Transverse-resonance analysis of dominant-mode propagation in graphene nano-waveguides

Dispersion properties of the dominant modes supported by two-dimensional graphene-based nano-waveguides are studied by means of an exact approach based on the transverse-resonance technique and using the equivalent circuit representation of graphene sheets. In particular, in the absence of magnetic bias, the graphene is characterized by a scalar conductivity obtained based on semi-classical and quantum-mechanical arguments. Such a description takes into account the possible presence of static electric biasing fields and/or chemical doping. The modal features of graphene nano-waveguides are investigated in detail thus showing their potential in future nano-electromagnetic and nano-photonic applications.