Relativistic solitary waves with phase modulation embedded in long laser pulses in plasmas

Journal Article · Mon Aug 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3624498· OSTI ID:22043389

Sanchez-Arriaga, G; Siminos, E; Lefebvre, E ^[1]

---

1. CEA, DAM, DIF, 91297 Arpajon (France)

We investigate the existence of nonlinear phase-modulated relativistic solitary waves embedded in an infinitely long circularly polarized electromagnetic wave propagating through a plasma. These states are exact nonlinear solutions of the 1-dimensional Maxwell-fluid model for a cold plasma composed of electrons and ions. The solitary wave, which consists of an electromagnetic wave trapped in a self-generated Langmuir wave, presents a phase modulation when the group velocity V and the phase velocity V{sub ph} of the long circularly polarized electromagnetic wave do not match the condition VV{sub ph} = c{sup 2}. The main properties of the waves as a function of their group velocities, wavevectors, and frequencies are studied, as well as bifurcations of the dynamical system that describes the waves when the parameter controlling the phase modulation changes from zero to a finite value. Such a transition is illustrated in the limit of small amplitude waves where an analytical solution for a grey solitary wave exists. The solutions are interpreted as the stationary state after the collision of a long laser pulse with an isolated solitary wave.

• OSTI ID: 22043389
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLITUDES
ANALYTICAL SOLUTION
BIFURCATION
COLD PLASMA
COLLISIONS
ELECTROMAGNETIC RADIATION
ELECTRONS
FLUIDS
IONS
LASER RADIATION
LIGHT TRANSMISSION
MODULATION
PHASE VELOCITY
PULSES
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
SOLITONS
TRAPPING