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The dispersion relation of surface plasmon polaritons in graphene that includes optical losses is often obtained for complex wave vectors while the frequencies are assumed to be real. This approach, however, is not suitable for describing…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Zeeshan Ahmad , Egor A. Muljarov , Sang Soon Oh

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

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

Placing graphene on uniaxial substrates may have interesting application potential for graphene-based photonic and optoelectronic devices. Here we analytically derive the dispersion relation for graphene plasmons on uniaxial substrates and…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 I. Arrazola , R. Hillenbrand , A. Yu. Nikitin

We discuss the scattering of graphene surface plasmon-polaritons (SPPs) at an interface between two semi-infinite graphene sheets with different doping levels and/or different underlying dielectric substrates. We take into account…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 A. J. Chaves , B. Amorim , Yu. V. Bludov , P. A. D. Gonçalves , N. M. R. Peres

This paper is withdrawn by the authors. We theoretically examine graphene plasmon polaritons (GPP) supported by a sheet of graphene sandwiched between two dielectric media. The influence of the dielectric environment on GPP's is studied…

Mesoscale and Nanoscale Physics · Physics 2012-10-24 Thomas Christensen , Antti-Pekka Jauho , N. Asger Mortensen

We formulate and validate a finite element approach to the propagation of a slowly decaying electromagnetic wave, called surface plasmon-polariton, excited along a conducting sheet, e.g., a single-layer graphene sheet, by an electric…

Numerical Analysis · Mathematics 2017-05-01 Matthias Maier , Dionisios Margetis , Mitchell Luskin

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

We consider single-layer plane graphene with electronic excitations described by the Dirac equation. Using a known representation of the polarization tensor in terms of the spinor loop we show the existence of surface modes, i.e., of…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 M. Bordag

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

We characterize surface-plasmon polaritons at lossy planar interfaces between one dispersive and one nondispersive linear isotropic homogeneous media, i.e., materials or metamaterials. Specifically we solve Maxwell's equations to obtain…

Within the Dirac model for the electronic excitations of graphene, we calculate the full polarization tensor with finite mass and chemical potential. It has, besides the (00)-component, a second form factor, which must be accounted for. We…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 M. Bordag , I. G. Pirozhenko

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

We provide an analytical solution to the problem of scattering of electromagnetic radiation by a square-wave grating with a flat graphene sheet on top. We show that for deep groves there is a strong plasmonic response with light absorption…

Mesoscale and Nanoscale Physics · Physics 2013-03-04 N. M. R. Peres , Yuliy V. Bludov , A. Ferreira , Mikhail I. Vasilevskiy

The excitation of localized or delocalized surface plasmon polaritons in nanostructured or extended graphene has attracted a steadily increasing attention due to their promising applications in sensors, switches, and filters. These single…

Optics · Physics 2022-11-23 Renwen Yu , Rasoul Alaee , Falk Lederer , Carsten Rockstuhl

Surface plasmon polaritons (SPPs) are generated on the graphene surface, and provide a window into the nano-optical and electrodynamic response of their host material and its dielectric environment. An accurate simulation of SPPs presents…

Numerical Analysis · Mathematics 2025-07-25 Jichun Li , Michael Neunteufel , Li Zhu

The propagation of a surface plasmon-polariton along a stack of doped graphene sheets is considered. This auxiliary problem is used to discuss: (i) the scattering of such a mode at an interface between the stack and the vacuum; (ii) the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Yu. V. Bludov , N. M. R. Peres , G. Smirnov , M. I. Vasilevskiy

We study topological surface-plasmon-polaritons at optical frequencies in diffraction gratings formed by bipartite corrugated metal-dielectric gratings. To do so we implement the theory as developed in Della Valle and Longhi to describe the…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Thomas Benjamin Smith , Coskun Kocabas , Alessandro Principi

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

We use coupled-mode theory to describe the scattering of a surface-plasmon polariton (SPP) from a square wave grating (Bragg grating) of finite extension written on the surface of either a metal-dielectric interface or a…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 A. J. Chaves , N. M. R. Peres
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