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arXiv · 0901.3549

Effective Dielectric Response of Metamaterials

Guillermo P. Ortiz·Brenda E. Martínez-Zérega·Bernardo S. Mendoza·W. Luis Mochán
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Abstract

We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency ($ω$) dependent macroscopic dielectric response $ε^M(ω)$ of metamaterials made of natural constituents with any geometrical shape repeated periodically with any structure. We illustrate the formalism calculating $ε^M(ω)$ for several structures. For dielectric rectangular inclusions within a conducting material we obtained a very anisotropic response which changes along one direction from conductor-like at low $ω$ to a resonant dielectric-like at large $ω$, attaining a very small reflectance at intermediate frequencies unrelated to surface plasmon excitation and which can be tuned through geometrycal tayloring. A similar behavior is obtained for other shapes close to the percolation threshold.

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BibTeXRIS

Guillermo P. Ortiz, Brenda E. Martínez-Zérega, Bernardo S. Mendoza, W. Luis Mochán. 2009-06-18. Effective Dielectric Response of Metamaterials. https://doi.org/10.1103/physrevb.79.245132

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