The anisotropic epsilon near zero behaviour of hyperbolic metamaterial in periodic structures and associated transmission characteristics

The hyperbolic metamaterial shows anisotropic epsilon near zero (ENZ) behaviour in different frequency ranges. Here two different periodic structures of hyperbolic metamaterial are investigated theoretically. Periodicity of the structure gives rise to transmission gaps at different frequency ranges around such a behaviour. The characteristics of these gaps are elaborated by transmission plots and their dependence on different parameters of the structure is studied. The intriguing properties of ENZ behaviour combined with transmission gaps in periodic arrangements give rise to interesting phenomena and can be focus of further explorations.