Homogenization of the Maxwell Equations: Case I. Linear Theory
Authors:
Niklas Wellander
Affiliation:
(1) Defence Research Establishment (FOA), Department of Microwave Technology, P.O. Box 1165, SE-581 11 Linkoping, Sweden;(2) Department of Mathematics, Lulea University of Technology, SE-971 87 Lulea, Sweden
Abstract:
The Maxwell equations in a heterogeneous medium are studied. Nguetseng's method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved.