Abstract
Graphene is one of the most popular 2-D-like materials, whose properties have been thoroughly studied by the scientific community. Its conductivity is complex, frequency-dependent, and anisotropic when a magnetic bias is present. In this letter, we propose an ad-hoc 2-D finite element method (FEM) formulation that allows for the modal computation of enclosed waveguides containing arbitrary surfaces made of this novel material with or without magnetic bias. The tailored formulation takes advantage of 2-D mixed elements for approximating the vectorial electric field in the waveguide cross-section, using the smallest set needed for the correct modeling of the tensorial conductivity. Different results are shown, comparing them against others obtained through different techniques to validate the proposed formulation, which inherits the power of 2-D FEM for addressing general geometries and the advantages of using well-established numerical eigenvalue computation libraries.
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