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arXiv · 1703.05518

Effective Maxwell's equations in general periodic microstructures

Ben Schweizer·Maik Urban
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Abstract

We study the time harmonic Maxwell equations in a meta-material consisting of perfect conductors and void space. The meta-material is assumed to be periodic with period $η> 0$; we study the behaviour of solutions $(E^η, H^η)$ in the limit $η\to 0$ and derive an effective system. In geometries with a non-trivial topology, the limit system implies that certain components of the effective fields vanish. We identify the corresponding effective system and can predict, from topological properties of the meta-material, whether or not it permits the propagation of waves.

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Ben Schweizer, Maik Urban. 2017-03-16. Effective Maxwell's equations in general periodic microstructures. https://arxiv.org/abs/1703.05518

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