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

Helene Canot (1) , Emmanuel Frénod (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

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.

Mots clés: Composite Material; Harmonic Maxwell Equations; Electromagnetic Pulses; Electromagnetism; Homogenization; Asymptotic Analysis; Asymptotic Expansion; Two-scale Convergence; Effective Behavior; Frequencies

Domaines: Equations aux dérivées partielles [math.AP]

Helene Canot, Emmanuel Frénod. Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations. 2016. ⟨hal-01396740⟩