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AIMS Mathematics, 2017, 2(2): 269-304. doi: 10.3934/Math.2017.2.269. Research article

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

Canot Hélène, Frénod Emmanuel

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

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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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Keywords: 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. AIMS Mathematics, 2017, 2(2): 269-304. doi: 10.3934/Math.2017.2.269

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Copyright Info: © 2017, Canot Héléne, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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