Generation of wakefields and electromagnetic solitons in relativistic degenerate plasmas

Abstract

The nonlinear interaction of intense linearly polarized electromagnetic waves (EMWs) with longitudinal electron density perturbations is revisited in relativistic degenerate plasmas. The nonlinear dynamics of the EMWs and the longitudinal field, driven by the EMW ponderomotive force, is governed by a coupled set of nonlinear partial differential equations. A numerical simulation of these coupled equations reveals that the generation of wakefields is possible in weakly relativistic degenerate plasmas with $R_0\equiv p_F/mc\ll 1$ and $v_g/c\sim 1$, where $p_F$ is the Fermi momentum, $m$ is the mass of electrons, $c$ is the speed of light in vacuum, and $v_g$ is the EMW group velocity. However, when the ratio $v_g/c$ is reduced to $\sim 0.1$, the wakefield generation is suppressed, instead the longitudinal fields get localized to form soliton-like structures. On the other hand, in the regimes of moderate $(R_0\lesssim 1)$ or strong relativistic degeneracy $(R_0>1)$ with $v_g/c\sim 0.1$, only the EM solitons can be formed.

arXiv comment7 pages, 4 figures

References in corpus (12)

• Generating multi-GeV electron bunches using single stage laser wakefield acceleration in a 3D nonlinear regime
• Enhancement of electron energy to multi-GeV regime by a dual-stage laser-wakefield accelerator pumped by petawatt laser pulses
• Plasma Wakefield Acceleration for Ultrahigh Energy Cosmic Rays
• 9 GeV Energy Gain in a Beam-Driven Plasma Wakefield Accelerator
• Localized whistlers in magnetized spin quantum plasmas
• Generation of wakefields by whistlers in spin quantum magnetoplasmas
• Wakefield generation in magnetized plasmas
• Standing Electromagnetic Solitons in Degenerate Relativistic Plasmas
• Transition from wakefield generation to soliton formation
• Stimulated scattering instability in a relativistic plasma
• A New Type of Plasma Wakefield Accelerator Driven by Magnetowaves
• Modelling relativistic solitary wave interactions in over-dense plasmas: a perturbed nonlinear Schröndinger equation framework

Cited by in corpus (5)

• Modulation of electromagnetic waves in a relativistic degenerate plasma at finite temperature
• Stability of electromagnetic solitons]{Electromagnetic solitons and their stability in relativistic degenerate dense plasmas with two electron species
• Pattern formation and spatiotemporal chaos in relativistic degenerate plasmas
• Chaos in the dynamics of electromagnetic solitons in relativistic degenerate plasmas
• Stability and evolution of electromagnetic solitons in relativistic degenerate laser plasmas