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This article introduces a physically realistic model for explaining how electromagnetic waves can be internally generated, propagate and interact in strongly magnetized plasmas or in nuclear magnetic resonance experiments. It studies high…

Analysis of PDEs · Mathematics 2020-09-04 Remi Carles , Christophe Cheverry

We investigate two types of nonlinear interaction between collinear femtosecond laser pulses with power slightly above the critical for self-focusing $P_{cr}$. In the first case we study energy exchange between filaments. The model…

Optics · Physics 2015-04-14 L. M. Kovachev , D. A. Georgieva

We consider the coupled electromagnetic waves propagating in a waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. Due to zigzag configuration there are interactions between both nearest…

Optics · Physics 2013-05-01 Elena V. Kazantseva , Andrey I. Maimistov

Electron acoustic waves (EAWs) are nonlinear plasma modes characterized by electron trapping, which suppresses the usual Landau damping. Despite being predicted in the 1990s, their excitation and decay mechanisms remain a subject of active…

Plasma Physics · Physics 2025-03-24 F. Valentini , T. M. O'Neil , D. H. Dubin

Using a two-fluid approach, we consider the properties of relativistically nonlinear (arbitrary $a_0$), circularly polarized \EM\ waves propagating along magnetic field in electron-ion and pair plasmas. Dispersion relations depend on how…

High Energy Astrophysical Phenomena · Physics 2026-04-15 Maxim Lyutikov

In this paper, we address the theoretical resolution of the Vlasov-Gauss system from the linear regime to the strongly nonlinear one, when significant trapping has occurred. The electric field is that of a sinusoidal electron plasma wave…

Plasma Physics · Physics 2017-12-06 Didier Benisti

Numerical modeling of the interaction process of two counter-streaming supersonic plasma flows with an arched magnetic field configuration in the regime of a magnetic Mach number of the order of unity $M_m \sim 1$ is carried out. The flows…

The nonlinear propagation of electromagnetic waves in pair plasmas, in which the electrostatic potential plays a very important but subdominant role of a "binding glue" is investigated. Several mechanisms for structure formation are…

Plasma Physics · Physics 2015-05-14 S. M. Mahajan , N. L. Shatashvili , V. I. Berezhiani

A formulation for the parametric instability of electromagnetic (EM) waves in magnetized pair plasma is developed. The linear growth rate of induced Compton scattering is derived analytically for frequencies below the cyclotron frequency…

High Energy Astrophysical Phenomena · Physics 2025-03-14 Rei Nishiura , Shoma F. Kamijima , Masanori Iwamoto , Kunihito Ioka

We propose experiments on the collision of high intensity electromagnetic pulses with electron bunches and on the collision of multiple electromagnetic pulses for studying extreme field limits in the nonlinear interaction of electromagnetic…

A kinetic theory for radiation interacting with sound waves in an ultrarelativistic electron-positron plasma is developed. It is shown that the effect of a spatial spectral broadening of the electromagnetic pulse is to introduce a reduction…

Plasma Physics · Physics 2007-05-23 M. Marklund , P. K. Shukla , L. Stenflo

We consider the nonlinear propagation of electrostatic wave packets in an ultra-relativistic (UR) degenerate dense electron-ion plasma, whose dynamics is governed by the nonlocal two-dimensional nonlinear Schr{\"o}dinger-like equations. The…

Plasma Physics · Physics 2015-03-17 A. P. Misra , P. K. Shukla

We present results of 2D3V particle-in-cell simulations of non-relativistic plasma collisions with absent or parallel large-scale magnetic field for parameters applicable to the conditions at young supernova remnants. We study the collision…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Jacek Niemiec , Martin Pohl , Antoine Bret , Volkmar Wieland

We study the permanent regimes of the reduced Vlasov-Maxwell system for laser-plasma interaction. A non-relativistic and two different relativistic models are investigated. We prove the existence of solutions where the distribution function…

Analysis of PDEs · Mathematics 2009-11-11 Mihai Bostan , Simon Labrunie

The current understanding of some important nonlinear collective processes in quantum plasmas with degenerate electrons is presented. After reviewing the basic properties of quantum plasmas, we present model equations (e.g. the quantum…

Plasma Physics · Physics 2015-05-20 P. K. Shukla , B. Eliasson

The plasma density grating induced by intersecting intense laser pulses can be utilized as an optical compressors, polarizers, waveplates and photonic crystals for the manipulation of ultra-high-power laser pulses. However, the formation…

Plasma Physics · Physics 2020-07-30 H. H. Ma , S. M. Weng , P. Li , X. F. Li , Y. X. Wang , S. H. Yew , M. Chen , P. McKenna , Z. M. Sheng

We study the interaction of highly nonlinear solitary waves in granular crystals, with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary…

Materials Science · Physics 2015-05-20 Jinkyu Yang , Claudio Silvestro , Devvrath Khatri , Luigi De Nardo , Chiara Daraio

An electromagnetic wave (EMW) interacting with the moving singularity of the charged particle flux undergoes the reflection and absorption as well as frequency change due to Doppler effect and nonlinearity. The singularity corresponding to…

Plasma Physics · Physics 2008-07-08 A. V. Panchenko , T. Zh. Esirkepov , A. S. Pirozhkov , M. Kando , F. F. Kamenets , S. V. Bulanov

The nonlinear interaction, due to quantum electrodynamical (QED) effects, between photons is investigated using a wave-kinetic description. Starting from a coherent wave description, we use the Wigner transform technique to obtain a set of…

Plasma Physics · Physics 2015-06-26 M. Marklund , P. K. Shukla , G. Brodin , L. Stenflo

Using simple kinematics, we propose a general theory of linear wave interactions between the interfacial waves of a two dimensional (2D), inviscid, multi-layered fluid system. The strength of our formalism is that one does not have to…

Fluid Dynamics · Physics 2017-04-05 Anirban Guha , Firdaus E. Udwadia