The electromagnetic scattering problem with generalized impedance boundary conditions
Chaulet, Nicolas1
1 Department of Mathematics, University College London, Gower street, London, WC1E 6BT, UK
ESAIM: Mathematical Modelling and Numerical Analysis , Special Issue – Polyhedral discretization for PDE, Tome 50 (2016) no. 3, pp. 905-920.

In this paper we consider the electromagnetic scattering problem by an obstacle characterised by a Generalized Impedance Boundary Condition in the harmonic regime. These boundary conditions are well known to provide accurate models for thin layers or imperfectly conducting bodies. We give two different formulations of the scattering problem and we provide some general assumptions on the boundary condition under which the scattering problem has at most one solution. We also prove that it is well-posed for three different boundary conditions which involve second order surface differential operators under weak sign assumptions on the coefficients defining the surface operators.

Reçu le :
DOI : 10.1051/m2an/2014064
Classification : 35P25, 35G05, 35Q61, 78A45
Mots-clés : Maxwell’s equations, generalized impedance boundary conditions, electromagnetic scattering, Helmholtz’ decomposition
Chaulet, Nicolas 1

1 Department of Mathematics, University College London, Gower street, London, WC1E 6BT, UK 
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Chaulet, Nicolas. The electromagnetic scattering problem with generalized impedance boundary conditions. ESAIM: Mathematical Modelling and Numerical Analysis , Special Issue – Polyhedral discretization for PDE, Tome 50 (2016) no. 3, pp. 905-920. doi : 10.1051/m2an/2014064. http://www.numdam.org/articles/10.1051/m2an/2014064/

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