Modulational instability of an axisymmetric state in a two-dimensional Kerr medium

1995 ◽  
Vol 52 (1) ◽  
pp. 1238-1240 ◽  
Author(s):  
Boris A. Malomed ◽  
Alexander A. Nepomnyashchy
Keyword(s):  
Modulational Instability ◽  
Kerr Medium ◽  
Two Dimensional ◽  
Axisymmetric State

Two-Dimensional Numerical Model for Studies of Collective Beam-Plasma Interaction

2010 ◽  
Vol 5 (2) ◽  
pp. 85-97
Author(s):  
Andrey V. Terekhov ◽  
Igor V. Timofeev ◽  
Konstantin V. Lotov
Keyword(s):  
Numerical Model ◽  
Electron Beams ◽  
Modulational Instability ◽  
Two Dimensional ◽  
Particle In Cell ◽  
Plasma Energy ◽  
Proposed Model ◽  
The Laplace Operator ◽  
Physical Phenomena ◽  
Powerful Electron

A two-dimensional particle-in-cell numerical model is developed to simulate collective relaxation of powerful electron beams in plasmas. To increase the efficiency of parallel particle-in-cell simulations on supercomputers, the Dichotomy Algorithm is used for inversion of the Laplace operator. The proposed model is tested with several well-known physical phenomena and is shown to adequately simulate basic effects of the beam driven turbulence. Also, the modulational instability is studied in the regime when the energy of pumping wave significantly exceeds the thermal plasma energy

scholarly journals Two-dimensional modulational instability in photorefractive media

2004 ◽  
Vol 6 (5) ◽  
pp. S397-S403 ◽  
Author(s):  
M Saffman ◽  
Glen McCarthy ◽  
Wieslaw Królikowski
Keyword(s):  
Modulational Instability ◽  
Two Dimensional

scholarly journals Two-dimensional semi-Lagrangian Vlasov simulations of laser–plasma interaction in the relativistic regime

1999 ◽  
Vol 62 (4) ◽  
pp. 367-388 ◽  
Author(s):  
M. L. BÉGUÉ ◽  
A. GHIZZO ◽  
P. BERTRAND ◽  
E. SONNENDRÜCKER ◽  
O. COULAUD
Keyword(s):  
Phase Space ◽  
Modulational Instability ◽  
Particle Dynamics ◽  
Two Dimensional ◽  
Nonlinear Saturation ◽  
Laser Plasma Interaction ◽  
Relativistic Regime ◽  
Coherent Vortex ◽  
Instability Growth ◽  
Good Agreement

A semi-Lagrangian two-dimensional fully relativistic Vlasov code for multicomputer environments is developed to study trapped-particle dynamics in phase space induced by relativistic modulational and Raman instabilities. Attention is focused on the efficiency properties of the numerical scheme, which allows a very fine description of particle dynamics in phase space. Vlasov simulations show the appearance of coherent vortex structures as a result of the nonlinear saturation mechanism of the relativistic modulational instability. Growth rates are computed and found to be in good agreement with theoretical values obtained from the dispersion relation by Quesnel et al, [Phys. Plasmas4, 3358–3368 (1997)] and Guérin et al. [Phys. Plasmas2, 2807–2814 (1995)]. In the case of coupling between the relativistic modulational instability and two-plasmon decay, stochastic behaviour can be observed due to the competition between different plasmas waves.

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