Graphene epsilon-near-zero plasmonic crystals

Abstract

Plasmonic crystals are a class of optical metamaterials that consist of engineered structures at the sub-wavelength scale. They exhibit optical properties that are not found under normal circumstances in nature, such as negative-refractive-index and epsilon-near-zero (ENZ) behavior. Graphene-based plasmonic crystals present linear, elliptical, or hyperbolic dispersion relations that exhibit ENZ behavior, normal or negative-index diffraction. The optical properties can be dynamically tuned by controlling the operating frequency and the doping level of graphene. We propose a construction approach to expand the frequency range of the ENZ behavior. We demonstrate how the combination of a host material with an optical Lorentzian response in combination with a graphene conductivity that follows a Drude model leads to an ENZ condition spanning a large frequency range.

Graphene coated dielectric resonator antenna for modeling the photoreceptors at visible spectrum

“…Graphene-based plasmonic crystals present linear, elliptical, or hyperbolic dispersion relations that exhibit epsilon near zero (ENZ) behavior, normal or negative-index diffraction. The optical properties can be dynamically tuned by controlling the operating frequency and the doping level of graphene [20] .…”

Finite-size effects in wave transmission through plasmonic crystals: A tale of two scales

“…Our work can be considered as an extension of previous studies that focused on the "epsilon-near-zero" (ENZ) condition in plasmonic heterostructures; see, e.g., [14,17,30,[32][33][34][35][36]. One should recall that if the ENZ condition holds, it is theoretically possible for a wave to propagate along a specified direction of the crystal with almost no refraction at certain frequencies.…”

“…VI A). In seeking a connection of our computations to previous studies in plasmonic crystals [14,17,30,[32][33][34][35][36], we analytically determine the behavior of the homogenized Fresnel coefficients for a plasmonic slab in the parameter regime where the ENZ condition is satisfied. In particular, we show how dissipation in the 2D material affects the homogenized result for wave transmission in this regime.…”