A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS

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	A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS
	Zhang Ruming 1; Zhang Bo2
刊名	Journal of Computational Mathematics
	2018
卷号	36 期号:1 页码:110
ISSN号	0254-9409
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.
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34039]
专题	应用数学研究所
作者单位	1.不来梅大学 2.中国科学院数学与系统科学研究院
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.
APA	Zhang Ruming,&Zhang Bo.(2018).A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS.Journal of Computational Mathematics,36(1),110.
MLA	Zhang Ruming,et al."A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS".Journal of Computational Mathematics 36.1(2018):110.