Saturation of backward stimulated scattering of laser in kinetic regime: Wavefront bowing, trapped particle modulational instability, and trapped particle self-focusing of plasma waves

2008 ◽  
Vol 15 (1) ◽  
pp. 013109 ◽  
Author(s):  
L. Yin ◽  
B. J. Albright ◽  
K. J. Bowers ◽  
W. Daughton ◽  
H. A. Rose
Keyword(s):  
Modulational Instability ◽  
Plasma Waves ◽  
Kinetic Regime ◽  
Stimulated Scattering ◽  
Self Focusing

On the mutual interaction of self-focusing and stimulated scattering

1995 ◽  
Vol 198 (3) ◽  
pp. 201-204 ◽  
Author(s):  
A.M. Rubenchik ◽  
E.G. Shapiro ◽  
S.K. Turitsyn
Keyword(s):  
Mutual Interaction ◽  
Stimulated Scattering ◽  
Self Focusing

scholarly journals Nonlinear evolution of Langmuir and electromagnetic pulses in a warm, unmagnetized plasma: modulational instability, integrability and self-focusing in 2 + 1 dimensions

1994 ◽  
Vol 52 (1) ◽  
pp. 75-90
Author(s):  
Ronald E. Kates ◽  
D. J. Kaup
Keyword(s):  
Nonlinear Evolution ◽  
Modulational Instability ◽  
Soliton Solutions ◽  
Integrable Case ◽  
Regime Parameter ◽  
Self Focusing ◽  
Long Time ◽  
Unmagnetized Plasma ◽  
Modulational Instabilities ◽  
Parameter Values

The nonlinear dynamics of wave envelopes modulated in 2 + 1 dimensions is considered for two systems in plasma physics: (i) Langmuir pulses and (ii) intense (but weakly relativistic) electromagnetic (EM) pulses. Using singular perturbation techniques applied to an envelope approximation, both problems are reduced to the two-dimensional nonlinear Schrödinger (2DNLS) system, which describes the dynamics of two coupled slowly varying potentials. The general 2DNLS system exhibits a rich variety of phenomena, including enhanced (compared with ‘longitudinal’ propagation) modulational stability and (1D) soliton formation; decay of 1D solitons over long time scales; self- focusing regimes (determined by a virial-type condition); as well as integrability and 2D solitons. Applying our recent results on the 2DNLS system, we determine which of these phenomena can actually occur here and compute the parameter regimes. (i) The 2DNLS system for the Zakharov equations is modulationally unstable for all parameter values. It also has an integrable sector and a self-focusing regime. (ii) The 2DNLS system describes coupled ‘longitudinal’ and ‘transverse’ modulations of linearly or circularly polarized EM pulses propagating through a warm unmagnetized two-component neutral plasma with arbitrary masses (i.e. electron—positron or electron—ion). The pulse can accelerate particles to weakly (but not fully) relativistic velocities; relativistic, ponderomotive and harmonic effects all contribute to the nonlinear terms. The resulting 2DNLS system does not admit a self-focusing regime. Parameter values leading to an integrable case (the so-called ‘Davey—Stewartson I’ equations, which admit 2D soliton solutions) are computed; however, the required values would not be attainable in a laboratory or astrophysical setting. None the less, the existence of new nonlinear modulational instabilities associated with the second spatial degree of freedom already represents an important potential limitation on any (1 + 1)-dimensional approach to nonlinear evolution and modulational instability of plasma EM waves.

Self-focusing instability of plasma waves excited by powerful HF radiation

1994 ◽  
Vol 195 (5-6) ◽  
pp. 362-368 ◽  
Author(s):  
A.V. Gurevich ◽  
A.N. Karashtin
Keyword(s):  
Plasma Waves ◽  
Self Focusing
Sign in / Sign up

Export Citation Format

Share Document