On solutions of Maxwell's equations with dipole sources over a thin conducting film

Abstract

We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media. Exact expressions for all field components are extracted in terms of rapidly convergent series of known transcendental functions when the ambient media have equal permittivities and both the dipole and observation point lie on the plane of the film. These solutions are simplified for all distances from the source when the film surface resistivity is large in magnitude compared to the intrinsic impedance of the ambient space. The formulas reveal the analytical structure of two types of waves that can possibly be excited by the dipoles and propagate on the film. One of these waves is intimately related to the surface plasmon-polariton of transverse-magnetic (TM) polarization of plane waves.

48 pages, 4 figures

References in corpus (4)

• Dyadic Green's Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene
• Optical far-infrared properties of graphene monolayer and multilayers
• Plasmons and screening in monolayer and multilayer black phosphorus
• A Primer on Surface Plasmon-Polaritons in Graphene

Cited by in corpus (4)

• Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation
• Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets
• Edge plasmon-polaritons on isotropic semi-infinite conducting sheets
• Dipole excitation of collective modes in viscous two-dimensional electron systems