# Effective Dielectric Response of Metamaterials - Condensed Matter > Materials Science

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Abstract: We use a homogenization procedure for Maxwell-s equations in order to obtainin the local limit the frequency $\omega$ dependent macroscopic dielectricresponse $\epsilon^M\omega$ of metamaterials made of natural constituentswith any geometrical shape repeated periodically with any structure. Weillustrate the formalism calculating $\epsilon^M\omega$ for severalstructures. For dielectric rectangular inclusions within a conducting materialwe obtained a very anisotropic response which changes along one direction fromconductor-like at low $\omega$ to a resonant dielectric-like at large $\omega$,attaining a very small reflectance at intermediate frequencies unrelated tosurface plasmon excitation and which can be tuned through geometrycaltayloring. A similar behavior is obtained for other shapes close to thepercolation threshold.

Autor: Guillermo P. Ortiz, Brenda E. Martínez-Zérega, Bernardo S. Mendoza, W. Luis Mochán

Fuente: https://arxiv.org/