Dyadic Green’s Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene

نویسنده

  • George W. Hanson
چکیده

An exact solution is obtained for the electromagnetic field due to an electric current in the presence of a surface conductivity model of graphene. The graphene is represented by an infinitesimallythin, local and isotropic two-sided conductivity surface. The field is obtained in terms of dyadic Green’s functions represented as Sommerfeld integrals. The solution of plane-wave reflection and transmission is presented, and surface wave propagation along graphene is studied via the poles of the Sommerfeld integrals. For isolated graphene characterized by complex surface conductivity σ = σ+ jσ, a proper transverse-electric (TE) surface wave exists if and only if σ > 0 (associated with interband conductivity), and a proper transverse-magnetic (TM) surface wave exists for σ < 0 (associated with intraband conductivity). By tuning the chemical potential at infrared frequencies, the sign of σ can be varied, allowing for some control over surface wave properties.

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تاریخ انتشار 2008