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Electron-beam propagation experiments have been used to determine the energy and angle dependence of electron-electron (ee) scattering a two-dimensional electron gas (2DEG) in a very direct manner by a new spectroscopy method. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Yanovsky , H. Predel , H. Buhmann , R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , L. W. Molenkamp

The selective excitation of localized surface wave modes remains a challenge in the design of both leaky-wave and bound-wave devices. In this Letter, we show how the truncation of a metasurface can play an important role in breaking the…

Optics · Physics 2020-08-28 Miguel Camacho , Filippo Capolino , Matteo Albani

Terahertz time domain spectroscopy employing free-space radiation has frequently been used to probe the elementary excitations of low-dimensional systems. The diffraction limit blocks its use for the in-plane study of individual laterally…

Using scanning gate microscopy (SGM), we probe the scattering between a beam of electrons and a two-dimensional electron gas (2DEG) as a function of the beam's injection energy, and distance from the injection point. At low injection…

Mesoscale and Nanoscale Physics · Physics 2010-11-02 M. P. Jura , M. Grobis , M. A. Topinka , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon

The microwave response of a two-dimensional electron system (2DES) covered by a conducting top gate is investigated in the relativistic regime for which the 2D conductivity $\sigma_{2 \rm{D}} > c/2\pi$. Weakly damped plasma waves are…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 V. M. Muravev , P. A. Gusikhin , I. V. Andreev , I. V. Kukushkin

Confined modes at the edge arbitrarily inclined with respect to optical axes of nonmagnetic anisotropic 2D materials are considered. By developing the exact Wiener-Hopf and approximated Fetter methods we studied edge modes dispersions,…

Mesoscale and Nanoscale Physics · Physics 2021-04-05 A. A. Sokolik , O. V. Kotov , Yu. E. Lozovik

A solution to the problem of water-wave scattering by a semi-infinite submerged thin elastic plate, which is either porous or non-porous, is presented using the Wiener-Hopf technique. The derivation of the Wiener-Hopf equation is rather…

Fluid Dynamics · Physics 2020-11-03 M. J. A. Smith , M. A. Peter , I. D. Abrahams , M. H. Meylan

Electron optics deals with condensed matter platforms for manipulating and guiding electron beams with high efficiency and robustness. Common devices rely on the spatial confinement of the electrons into one-dimensional channels. Recently,…

Mesoscale and Nanoscale Physics · Physics 2024-03-04 Yuhao Zhao , Anina Leuch , Oded Zilberberg , Antonio Štrkalj

A 2D problem of acoustic wave scattering by a segment bearing impedance boundary conditions is considered. In the current paper (the first part of a series of two) some preliminary steps are made, namely, the diffraction problem is reduced…

Analysis of PDEs · Mathematics 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

Optics · Physics 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

We experimentally investigate the terahertz spectrum of plasma excitations in a plasmonic crystal based on AlGaN/GaN two-dimensional electron system (2DES). While screened plasmon modes with linear dispersion are readily observed in the…

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

Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The changes in lattice spacing and the transfer integral between…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Basant Lal Sharma

We consider the scattering of in-plane waves that interact with an edge of a structured {penetrable (inertial)} line defect contained in a triangular lattice, composed of periodically placed masses interconnected by massless elastic rods.…

Classical Physics · Physics 2023-12-27 M. J. Nieves , B. L. Sharma

Microwave absorption spectra of a single square of two-dimensional electrons (2DES) have been investigated using an optical detection technique. Fundamental dipole and harmonic quadrupole plasmon modes have been identified and compared to…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 A. M. Zarezin , D. Mylnikov , A. S. Petrov , D. Svintsov , P. A. Gusikhin , I. V. Kukushkin , V. M. Muravev

The concept of geometric phase was applied to initiate the geometric-phase portrayal of electromagnetic scattering by a three-dimensional object in free space. Whereas the incident electromagnetic field is that of an arbitrarily polarized…

Optics · Physics 2026-02-10 Akhlesh Lakhtakia

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

We demonstrate that the slot between parallel metal gates placed above two-dimensional electron system (2DES) forms a plasmonic cavity with unconventional mode quantization. The resonant plasmon modes are excited when the slot width $L$ and…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Ilia Moiseenko , Zhanna Devizorova , Olga Polischuk , Viacheslav Muravev , Dmitry Svintsov

We analytically investigate the plasmons propagating in a homogeneous two-dimensional (2D) electron system, along the metal grating in the form of a periodic array of strip-shaped electrodes (gates) in the vicinity of the 2D system. We show…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 A. V. Nikonov , A. A. Zabolotnykh , V. A. Volkov