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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,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 J. S. Gomez-Diaz , J. R. Mosig , J. Perruisseau-Carrier

With the unique possibilities for controlling light in nanoscale devices, graphene plasmonics has opened new perspectives to the nanophotonics community with potential applications in metamaterials, modulators, photodetectors, and sensors.…

Optics · Physics 2016-06-07 Sanshui Xiao , Xiaolong Zhu , Bo-Hong Li , N. Asger Mortensen

Transverse-electric (TE) surface plasmon polaritons are unique eigenmodes of a homogeneous graphene layer that are tunable with the chemical potential and temperature. However, as their dispersion curve spectrally lies just below the light…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Zeeshan Ahmad , Sang Soon Oh , Egor A. Muljarov

We discuss the properties of surface plasmons-polaritons in graphene and describe three possible ways of coupling electromagnetic radiation in the terahertz (THz) spectral range to this type of surface waves. (i) the attenuated total…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 Yu. V. Bludov , A. Ferreira , N. M. R. Peres , M. I. Vasilevskiy

The propagation of electromagnetic waves along the surface of a nonlinear dielectric covered by a graphene layer is investigated. The main result is that such a surface can support and stabilize nonlinear transverse electric (TE) plasmon…

Mesoscale and Nanoscale Physics · Physics 2014-01-30 Yuliy V. Bludov , Daria A. Smirnova , Yuri S. Kivshar , Nuno M. R. Peres , Mikhail I. Vasilevskiy

In this paper, we predict the existence of low-frequency nonlocal plasmon excitations at the vacuum-surface interface of a superlattice of $N$ graphene layers interacting with a thick conducting substrate. This is different from graphite…

Mesoscale and Nanoscale Physics · Physics 2015-08-11 Godfrey Gumbs , Andrii Iurov , Jhao-Ying Wu , M. F. Lin , Paula Fekete

We study the optical properties of double-layer graphene for linearly polarized evanescent modes and discuss the in-phase and out-of-phase plasmon modes for both, longitudinal and transverse polarization. We find a energy for which…

Mesoscale and Nanoscale Physics · Physics 2012-02-22 T. Stauber , G. Gómez-Santos

We derive an integral equation describing surface-plasmon polaritons in graphene deposited on a substrate with a planar surface and a dielectric protrusion in the opposite surface of the dielectric slab. We show that the problem is…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 André J. Chaves , Diego R. Costa , Gil A. Farias , Nuno M. R. Peres

We investigate through analytic calculations the surface plasmon dispersion relation for monolayer graphene sheets and a separated parallel pair of graphene monolayers. An approximate form for the dispersion relation for the monolayer case…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Choon How Gan , Hong Son Chu , Er Ping Li

We explore the unusual non-reciprocal and diffraction-less properties of surface plasmon polaritons propagating in drift-biased graphene-based metasurfaces. We show that applying a drift-current on a graphene sheet leads to extremely…

Applied Physics · Physics 2019-09-04 D. Correas-Serrano , J. S. Gomez-Diaz

Screened plasmon properties of graphene near a perfect electric conductor are investigated using classical electrodynamics and a linearized hydrodynamic model that includes Fermi correction. A general expression for the dispersion relation…

Optics · Physics 2023-08-08 Afshin Moradi , Nurhan Turker Tokan

Dispersion equations are a common paradigm of collective excitation physics. However, in some systems, dispersion equations contain multivalued functions and their solutions are ambiguous. As an example, we consider graphene on a polar…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 S. M. Kukhtaruk , V. A. Kochelap

Numerical and closed-form analytic expressions for plasmon dispersion relations and rates of dissipation are first obtained at finite-temperatures for free-standing gapped graphene. These closed-system results are generalized to an open…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andrii Iurov , Godfrey Gumbs , Danhong Huang , V. M. Silkin

We analytically obtain the dispersion relations for transverse-electric (TE) and transverse-magnetic (TM) surface plasmon-polaritons in a nonlinear two-dimensional (2D) conducting material lying between two Kerr-type dielectric media. To…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Vera Andreeva , Mitchell Luskin , Dionisios Margetis

In this article we perform the quantization of graphene plasmons using both a macroscopic approach based on the classical average electromagnetic energy and a quantum hydrodynamic model, in which graphene charge carriers are modeled as a…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Beatriz A. Ferreira , B. Amorim , A. J. Chaves , N. M. R. Peres

Excitation of surface plasmon waves in extrinsic graphene is studied using a full-wave electromagnetic field solver as analysis engine. Particular emphasis is placed on the role played by spatial dispersion due to the finite size of the…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Davide Mencarelli , Stefano Bellucci , Antonello Sindona , Luca Pierantoni

From a three-dimensional boundary value problem for the time harmonic classical Maxwell equations, we derive the dispersion relation for a surface wave, the edge plasmon-polariton (EP), that is localized near and propagates along the…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Dionisios Margetis

Graphene supports surface plasmon polaritons (SPPs) with extreme field confinement and electrical tunability, but these waves are typically short-lived due to ohmic loss in the sheet. We show that embedding graphene in an active dielectric…

Optics · Physics 2026-03-24 Andrianos Sygrimis , Giorgos P. Tsironis

The theory of optical effects in hydrogenated graphene (graphane) in terahertz and infrared range is developed, including the analysis of complex conductivity, reflection coefficient for graphane on a substrate and dispersion of surface…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 E. I. Preobrazhensky , I. V. Oladyshkin , M. D. Tokman

The paper deals with the theoretical consideration of surface plasmon-polaritons in the graphene monolayer, embedded into dielectric with spatially separated gain and losses. It is demonstrated, that presence of gain and losses in the…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 O. A. Zhernovnykova , O. V. Popova , G. V. Deynychenko , T. I. Deynichenko , Yuliy V. Bludov
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