{"title":"一维周期结构三维格林函数的计算","authors":"Andrey S. Zadorozhnyy, S. Skobelev","doi":"10.1109/ENT.2016.040","DOIUrl":null,"url":null,"abstract":"A new representation of the 3D Green's function for 1D periodic structures is obtained on the basis of the Kummer's method and Poisson summation formula with using an auxiliary series containing pairs of complex-conjugated distances between point sources and observation point. The new representation consists of a difference series the terms of which decay as n in the power of –3 with increase of n, and a series converging exponentially. Convenience of the new representation in comparison with other known representations is shown. Some results concerning optimization of a parameter involved in the new representation are presented and discussed.","PeriodicalId":356690,"journal":{"name":"2016 International Conference on Engineering and Telecommunication (EnT)","volume":"584 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On Calculation of the 3D Green's Function for 1D Periodic Structures\",\"authors\":\"Andrey S. Zadorozhnyy, S. Skobelev\",\"doi\":\"10.1109/ENT.2016.040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new representation of the 3D Green's function for 1D periodic structures is obtained on the basis of the Kummer's method and Poisson summation formula with using an auxiliary series containing pairs of complex-conjugated distances between point sources and observation point. The new representation consists of a difference series the terms of which decay as n in the power of –3 with increase of n, and a series converging exponentially. Convenience of the new representation in comparison with other known representations is shown. Some results concerning optimization of a parameter involved in the new representation are presented and discussed.\",\"PeriodicalId\":356690,\"journal\":{\"name\":\"2016 International Conference on Engineering and Telecommunication (EnT)\",\"volume\":\"584 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 International Conference on Engineering and Telecommunication (EnT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ENT.2016.040\",\"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 Engineering and Telecommunication (EnT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ENT.2016.040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Calculation of the 3D Green's Function for 1D Periodic Structures
A new representation of the 3D Green's function for 1D periodic structures is obtained on the basis of the Kummer's method and Poisson summation formula with using an auxiliary series containing pairs of complex-conjugated distances between point sources and observation point. The new representation consists of a difference series the terms of which decay as n in the power of –3 with increase of n, and a series converging exponentially. Convenience of the new representation in comparison with other known representations is shown. Some results concerning optimization of a parameter involved in the new representation are presented and discussed.
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