Strong spatial dispersion in wire media in the very large wavelength limit

作者：Pavel A. Belov, R. Marqués, Stanislav I. Maslovski, Igor S. Nefedov, Mário G. Silveirinha, Constantin R. Simovski, Sergei Tretyakov · 发表于：Physical review. B, Condensed matter · 年份：2003 · DOI：10.1103/physrevb.67.113103 · 被引用次数：658 · 研究领域：Metamaterials and Metasurfaces Applications、Electromagnetic Scattering and Analysis、Advanced Antenna and Metasurface Technologies

It is found that there exist composite media that exhibit strong spatial dispersion even in the very large wavelength limit. This follows from the study of lattices of ideally conducting parallel thin wires (wire media). In fact, our analysis reveals that the 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 any frequencies. Since nonlocal constitutive relations have been usually considered in the past as a second-order approximation, meaningful in the short-wavelength limit, the aforementioned result presents a relevant theoretical interest. In addition, since such wire media have been recently used as a constituent of some discrete artificial media (or metamaterials), the reported results open the question of the relevance of the spatial dispersion in the characterization of these artificial media.