Effect of Spatial Dispersion on Surface Waves Propagating Along Graphene Sheets

Abstract

We investigate the propagation of surface waves along a spatially dispersive graphene sheet, including substrate effects. The proposed analysis derives the admittances of an equivalent circuit of graphene able to handle spatial dispersion, using a non-local model of graphene conductivity. Similar to frequency selective surfaces, the analytical admittances depend on the propagation constant of the waves traveling along the sheet. Dispersion relations for the supported TE and TM modes are then obtained by applying a transverse resonance equation. Application of the method demonstrates that spatial dispersion can dramatically affect the propagation of surface plasmons, notably modifying their mode confinement and increasing losses, even at frequencies where intraband transitions are the dominant contribution to graphene conductivity. These results show the need for correctly assessing spatial dispersion effects in the development of plasmonic devices at the low THz band.

8 pages; 14 figures

References in corpus (7)

• Electric Field Effect in Atomically Thin Carbon Films
• Dyadic Green's Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Theory of surface plasmons and surface-plasmon polaritons
• Magneto-optical conductivity in Graphene
• Space-time dispersion of graphene conductivity
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Cited by in corpus (3)

• Directional excitation of graphene surface plasmons
• Global Complex Roots and Poles Finding Algorithm Based on Phase Analysis for Propagation and Radiation Problems
• On the Influence of Spatial Dispersion on the Performance of Graphene-Based Plasmonic Devices