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This paper aims to study the magneto-plasmons in an anisotropic graphenenano-waveguide with bigyrotropic cover and substrate. The substrate is backedby a perfect electromagnetic conductor (PEMC) layer, a general and idealboundary, which can be transformed easily into the perfect electric conductor(PEC) or the perfect magnetic conductor (PMC) boundaries. The upper and bottomlayers of the graphene sheet are made of different magnetic materials. Theexternal magnetic field is applied perpendicularly to the structure surface,which can be provided by a permanent magnet placed underneath the ground plane.Hence, the graphene sheet has anisotropic conductivity tensor. A novelanalytical model has been proposed for the general nano-waveguide to find itspropagation properties. As special cases of the proposed general structure, twoimportant new waveguides have been introduced and studied to show, first therichness of the proposed general nano-waveguide regarding the related specificplasmonic wave phenomena and effects, and second the validity and the highaccuracy of the proposed model. The analytical and the simulation results arein an excellent agreement. It is shown that the modal properties of theproposed structure can be tuned effectively via the external magnetic field andthe chemical potential of the graphene. Harnessing the non-reciprocity effectof anisotropic materials and the graphene sheet, the presented analytical modelcan be exploited to design tunable innovative devices in THz frequencies.

Magneto-Plasmons in Grounded Graphene-Based Structures with Anisotropic Cover and Substrate