Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results - Archive ouverte HAL Access content directly
Conference Papers Year : 2017

Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results

Abstract

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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Dates and versions

hal-01572329 , version 1 (06-08-2017)

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  • HAL Id : hal-01572329 , version 1

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Helene Canot, Emmanuel Frénod. Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results. World Congress on Engineering 2017, Jul 2017, London, United Kingdom. ⟨hal-01572329⟩
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