Instability and dynamics of two nonlinearly coupled laser beams in a plasma

P. K. Shukla, B. Eliasson, M. Marklund, L. Stenflo, I. Kourakis, M. Parviainen, M.E. Dieckmann

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The nonlinear interaction between two laser beams in a plasma is investigated in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schrödinger equations that are coupled with the slow plasma density response. A nonlinear dispersion relation is derived and used to study the growth rates of the Raman forward and backward scatteringinstabilities as well of the Brillouin and self-focusing/modulational instabilities. The nonlinear evolution of the instabilities is investigated by means of direct simulations of the time-dependent system of nonlinear equations.
Original languageEnglish
Article number053104
Number of pages7
JournalPhysics of Plasmas
Volume13
Issue number5
DOIs
Publication statusPublished - 10 May 2006

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nonlinear equations
laser beams
self focusing
plasma density
simulation
interactions

Keywords

  • instability
  • laser beams
  • plasma

Cite this

Shukla, P. K., Eliasson, B., Marklund, M., Stenflo, L., Kourakis, I., Parviainen, M., & Dieckmann, M. E. (2006). Instability and dynamics of two nonlinearly coupled laser beams in a plasma. Physics of Plasmas, 13(5), [053104]. https://doi.org/10.1063/1.2198205
Shukla, P. K. ; Eliasson, B. ; Marklund, M. ; Stenflo, L. ; Kourakis, I. ; Parviainen, M. ; Dieckmann, M.E. / Instability and dynamics of two nonlinearly coupled laser beams in a plasma. In: Physics of Plasmas. 2006 ; Vol. 13, No. 5.
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abstract = "The nonlinear interaction between two laser beams in a plasma is investigated in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schr{\"o}dinger equations that are coupled with the slow plasma density response. A nonlinear dispersion relation is derived and used to study the growth rates of the Raman forward and backward scatteringinstabilities as well of the Brillouin and self-focusing/modulational instabilities. The nonlinear evolution of the instabilities is investigated by means of direct simulations of the time-dependent system of nonlinear equations.",
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Shukla, PK, Eliasson, B, Marklund, M, Stenflo, L, Kourakis, I, Parviainen, M & Dieckmann, ME 2006, 'Instability and dynamics of two nonlinearly coupled laser beams in a plasma', Physics of Plasmas, vol. 13, no. 5, 053104. https://doi.org/10.1063/1.2198205

Instability and dynamics of two nonlinearly coupled laser beams in a plasma. / Shukla, P. K.; Eliasson, B.; Marklund, M.; Stenflo, L.; Kourakis, I.; Parviainen, M.; Dieckmann, M.E.

In: Physics of Plasmas, Vol. 13, No. 5, 053104, 10.05.2006.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Instability and dynamics of two nonlinearly coupled laser beams in a plasma

AU - Shukla, P. K.

AU - Eliasson, B.

AU - Marklund, M.

AU - Stenflo, L.

AU - Kourakis, I.

AU - Parviainen, M.

AU - Dieckmann, M.E.

PY - 2006/5/10

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N2 - The nonlinear interaction between two laser beams in a plasma is investigated in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schrödinger equations that are coupled with the slow plasma density response. A nonlinear dispersion relation is derived and used to study the growth rates of the Raman forward and backward scatteringinstabilities as well of the Brillouin and self-focusing/modulational instabilities. The nonlinear evolution of the instabilities is investigated by means of direct simulations of the time-dependent system of nonlinear equations.

AB - The nonlinear interaction between two laser beams in a plasma is investigated in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schrödinger equations that are coupled with the slow plasma density response. A nonlinear dispersion relation is derived and used to study the growth rates of the Raman forward and backward scatteringinstabilities as well of the Brillouin and self-focusing/modulational instabilities. The nonlinear evolution of the instabilities is investigated by means of direct simulations of the time-dependent system of nonlinear equations.

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Shukla PK, Eliasson B, Marklund M, Stenflo L, Kourakis I, Parviainen M et al. Instability and dynamics of two nonlinearly coupled laser beams in a plasma. Physics of Plasmas. 2006 May 10;13(5). 053104. https://doi.org/10.1063/1.2198205