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Homogenization of the Maxwell Equations: Case I. Linear Theory

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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.

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Authors and Affiliations

  1. Defence Research Establishment (FOA), Department of Microwave Technology, P.O. Box 1165, SE-581 11, Linkoping, Sweden

    Niklas Wellander

  2. Department of Mathematics, Lulea University of Technology, SE-971 87, Lulea, Sweden

    Niklas Wellander

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  1. Niklas Wellander
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Wellander, N. Homogenization of the Maxwell Equations: Case I. Linear Theory. Applications of Mathematics 46, 29–51 (2001). https://doi.org/10.1023/A:1013727504393

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