Abstract

The effect of spatial dispersion on the electromagnetic properties of a metamaterial consisting of a three-dimensional mesh of crossing metallic wires is reported. The effective dielectric permittivity tensor ${ϵ}_{ij}(\omega ,\mathbf{k})$ of the wire mesh is calculated in the limit of small wavenumbers. The procedure for extracting the spatial dispersion from the ω versus k dependence for electromagnetic waves propagating in the bulk of the metamaterial is developed. These propagating modes are identified as similar to the longitudinal (plasmon) and transverse (photon) waves in a plasma. Spatial dispersion is found to have the most dramatic effect on the surface waves that exist at the wire mesh–vacuum interface.

© 2006 Optical Society of America

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