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A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS

文献类型：期刊论文

作者Zhang, Ruming1; Zhang, Bo2,3,4
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2018
卷号36期号:1页码:110-127
ISSN号0254-9409
关键词Scattering problem Transmission condition Periodic interface Diffraction gratings Boundary integral equations Helmholtz equation
DOI10.4208/jcm.1612-m2016-0501
英文摘要This paper is concerned with the problem of scattering of time-harmonic electromagnetic waves from penetrable diffraction gratings in the 2D polarization case. We propose a new, weakly singular, integral equation formulation for the scattering problem which is proved to be uniquely solvable. A main feature of the new integral equation formulation is that it avoids the computation of the normal derivative of double-layer potentials which is difficult and time consuming. A fast numerical algorithm is also developed for the scattering problem, based on the Nystrom method for the new integral equation. Numerical examples are also shown to illustrate the applicability of the new integral equation formulation.
资助项目NNSF of China[61379093] ; NNSF of China[91430102] ; NNSF of China[11401568] ; NNSF of China[11501558]
WOS研究方向Mathematics
语种英语
出版者GLOBAL SCIENCE PRESS
WOS记录号WOS:000427554000008
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29897]  
专题应用数学研究所
通讯作者Zhang, Ruming
作者单位1.Univ Bremen, Ctr Ind Math, D-28359 Bremen, Germany
2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 10049, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Ruming,Zhang, Bo. A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2018,36(1):110-127.
APA Zhang, Ruming,&Zhang, Bo.(2018).A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS.JOURNAL OF COMPUTATIONAL MATHEMATICS,36(1),110-127.
MLA Zhang, Ruming,et al."A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS".JOURNAL OF COMPUTATIONAL MATHEMATICS 36.1(2018):110-127.

入库方式： OAI收割

来源：数学与系统科学研究院

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