Effective Dielectric Response of Metamaterials

Details Effective Dielectric Response of Metamaterials Effective Dielectric Response of Metamaterials

2009-01-22

arxiv.org/abs/0901.3549v2

Phys. Rev. B 79, 245132 (2009)

Physics

Condensed Matter

Materials Science

16 pages 7 figures. Accepted in Phys. Rev. B (2009-06-08)

Scientific paper

10.1103/PhysRevB.79.245132

We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency ($\omega$) dependent macroscopic dielectric response $\epsilon^M(\omega)$ of metamaterials made of natural constituents with any geometrical shape repeated periodically with any structure. We illustrate the formalism calculating $\epsilon^M(\omega)$ 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 $\omega$ to a resonant dielectric-like at large $\omega$, 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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