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Effective Dielectric Response of Metamaterials
We use a homogenization procedure for Maxwell's equations in order to obtain
in the local limit the frequency () dependent macroscopic dielectric
response of metamaterials made of natural constituents
with any geometrical shape repeated periodically with any structure. We
illustrate the formalism calculating 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 to a resonant dielectric-like at large ,
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.Comment: 16 pages 7 figures. Accepted in Phys. Rev. B (2009-06-08