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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

We derive an asymptotic equation for quasi-static, nonlinear surface plasmons propagating on a planar interface between isotropic media. The plasmons are nondispersive with a constant linearized frequency that is independent of their…

Analysis of PDEs · Mathematics 2015-10-29 Ryan G. Halabi , John K. Hunter

The ability to effectively guide electromagnetic radiation below the diffraction limit is of the utmost importance in the prospect of all-optical plasmonic circuitry. Here, we propose an alternative solution to conventional metal-based…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 P. A. D. Gonçalves , E. J. C. Dias , Sanshui Xiao , M. I. Vasilevskiy , N. Asger Mortensen , N. M. R. Peres

The properties of surface plasmons localized at the interface between graphene and kerr-type nonlinear medium in three dimensions are investigated. Compared with surface plasmons at the surface of metal, with the inevitable nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Lei Wang , Wei Cai , Xinzheng Zhang , F. J. Garcia de Abajo , Jingjun Xu

In this work fluctuations in the electric field of surface plasmon polaritons undergoing random scattering on a rough metallic surface are considered. A rigorous closed form analytic expression is derived describing second order…

Optics · Physics 2019-06-11 Matthew R. Foreman

Surface plasmons polaritons were thought to exist only in metals near their plasma frequencies. The concept of spoof plasmons extended the realms of plasmonics to domains such as radio frequencies, magnetism, or even acoustic waves. Here,…

Classical Physics · Physics 2020-04-06 M. Farhat , S. Guenneau , P. Y. Chen , K. N. Salama , H. Bagci

We study the propagation of plasmons on graphene. The problem is considered in two dimensions with a transverse magnetic (TM) electromagnetic field. The graphene material is assumed to be flat and is modeled as a conductive sheet. This…

Analysis of PDEs · Mathematics 2025-06-16 Fadil Santosa , Tong Shi

In this work, we revisit the topic of surface waves on nonreciprocal plasmonic structures, and clarify whether strictly unidirectional surface plasmon-polaritons are allowed to exist in this material platform. By investigating different…

Optics · Physics 2019-04-30 S. Ali Hassani Gangaraj , Francesco Monticone

Surface plasmon polaritons propagating along curved metal-dielectric interfaces experience geometry-induced modifications absent on flat surfaces. In this work, we derive a covariant, effective two-dimensional wave equation for the…

Quantum Physics · Physics 2026-03-31 Florian Bönsel , Flore K. Kunst

One fundamental motivation to know the dispersive, or frequency dependent characteristics of localized surface plasmons (LSPs) supported by elliptical shaped particles wrapped with graphene sheet, as well as their scattering characteristics…

Optics · Physics 2021-11-24 Mauro Cuevas , Ricardo A. Depine

We study the propagation of surface electromagnetic waves along the metallic surface covered by various layered dielectric structures. We show that strong radiative losses typical for the scattering of the surface wave can be considerably…

Optics · Physics 2010-09-28 Tomas Vary , Peter Markos

We perform a comprehensive analysis of the spectrum of graphene plasmons which arise when a pair of sheets are confined between conducting materials. The associated enhanced local fields may be employed in the manipulation of light on the…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Godfrey Gumbs , Dipendra Dahal , Antonios Balassis

Studying basic physical effects sustained in metamaterials characterized by specific constitutive relation is a research topic with a long standing tradition. Besides intellectual curiosity, it derives its importance from the ability to…

Using the recently developed polarization tensor in (2+1) dimensions for the electronic excitations of graphene, we investigate the influence of temperature on the surface plasmons on graphene. We consider non-zero mass gap, but zero…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 M. Bordag , I. Pirozhenko

We present a way of exciting surface plasmon polaritons along non-patterned metallic surfaces by means of a flat squeezing slab designed with transformation optics. The slab changes the dispersion relation of incident light, enabling…

Plasmon and polariton modes are derived for an ideal semi-infinite (half-space) plasma and an ideal plasma slab by using a general, unifying procedure, based on equations of motion, Maxwell's equations and suitable boundary conditions.…

Optics · Physics 2015-05-13 M. Apostol , G. Vaman

We present a semi-analytical model that predicts the excitation of surface-plasmon polaritons (SPP) on a graphene sheet located in front of a sub-wavelength slit drilled in thick metal screen. We identify the signature of the SPP in the…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 D. C. Pedrelli , B. S. C. Alexandre , N. M. R. Peres

We show that surface-plasmon polaritons excited in negative permittivity metamaterials having shallow periodic surface corrugation profiles can be explored to push the absorption of single and continuous sheets of graphene up to 100%. In…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 A. Ferreira , N. M. R. Peres

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

Surface plasmon polaritons in planar graphene superlattices with one-dimensional periodic mo-dulation of the band gap were studied. The interminiband contribution to the optical conductivity of this system was found by the equation of…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Pavel V. Ratnikov