Analytical solution for the diffraction of an electromagnetic wave by a graphene grating

Abstract

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions for reflection, transmission, absorption and transformation coefficients in arbitrary diffraction orders are presented. The dispersion relation and decay rates for graphene plasmons of the grating are found. Simple analytical expressions for the value of the band gap in the vicinity of the first Brillouin zone edge is derived. The optimal amplitude and wavelength, guaranteeing the best matching of the incident light with graphene plasmons are found for the conductivity grating. The analytical results are in a good agreement with first-principle numeric simulations.

20 pages, 5 figures

References in corpus (11)

• Dyadic Green's Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Ripple Texturing of Suspended Graphene Atomic Membranes
• Manipulating infrared photons using plasmons in transparent graphene superlattices
• Dynamical polarization of graphene at finite doping
• Mid-infrared plasmons in scaled graphene nanostructures
• A Primer on Surface Plasmon-Polaritons in Graphene
• Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
• Graphene-based polaritonic crystal
• Scattering of Graphene plasmons by defects in the graphene sheet
• Excitation of surface plasmon-polaritons in metal films with double periodic modulation: anomalous optical effects

Cited by in corpus (14)

• Terahertz Science and Technology of Carbon Nanomaterials
• Broadband Nonreciprocal Amplification in Luminal Metamaterials
• Broadband Tunable THz Absorption with Singular Graphene Metasurfaces
• Directional excitation of graphene surface plasmons
• Graphene, plasmons and transformation optics
• Modeling the Excitation of Graphene Plasmons in Periodic Grids of Graphene Ribbons: An Analytical Approach
• Dissipative plasmon solitons in graphene nanodisk arrays
• Second-harmonic generation in subwavelength graphene waveguides
• Optical signatures of nonlocal plasmons in graphene
• Theoretical investigation of the spontaneous emission on graphene plasmonic antenna in THz regime
• Twisted polaritonic crystals in thin van der Waals slabs
• Non-local quantum effects in plasmons of graphene superlattices
• Probing Graphene's Nonlocality with Singular Metasurfaces
• Direct S-matrix calculation for diffractive structures and metasurfaces