Effective Dielectric Response of Metamaterials

Abstract

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.

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

References in corpus (5)

• Negative Index of Refraction in Optical Metamaterials
• Transmission resonances on metallic gratings with very narrow slits
• Nanofabricated media with negative permeability at visible frequencies
• On the transmission of light through a single rectangular hole
• Negative Refractive Index in Optics of Metal-Dielectric Composites

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• Tailored Optical Polarization in Nano-Structured Metamaterials
• Effective non-retarded method as a tool for the design of tunable nanoparticle composite absorbers
• Keller's Theorem Revisited
• Separable metamaterials: analytical ab-initio homogenization and chirality