A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS

doi:10.4208/jcm.1612-m2016-0501

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	A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS
	Zhang, Ruming 1; Zhang, Bo2,3,4
	2018
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	36 期号:1 页码:110-127
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.
关键词	Scattering problem Transmission condition Periodic interface Diffraction gratings Boundary integral equations Helmholtz equation
DOI	10.4208/jcm.1612-m2016-0501
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000427554000008
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29898
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.