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By an integral equation approach to the time-harmonic classical Maxwell equations, we describe the dispersion in the nonretarded frequency regime of the edge plasmon-polariton (EPP) on a semi-infinite flat sheet. The sheet has an arbitrary,…

Mathematical Physics · Physics 2020-01-29 Dionisios Margetis , Matthias Maier , Tobias Stauber , Tony Low , Mitchell Luskin

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

By formally invoking the Wiener-Hopf method, we explicitly solve a one-dimensional, singular integral equation for the excitation of a slowly decaying electromagnetic wave, called surface plasmon-polariton (SPP), of small wavelength on a…

Mathematical Physics · Physics 2017-01-12 Dionisios Margetis , Matthias Maier , Mitchell Luskin

Surface plasmon polaritons (SSP), moving along a smooth curved interface between two isotropic media with slowly varying dielectric permittivities and magnetic permeabilities and supporting SSP, are studied theoretically. Solutions of…

Optics · Physics 2011-04-20 Maria V. Perel , Dmitry Yu. Zaika

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

Diffraction of light at lateral inhomogenities is a central process in the near-field studies of nanoscale phenomena, especially the propagation of surface waves. Theoretical description of this process is extremely challenging due to…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Egor Nikulin , Denis Bandurin , Dmitry Svintsov

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

By using numerical and analytical methods, we describe the generation of fine-scale lateral electromagnetic waves, called surface plasmon-polaritons (SPPs), on atomically thick, metamaterial conducting sheets in two spatial dimensions (2D).…

Computational Physics · Physics 2017-02-06 Matthias Maier , Dionisios Margetis , Mitchell Luskin

The canonical boundary-value problem for surface-plasmon-polariton (SPP) waves guided by the planar interface of a dielectric material and a plasmonic material was solved for cases wherein either partnering material could be a uniaxial…

Optics · Physics 2019-09-18 Chenzhang Zhou , Tom G. Mackay , Akhlesh Lakhtakia

We analyze theoretically the propagation of surface plasmon polaritons about a metallic corner with a finite bend radius, using a one-dimensional model analogous to the scattering from a finite-depth potential well. We obtain expressions…

Optics · Physics 2009-11-10 Keisuke Hasegawa , Jens U. Noeckel , Miriam Deutsch

The effect of electromagnetic retardation on the spectrum of edge plasmons in a semi-infinite two-dimensional electron system is considered. The problem is reduced to complicated integral equations for the potentials, which are solved upon…

Mesoscale and Nanoscale Physics · Physics 2016-12-16 A. A. Zabolotnykh , V. A. Volkov

The canonical problem of the propagation of surface-plasmon-polariton (SPP) waves localized to the planar interface of a metal and a sculptured nematic thin film (SNTF) that is periodically nonhomogeneous along the direction normal to the…

Optics · Physics 2010-07-13 Muhammad Faryad , John A. Polo , Akhlesh Lakhtakia

We recently formulated the canonical boundary-value problem of propagation of surface plasmon-polariton (SPP) waves along the direction of periodicity of a one-dimensional photonic crystal. Here we present the general formulation of that…

Optics · Physics 2019-07-23 Mehran Rasheed , Muhammad Faryad

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

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

In this letter we show how the dispersion relation of surface plasmon polaritons (SPPs) propagating along a perfectly conducting wire can be tailored by corrugating its surface with a periodic array of radial grooves. In this way, highly…

We study the TE polarized electromagnetic surface wave propagating along the interface between materials with positive and negative magnetic permeability. Contrary to the TM polarized surface wave, the TE surface wave exhibits almost no…

Materials Science · Physics 2010-09-28 T. Vary , P. Markos

Surface polaritons in an anisotropic media posses a strong dependence of the wavevector on the propagation direction, which is called the isofrequency contour. This can lead to the fact that polariton propagation is possible only in a…

Optics · Physics 2024-07-16 K. Yu. Golenitskii

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

The present paper is devoted to the theoretical study of the spectrum of low-frequency electronic density oscillations running along the boundary of two contacting two-dimensional electronic systems in the perpendicular magnetic field. For…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. I. Mogilyuk
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