Refraction at metamaterial interface in terms of induced phase at resonant frequency

摘要

Phase shift in reflection and transmission coefficients is critical to understand the constitutive effective parameters of metamaterial. In this paper, we study the phase of S_(11) (reflection coefficients) and S_(21) (transmission coefficients) for a plane wave incident normally on a slab of metamaterial. This study can help to predict the resonant frequency band and whether the permittivity, ε_r, is negative or the permeability, μ_r, is negative.