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Assuming that the resonant surface plasmons on a spherical nanoparticle is formed by standing waves of two counter-propagating surface plasmon waves along the surface, by using Mie theory simulation, we find that the dispersions of surface…

Optics · Physics 2014-12-09 Yurui Fang , Xiaorui Tian

We present a particular class of solutions in Cartesian, cylindrical and spherical coordinates of the non-dispersive travelling wave variety that propagate an envelope of varying vorticity some of which include topological waves with…

General Physics · Physics 2018-01-11 Theophanes E. Raptis , Christos D. Papageorgiou

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.

Fluid Dynamics · Physics 2013-06-18 Xiaoping Xu

We show that the classic results of Schwinger on the exact propagation of particles in the background of constant field-strengths and plane waves can be readily extended to the case of non-commutative QED. It is shown that non-perturbative…

High Energy Physics - Theory · Physics 2016-12-21 L. Alvarez-Gaume , J. L. F. Barbon

This paper presents new analytic solutions to the Dirac equation employing a recently introduced method that is based on the formulation of spinorial fields and their driving electromagnetic fields in terms of geometric algebras. A first…

Quantum Physics · Physics 2020-01-22 Andre G. Campos , Renan Cabrera

We demonstrate that nonlinear decay of obliquely propagating Langmuir waves into Langmuir and Alfven waves (L --> L'+A) is possible in a one-dimensional, highly relativistic, streaming, pair plasma. Such a plasma may be in the…

Astrophysics · Physics 2009-11-13 G. Gogoberidze , G. Z. Machabeli , V. V. Usov

By "surface waves" one means a special kind of waves that propagate at the interface between two different media. There exists a large variety of such waves, which are interesting on their own, and sometimes have also practical importance…

Classical Physics · Physics 2021-07-12 M. I. Dyakonov

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

The majority of stochastic channel models rely on the electromagnetic far-field assumption, which allows to decompose the channel in terms of plane waves. The far-field assumption breaks down in future applications that push towards the…

Information Theory · Computer Science 2022-04-28 Andrea Pizzo , Luca Sanguinetti , Thomas L. Marzetta

In this work, a systematic study, examining the propagation of periodic and solitary wave along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum…

Pattern Formation and Solitons · Physics 2020-10-28 G. Abbas , P. G. Kevrekidis , J. E. Allen , V. Koukouloyannis , D. J. Frantzeskakis , N. Karachalios

Bloch-like surface waves associated with a quasiperiodic structure are observed for the first time in a classic wave propagation experiment which consists of pulse propagation with a shallow fluid covering a quasiperiodically drilled…

Materials Science · Physics 2021-11-05 M. Torres , J. L. Aragon , Juan P. Adrados , P. Cobo , S. Tehuacanero

Theoretical concepts ofn cosmic ray particle acceleration at relativistic plasma flows -- shocks and shear layers -- are reviewed. We begin with a discussion of mildly relativistic shock waves. The role of oblique field configurations and…

Astrophysics · Physics 2007-05-23 M. Ostrowski

Nonlinear electromagnetic waves with superluminal phase velocity can propagate in the winds around isolated pulsars, and around some pulsars in binary systems. Using a short-wavelength approximation, we find and analyze an integrable system…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Iwona Mochol , John G. Kirk

We investigate three-dimensional nonparaxial linear accelerating beams arising from the transverse Whittaker integral. They include different Mathieu, Weber, and Fresnel beams, among other. These beams accelerate along a semicircular…

We investigate the effect of non-paraxiality in the dynamics of dispersive shock waves in the defocusing nonlinear Schroedinger equation. We show that the problem can be described in terms of a relativistic particle moving in a potential.…

Optics · Physics 2015-07-24 Silvia Gentilini , Eugenio DelRe , Claudio Conti

We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two distinct metrics in…

Analysis of PDEs · Mathematics 2023-12-08 Joonas Ilmavirta , Maarten V. de Hoop , Vitaly Katsnelson

We investigate the linearized hydrodynamic equations of interacting self-propelled particles in two dimensional space. It is found that the small perturbations of density and polarization fields satisfy the hyperbolic partial differential…

Biological Physics · Physics 2019-01-01 Waipot Ngamsaad , Suthep Suantai

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

Numerical Analysis · Mathematics 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets that oscillate on the microscale (i.e. on lengths of the order…

Mathematical Physics · Physics 2021-01-26 Kirill Cherednichenko
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