Low frequency behavior of solutions to electromagnetic scattering problems in chiral media

被引:25
作者
Ammari, H [1 ]
Laouadi, M
Nedelec, JC
机构
[1] Ecole Polytech, Ctr Math Appl, CNRS, URA 756, F-91128 Palaiseau, France
[2] Royal Inst Technol, Dept Electromagnet Theory, S-10044 Stockholm, Sweden
关键词
integral equations; chiral media; Drude-Born-Fedorov equations; Maxwell's equations; Fredholm system; low frequency; the Hodge decomposition theorem;
D O I
10.1137/S0036139996310431
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the low frequency scattering problem by a conducting object in a chiral medium. Using boundary integral equation methods, we obtain the limit of the scattered field solution of the Drude-Born-Fedorov equations as frequency tends to zero. Making use of a Hodge decomposition of the tangent fields shows that the asymptotics strongly depend on the topological properties of the domains under consideration. The asymptotic expansion's dependence on the chirality parameter is shown completely.
引用
收藏
页码:1022 / 1042
页数:21
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