Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations

Canot Hélène; Frénod Emmanuel; Canot Hélène; Frénod Emmanuel

doi:10.3934/Math.2017.2.269

AIMS Mathematics

2017, Volume 2, Issue 2: 269-304. doi: 10.3934/Math.2017.2.269

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Research article

Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations

Canot Hélène ^,,
Frénod Emmanuel

Universite de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France

Received: 10 April 2016 Accepted: 28 March 2017 Published: 04 May 2017

The main purpose of this article is to study the two-scale 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. Technique of two-scale convergence is used to obtain the homogenized problem.
- Harmonic Maxwell Equations,
- Two-scale Convergence,
- Asymptotic Expansion,
- Asymptotic Analysis,
- Electromagnetism,
- Homogenization,
- E ective Behavior,
- Frequencies,
- Composite Material,
- Electromagnetic Pulses
Citation: Canot Hélène, Frénod Emmanuel. Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations[J]. AIMS Mathematics, 2017, 2(2): 269-304. doi: 10.3934/Math.2017.2.269

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Abstract

The main purpose of this article is to study the two-scale 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. Technique of two-scale convergence is used to obtain the homogenized problem.

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