On the nonlinear development of the filamentation of an electromagnetic wave in a plasma

R Bingham, C N Lashmore-Davies

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The problem of the filamentation of an electromagnetic wave in a plasma has been formulated in terms of the nonlinear interaction between the initial plane electromagnetic wave, the Stokes, and anti-Stokes electromagnetic waves and a density perturbation. Since a perturbation procedure is used the analysis is limited to situations where the total pump wave energy density is a small fraction of the energy density in the undisturbed plasma. A crucial ingredient of the problem is the frequency mis-match between the interacting waves although only those waves are included which satisfy perfect k-matching. The pump wave is treated on the same footing as the other electromagnetic waves and these waves are treated as distinct throughout the interaction. When the pump amplitude is assumed to remain constant the equations yield the linear threshold and growth rate. By neglecting ion inertia, three coupled nonlinear equations (with cubic nonlinearities) are obtained for the initial, Stokes and anti-Stokes electromagnetic waves. These equations have been solved analytically under various assumptions.
LanguageEnglish
Article number002
Pages433-453
Number of pages21
JournalPlasma Physics
Volume21
Issue number5
DOIs
Publication statusPublished - May 1979

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Electromagnetic waves
electromagnetic radiation
Plasmas
Pumps
pumps
flux density
perturbation
Nonlinear equations
ingredients
inertia
nonlinear equations
nonlinearity
interactions
thresholds
Ions
ions

Keywords

  • electromagnetic waves
  • plasma simulation
  • nonlinear phenomena
  • waves
  • wave propagation

Cite this

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abstract = "The problem of the filamentation of an electromagnetic wave in a plasma has been formulated in terms of the nonlinear interaction between the initial plane electromagnetic wave, the Stokes, and anti-Stokes electromagnetic waves and a density perturbation. Since a perturbation procedure is used the analysis is limited to situations where the total pump wave energy density is a small fraction of the energy density in the undisturbed plasma. A crucial ingredient of the problem is the frequency mis-match between the interacting waves although only those waves are included which satisfy perfect k-matching. The pump wave is treated on the same footing as the other electromagnetic waves and these waves are treated as distinct throughout the interaction. When the pump amplitude is assumed to remain constant the equations yield the linear threshold and growth rate. By neglecting ion inertia, three coupled nonlinear equations (with cubic nonlinearities) are obtained for the initial, Stokes and anti-Stokes electromagnetic waves. These equations have been solved analytically under various assumptions.",
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On the nonlinear development of the filamentation of an electromagnetic wave in a plasma. / Bingham, R; Lashmore-Davies, C N.

In: Plasma Physics, Vol. 21, No. 5, 002, 05.1979, p. 433-453.

Research output: Contribution to journalArticle

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