The properties of electrosound waves at electron trapping

Abstract

The influence of electron trapping on the propagation of an electrosound wave is investigated. It is shown, that on the stage of modulational instability the trapped particles prevent the spatial localization of the HF field. Under certain conditions the trapped particles destroy the stationary soliton. For nonstationary envelope waves the nonlinearity, connected with trapped particles, leads to a Korteveg-de Vries equation.

Relativistic Electron-Cyclotron Waves in a Hot Plasma Channel with a Parabolic Density Profile

“…It has potential applications, such as particle and photon acceleration [1,2] and fast ignition in inertial connement fusion [3]. Relativistic solitons are electromagnetic structures, self-trapped by locally modied plasma refractive index, due to relativistic electron mass increase, and the electron density redistribution by the ponderomotive force of an intense laser pulse.…”

Electron trapping in the electrosound solitary wave for propagation of high intensity laser in a relativistic plasma

“…The influence of particle trapping in the propagation of a nonlinear wave has drawn much attention during the recent years [1][2][3]. It is known that if the intensity of the incident HF electromagnetic wave in a plasma is sufficiently high, the HF pressure force will modulate the plasma number density and generate an LF longitudinal wave and this LF field can capture the plasma electrons [1]. The electrons trapped by the longitudinal electric field play an important role in nonlinear wave dynamics in plasmas [4][5][6].…”

“…This means that for certain values of the parameters, the trapped electrons annihilate the soliton. Abbasi et al [1] used a kinetic theory in describing trapped particles dynamics and investigated their influence on the propagation of electrosound waves in a nonrelativistic plasma. In their study, in addition to finding the equation for the amplitude of the HF field, they presented an effective potential and checked the dependence of the potential on various values of the physical parameters.…”

“…In their study, in addition to finding the equation for the amplitude of the HF field, they presented an effective potential and checked the dependence of the potential on various values of the physical parameters. They showed that because of the existence of the trapped electrons, for certain values of the parameters, the condition of localization of the HF amplitude is violated and the soliton does not exist [1]. In most studies, people have worked in the nonrelativistic or weak relativistic limits [11][12][13][14][15][16].…”

Influence of particle trapping on the penetration of high-frequency electromagnetic field into a semibounded plasma

“…In this case it is necessary to take into account the trapping of those particles in the longitudinal wave. 4 The trapped particles have considerable influence on the nonlinear dynamics of lf waves in the plasma, [5][6][7][8] i.e., they determine the shape, velocity, and even the possibility of formation of those waves. In the adiabatic approximation, when the longitudinal lf field varies slowly compared to the fast vibration of the trapped particles in the well, the distribution function of the free and trapped particles are found in Refs.…”