ABSTRACT

In the literature the term “dynamic homogenization of metamaterials” (MM) is often allegedly referred to as the heuristic electromagnetic characterization of a MM slab treated as a uniform bulk medium. The analysis of the literature data for MMs performed as p-m lattices has shown: on the level of retrieved refractive index and characteristic impedance, the violation of Kramers-Kronig relations even in the resonance frequency range is a rare exception. The finite-thickness transition layers can be successfully squeezed to sheets of the electric and magnetic surface currents. In other words, the jumps in the volumetrically averaged tangential electric and magnetic fields on either side of the interface between a MM and air are mimicked by equivalent metasurfaces located at the interfaces. Metasurface is a 2D MM, a planar analogue of a volumetric MM. A commonly recognized homogenization model of a metasurface is based on so-called generalized sheet transition conditions.