Dispersivity of Balanced Near-Zero Permittivity and Permeability (EMNZ) Medium

Abstract

$\epsilon $ -near-zero (ENZ), $\mu $ -near-zero (MNZ), and $\epsilon $ -and- $\mu $ -near-zero (EMNZ) materials all exhibit the property of $n=\sqrt {\epsilon _{r}\mu _{r}}\approx 0$ . The wave impedance $Z=({\mu /{\epsilon }})^{1/2}$ , though, is different for the different materials. For the EMNZ, the impedance can remain finite, in contrast to the ENZ and MNZ materials. Therefore, the electric and magnetic fields within the EMNZ can remain coupled, unlike the ENZ and MNZ. This paper presents an analysis of dispersivity in an EMNZ layer under the condition of balance $\mu _{r}=\epsilon _{r}$ . One possible application for this condition is seen in the analysis of transmission and reflection from an EMNZ–free space interface, which reveals that a perfect match condition is possible for normal incidence, while for any other incidence angle, this interface is a perfect reflector.