Despite the fact that metal is the most common conducting constituent element in the fabrication of metamaterials, one of the advantages of graphene over metal is that its conductivity can be controlled by the Fermi energy. Here, we theoretically investigate multilayer structures comprising alternating graphene and dielectric layers as a class of hyperbolic metamaterials for THz frequencies based on a general simple model of the graphene and the dielectric layers. By employing a method of matching the tangential components of the electrical and magnetic fields, we derive the relevant dispersion relations and demonstrate that tuning can be achieved by modifying the Fermi energy. Moreover, tunability of the graphene-dielectric heterostructures can be enhanced further by changing either the thickness of the dielectric layers or the number of graphene sheets employed. Calculated dispersion relations, propagation lengths of plasmon modes in the system are presented. This allows us to characterize and categorize the modes into two groups: FerrelBerreman modes and surface plasmon polaritons. 85-90 (1985). 498-512 (1967). 39. A. McAlister and E. Stern, "Plasma resonance absorption in thin metal films," Phys.
The rigorous modeling and analysis of surface waves at the boundary of two metamaterials are presented. The nature of the phenomenon of the surface-plasmon-polaritons and the influence of various parameters on it are investigated. We have analyzed the properties of structures incorporating nanostructured metamaterials. Surface-plasmon-polaritons at the interface of such metamaterials are studied. We demonstrate the ways to control the properties of the surface waves. Each metamaterial comprises alternating metal and dielectric layers. We analyze the dependence of the dispersion characteristics on the materials employed in metal-dielectric compound. The consistency of the dispersion diagrams and effective permittivity is studied. The Drude model is introduced in the metal dispersion in order to take into account the effects of the structure on dielectric properties.
The properties of surface-plasmon-polaritons (SPPs) at the interface of two nanowire metamaterials are investigated theoretically. Calculated dispersion relations and propagation lengths are presented. It is demonstrated that the SPPs can be tuned by controlling the metamaterial design. Tunability of these structures can be enhanced further by increasing the pore diameter, which leads the shift of the surface modes to higher frequencies. We specifically consider two different cases with the composite nanowire metamaterial stack composed of the same type of metamaterial in each layer as well as the case of a nanowire metamaterial stack with different materials in each metamaterial layer.
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