Resonances for Maxwell's equations in a periodic structure

被引：4

作者：

Ammari, H ^{[1
]}

Béreux, N ^{[1
]}

Nédélec, JC ^{[1
]}

机构：

[1] Ecole Polytech, CNRS, Ctr Math Appl, UMR 7641, F-91128 Palaiseau, France

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2000年 / 17卷 / 02期

关键词：

integral operators; singular integral equation; Maxwell equations; resonances; integrals of Cauchy type; the Hilbert inversion formulae; characteristic numbers; generalized Rouche's theorem;

D O I：

10.1007/BF03167342

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and the distribution of the resonances associated to the Maxwell system in a periodic infinite structure. By boundary integral operators method, we reduce our problem to the existence and distribution of the characteristic values of a family of periodic non-self adjoint integral operators. The distribution of resonances is completely shown and an algorithm to compute them is proposed.

引用

页码：149 / 198

页数：50

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