A convergence proof for dynamic homogenization

Authors

Alain Bossavit

Synopsis

We justify, by an asymptotic analysis, an homogenization method which applies to the Maxwell system of equations in the harmonic case at angular frequency. The method yields effective coefficients by solving the Maxwell system on a fundamental domain of the crystal-like metamaterial of interest, with appropriate periodic boundary conditions. The case of all-dielectric materials, with strong contrast, is especially addressed.

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