Resonance and Double Negative Behavior in Metamaterials

Details Resonance and Double Negative Behavior in Metamaterials Resonance and Double Negative Behavior in Metamaterials

2011-11-15

arxiv.org/abs/1111.3586v2

Mathematics

Analysis of PDEs

correction of typographical errors in section 2

Scientific paper

A generic class of metamaterials is introduced and is shown to exhibit frequency dependent double negative effective properties. We develop a rigorous method for calculating the frequency intervals where either double negative or double positive effective properties appear and show how these intervals imply the existence of propagating Bloch waves inside sub-wavelength structures. The branches of the dispersion relation associated with Bloch modes are shown to be explicitly determined by the Dirichlet spectrum of the high dielectric phase and the generalized electrostatic spectra of the complement.

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