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Pré-Publication, Document De Travail Année : 2018

Electromagnetic shielding by thin periodic structures and the Faraday cage effect

David P. Hewett
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Résumé

In this note we consider the scattering of electromagnetic waves (governed by the time-harmonic Maxwell equations) by a thin periodic layer of perfectly conducting obstacles. The size of the obstacles and the distance between neighbouring obstacles are of the same small order of magnitude $\delta$. By deriving homogenized interface conditions for three model configurations, namely (i) discrete obstacles, (ii) parallel wires, (iii) a wire mesh, we show that the limiting behaviour as $\delta\to0$ depends strongly on the topology of the periodic layer, with full shielding (the so-called ``Faraday cage effect'') occurring only in the case of a wire mesh.
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hal-01821827 , version 1 (22-06-2018)

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Bérangère Delourme, David P. Hewett. Electromagnetic shielding by thin periodic structures and the Faraday cage effect. 2018. ⟨hal-01821827⟩
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