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Homogenization of the Maxwell Equations: Case I. Linear Theory |
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| Authors: | Niklas Wellander |
| Institution: | (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. |
| Keywords: | Maxwell's equations homogenization two-scale convergence corrector results heterogeneous materials periodic coefficients nonperiodic coefficients compactness result effective properties fiber composites |
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