Anisotropic Multi-layer Cylindrical Structures Containing Graphene Layers: An Analytical Approach

We propose a novel analytical model for anisotropic multi-layer cylindrical structures containing graphene layers. The general structure is formed by an aperiodic repetition of a three-layer sub-structure, where a graphene layer, with an isotropic surface conductivity, has been sandwiched between two adjacent magnetic materials. An external magnetic bias has been applied in the axial direction. General matrix representation is obtained in our proposed analytical model to find the dispersion relation. The relation will be used to find the effective index of the structure and its other propagation parameters. Two special exemplary structures have been introduced and studied to show the richness of the proposed general structure regarding the related specific plasmonic wave phenomena and effects. A series of simulations have been conducted to demonstrate the noticeable wave-guiding properties of the structure in the 10-40 THz band. A very good agreement between the analytical and simulation results is observed. The proposed structure can be utilized to design novel plasmonic devices such as absorbers, modulators, plasmonic sensors and tunable antennas in the THz frequencies.