Effective impedance modeling of metamaterial structures

Abstract

We present methods for retrieving the effective impedance of metamaterials from the Fresnel reflection coefficients at the interface between two semi-infinite media. The derivation involves the projection of modal expansions onto the dominant modes of the two semi-infinite media. It is shown that a number of effective impedance formulas, previously obtained by field averaging techniques, can also be derived from the scattering-based formalism, by an appropriate choice of projection.