INTEGRAL EQUATIONS FOR CONICAL DIFFRACTION BY COATED GRATING

被引：8
|
作者：
Schmidt, G. [1 ]
机构：
[1] Weierstrass Inst Appl Math & Stochast, D-10117 Berlin, Germany
来源：
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2011年 / 23卷 / 01期
关键词：
DOMAINS;
D O I：
10.1216/JIE-2011-23-1-71
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to integral formulations for the scattering of plane waves by diffraction gratings under oblique incidence. For the case of coated gratings Maxwell's equations can be reduced to a system of four singular integral equations on the piecewise smooth interfaces between different materials. We study analytic properties of the integral operators for periodic diffraction problems and obtain existence and uniqueness results for solutions of the systems corresponding to electromagnetic fields with locally finite energy.
引用
收藏
页码：71 / 112
页数：42
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