Dyadic Green´s Functions for an Anisotropic, Non-Local Model of Biased Graphene

Dyadic Green´s functions are presented for an anisotropic surface conductivity model of biased graphene. The graphene surface can be biased using either a perpendicular static electric field, or by a static magnetic field via the Hall effect. The graphene is represented by an infinitesimally-thin, two-sided, non-local anisotropic conductivity surface, and the field is obtained in terms of Sommerfeld integrals. The role of spatial dispersion is accessed, and the effect of various static bias fields on electromagnetic field behavior is examined. It is shown that by varying the bias one can exert significant control over graphene´s electromagnetic propagation characteristics, including guided surface wave phenomena, which may be useful for future electronic and photonic device applications.