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We develop an exact theory of plasmon scattering at the boundary between gated and ungated regions of a two-dimensional electron system (2DES). Using the Wiener-Hopf technique, we derive analytical expressions for the complex reflection and…

Other Condensed Matter · Physics 2026-05-08 I. M. Moiseenko , D. A. Svintsov

An exact solution for electromagnetic wave diffraction at the junction of two-dimensional electron systems (2DES) is obtained and analyzed for electric field polarized along the edge. A special emphasis is paid to the metal-contacted and…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Dmitry Svintsov , Alexander Shabanov

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

Unique properties of plasmons in two-dimensional electron systems (2DESs) have been studied for many years. Existing theoretical approaches allow for analytical study of the properties of ungated and gated plasmons in two fundamental, ideal…

Mesoscale and Nanoscale Physics · Physics 2019-04-11 A. A. Zabolotnykh , V. A. Volkov

Despite numerous applications of two-dimensional plasmons for electromagnetic energy manipulation at the nanoscale, their quantitative refraction and reflection laws (analogs of Fresnel formulas in optics) have not yet been established.…

Optics · Physics 2023-10-10 Dmitry Svintsov , Georgy Alymov

Generation of photocurrent via photon drag effect enables very fast light detection with response time limited by momentum relaxation. At the same time, photon drag in bulk uniform samples is small by the virtue of small photon momentum. We…

Other Condensed Matter · Physics 2025-10-21 I. M. Moiseenko , D. A. Svintsov , Zh. A. Devizorova

We have analytically studied plasmons in an electron system comprised of two spatially separated layers -- an infinite two-dimensional electron system (2DES) and a 2D strip. Our analysis reveals the existence of plasmon modes that are…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 A. A. Zabolotnykh , V. A. Volkov

Long-lived and ultra-confined plasmons in two-dimensional (2D) electron systems may provide a sub-wavelength diagnostic tool to investigate localized dielectric, electromagnetic, and pseudo-electromagnetic perturbations. In this Article, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Iacopo Torre , Mikhail I. Katsnelson , Alberto Diaspro , Vittorio Pellegrini , Marco Polini

The inelastic light scattering in a 2-d electron gas is studied theoretically using the Boltzmann equation techniques. Electron-hole excitations produce the Raman spectrum essentially different from the one predicted for the 3-d case. In…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

Plasmons in two-dimensional electron gas (2DEG) strips with grounded electrodes (a gate or side contacts) are investigated. We consider two systems: (a) the 2DEG strip with a highly conducting gate and (b) the 2DEG strip with semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. Satou , V. Ryzhii

We theoretically investigate a nonlinear response to a linearly polarized monochromatic electromagnetic wave incident at an angle on a two-dimensional (2D) electronic system (ES) in the form of an infinite strip. The 2D ES is situated on a…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 D. A. Rodionov , S. G. Timchenko , I. V. Zagorodnev

We study the properties of edge plasmons in two-component electron liquids in the presence of pseudomagnetic fields, which have opposite signs for the two different electronic populations and therefore preserve the time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Alessandro Principi , Mikhail I. Katsnelson , Giovanni Vignale

Scattering of a plane electromagnetic wave by an anisotropic impedance right-angled concave wedge at skew incidence is analyzed. A closed-form solution is derived by reducing the problem to a symmetric order-2 vector Riemann-Hilbert problem…

Mathematical Physics · Physics 2014-01-16 Y. A. Antipov

We investigate the field and spin-momentum coupling of edge plasmons hosted by general two-dimensional materials and identify sweet spots depending on the polarisation plane, ellipticity and the position of an electric dipole relative to…

Mesoscale and Nanoscale Physics · Physics 2019-07-25 T. Stauber , A. Nemilentsau , T. Low , G. Gómez-Santos

In this tutorial paper, we consider the problem of electromagnetic scattering by a bounded two-dimensional dielectric object, and discuss certain interesting properties of the scattered field. Using the electric field integral equation,…

Optics · Physics 2015-07-08 Uday K. Khankhoje , Kushal Shah

This article considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete…

Numerical Analysis · Mathematics 2022-02-24 M. A. Nethercote , A. V. Kisil , R. C. Assier

Plasmons in two-dimensional electron systems (2DES) feature ultra-strong confinement and are expected to efficiently mediate the interactions between light and charge carriers. Despite these expectations, the electromagnetic detectors…

Mesoscale and Nanoscale Physics · Physics 2022-07-01 Dmitry Mylnikov , Dmitry Svintsov

Scattering of time-harmonic plane wave by two parallel semi-infinite rows, but with staggered edges, is considered on square lattice. The condition imposed on the semi-infinite rows is a discrete analogue of Neumann boundary condition. A…

Mathematical Physics · Physics 2019-09-04 Gaurav Maurya , Basant Lal Sharma

A general electrodynamic theory of a grating coupled two dimensional electron system (2DES) is developed. The 2DES is treated quantum mechanically, the grating is considered as a periodic system of thin metal strips or as an array of…

Condensed Matter · Physics 2009-10-31 S. A. Mikhailov
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