A NEW INTEGRAL EQUATION FORMULATION FOR SCATTERING BY PENETRABLE DIFFRACTION GRATINGS

被引：0
|
作者：
Zhang, Ruming [1 ]
Zhang, Bo [2 ,3 ,4 ]
机构：
[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
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2018年 / 36卷 / 01期
关键词：
Scattering problem; Transmission condition; Periodic interface; Diffraction gratings; Boundary integral equations; Helmholtz equation; ROUGH SURFACES; PERIODIC STRUCTURES; INVERSE PROBLEM; UNIQUENESS;
D O I：
10.4208/jcm.1612-m2016-0501
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：110 / 127
页数：18
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