Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results
Résumé
The purpose of this article is to study behavior of the electromagnetic field in 3D in and near composite material. For this, time-harmonic Maxwell equations, for a conducting two-phase composite and the air above, are considered. This paper is considered a first part in two parts study. In this part we give the setting of the problem, and we propose a rescaling of time-harmonic Maxwell system. then with a view to the homogenization, we demonstrate the uniqueness and the existence of a solution as well as an estimate.
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