":"An auxiliary function in the form of standing spherical waves with attenuation is proposed in the Kummerpsilas method for accelerating the convergence of the spectral series representing the Greenpsilas function of doubly periodic structures in free space. Expressions for the amplitude and phase constants of the auxiliary waves versus their attenuation constant are derived, at which the spectral difference series converges in the worst case as the Floquet mode propagation constant in the power of minus 5, 9, and 13 for the cases of using one, two, and three auxiliary waves, respectively.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the efficient computation of the Green’s function for doubly periodic structures by using the Kunmer’s method of higher orders\",\"authors\":\"M. Ivanishin, S. Skobelev\",\"doi\":\"10.1109/MMET.2008.4581058\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An auxiliary function in the form of standing spherical waves with attenuation is proposed in the Kummerpsilas method for accelerating the convergence of the spectral series representing the Greenpsilas function of doubly periodic structures in free space. Expressions for the amplitude and phase constants of the auxiliary waves versus their attenuation constant are derived, at which the spectral difference series converges in the worst case as the Floquet mode propagation constant in the power of minus 5, 9, and 13 for the cases of using one, two, and three auxiliary waves, respectively.\",\"PeriodicalId\":141554,\"journal\":{\"name\":\"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMET.2008.4581058\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2008.4581058","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the efficient computation of the Green’s function for doubly periodic structures by using the Kunmer’s method of higher orders
An auxiliary function in the form of standing spherical waves with attenuation is proposed in the Kummerpsilas method for accelerating the convergence of the spectral series representing the Greenpsilas function of doubly periodic structures in free space. Expressions for the amplitude and phase constants of the auxiliary waves versus their attenuation constant are derived, at which the spectral difference series converges in the worst case as the Floquet mode propagation constant in the power of minus 5, 9, and 13 for the cases of using one, two, and three auxiliary waves, respectively.
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