Relativistic breather-like solitary waves with linear polarization in cold plasmas

Abstract

Linearly polarized solitary waves, arising from the interaction of an intense laser pulse with a plasma, are investigated. New localized structures, in the form of exact \Changes{numerical} nonlinear solutions of the one-dimensional Maxwell-fluid model for a cold plasma with fixed ions are presented. Unlike stationary circularly polarized solitary waves, the linear polarization gives rise to a breather-like behavior and a periodic exchange of electromagnetic energy and electron kinetic energy at twice the frequency of the wave. A numerical method based on a finite-differences scheme allows to compute a branch of solutions within the frequency range ${\Omega }_{min}<\Omega <{\omega }_{pe}$, where ${\omega }_{pe}$ and ${\Omega }_{min}$ are the electron plasma frequency and the frequency value for which the plasma density vanishes locally, respectively. A detailed description of the spatio-temporal structure of the waves and their main properties as a function of $\Omega$ are presented. Direct numerical simulations of the Maxwell-fluid model show that these solitary waves propagate without change for a long time.

arXiv comment10 pages, 9 figures, added new material

References in corpus (9)

• Three Dimensional Relativistic Electromagnetic Sub-cycle Solitons
• Dynamics of relativistic solitons
• Observation of post-soliton expansion following laser propagation through an underdense plasma
• Solitary versus Shock Wave Acceleration in Laser-Plasma Interactions
• Anticorrelation between Ion Acceleration and Nonlinear Coherent Structures from Laser-Underdense Plasma Interaction
• Self-guiding of 100 TW Femtosecond Laser Pulses in Centimeter-scale Underdense Plasma
• Relativistic solitary waves modulating long laser pulses in plasmas
• The breather like penetration of the ultra-short linearly polarized laser into over-dense plasmas
• Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework

Cited by in corpus (4)

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• Modulation of electromagnetic waves in a relativistic degenerate plasma at finite temperature
• Observation of 1-D time dependent non-propagating laser plasma structures using Fluid and PIC codes
• Relativistic quasi-solitons and embedded solitons with circular polarization in cold plasmas