Strong spatial dispersion in wire media in the very large wavelength limit
We have found that the wire medium (array of long conducting cylinders), one of the component of the famous realization of Veselago media, exhibits strong spatial dispersion even in the very large wavelength limit. Our analysis reveals that the conventional description of this medium by means of a local dispersive uniaxial dielectric tensor is not complete, leading to unphysical results for the propagation of electromagnetic waves at all frequencies. Since non-local constitutive relations have been usually considered in physics as a second-order approximation, meaningful in the short wavelength limit, the aforementioned result is important in a much more general sense for the theory of electromagnetic materials.