Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene

By George W. Hanson. 2007

2,719 citations recorded by the source corpus.

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 infinitesimally thin, 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 surface wave exists if and only if σ″>0 (associated with interband conductivity), and a proper transverse-magnetic 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.

Subfields: Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/df7311ac3cafdca989988e8a6cafaa1457a6c64c

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In Atomic and Molecular Physics, and Optics

In Electronic, Optical and Magnetic Materials

In Materials Chemistry

Citations in the corpus

Design of ultra-broadband graphene absorber using circuit theory (2015, methodology): “The graphene layer is modeled numerically by a thin layer (with thickness Δ 1 nm) of permittivity εGR ε0 − jσGR∕ ωΔ , with σGR as the surface conductivity of graphene which can be derived using the well-known Kubo formula [18] and written as”
Electromagnetic wireless nanosensor networks (2010, background): “Physical nanosensors and nanoactuators can be used to enhance remote controls of complex machinery, amongst others.”
Terahertz Antenna Phase Shifters Using Integrally-Gated Graphene Transmission-Lines (2013, methodology): “Here, we assume the temperature and [17], [20] consistent with the ballistic transport features of graphene, whose mean free path was measured to be up to 500 nm at room temperature and larger than 4 at lower temperatures [18]–[20], [26]–[28].”
Design of a Reconfigurable MIMO System for THz Communications Based on Graphene Antennas (2014, background): “If is large enough, the maximum conductivity of the highly doped graphene can be 10 000 times larger than the minimum conductivity [6], [29].”
Mid-infrared integrated photonics on silicon: a perspective (2017, result): “05-μm wavelength (Figure 11B), which agrees well with our theoretical predictions derived from the surface conductive model (Figure 11C) [166].”
Channel Modeling and Capacity Analysis for Electromagnetic Wireless Nanonetworks in the Terahertz Band (2011, background): “When it comes to GNRs, the propagation of EM waves on a graphene sheet was first analyzed in [10].”