Self-modulation and filamentation of electromagnetic waves in a plasma

R. Bingham, C.N. Lashmore-Davies

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Self-modulation and filamentation of an electromagnetic wave is considered as a problem of the nonlinear interaction between electromagnetic and ion waves. A new electro-magnetic modulational instability is obtained, whose threshold is the same as that of the oscillating two-stream instability. A simple geometrical model is given of filamentation when the non-linearity is due to the ponderomotive force. The relationship between the filamentation and electromagnetic modulational instabilities and other parametric instabilities is considered. In particular, it is shown that both electromagnetic modulational and filamentation instabilities can occur at the critical density where they have the same threshold as the modulational instability of a Langmuir wave. Finally, a conservation relation (a generalization of the Manley-Rowe relation) for the wave action density is obtained for the filamentation instability. This shows clearly that this instability results from a four wave interaction.
LanguageEnglish
Pages67-72
Number of pages6
JournalNuclear Fusion
Volume16
Issue number1
DOIs
Publication statusPublished - Feb 1976

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electromagnetic radiation
modulation
electromagnetism
ponderomotive forces
thresholds
wave interaction
conservation
nonlinearity
ions
interactions

Keywords

  • electromagnetic waves
  • plasmas
  • macroinstabilities
  • microinstabilities
  • electrostatic waves and oscillations
  • nonlinear phenomena
  • propagation in plasma
  • nuclear energy
  • fusion reactions

Cite this

Bingham, R. ; Lashmore-Davies, C.N. / Self-modulation and filamentation of electromagnetic waves in a plasma. In: Nuclear Fusion. 1976 ; Vol. 16, No. 1. pp. 67-72.
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Self-modulation and filamentation of electromagnetic waves in a plasma. / Bingham, R.; Lashmore-Davies, C.N.

In: Nuclear Fusion, Vol. 16, No. 1, 02.1976, p. 67-72.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Self-modulation and filamentation of electromagnetic waves in a plasma

AU - Bingham, R.

AU - Lashmore-Davies, C.N.

PY - 1976/2

Y1 - 1976/2

N2 - Self-modulation and filamentation of an electromagnetic wave is considered as a problem of the nonlinear interaction between electromagnetic and ion waves. A new electro-magnetic modulational instability is obtained, whose threshold is the same as that of the oscillating two-stream instability. A simple geometrical model is given of filamentation when the non-linearity is due to the ponderomotive force. The relationship between the filamentation and electromagnetic modulational instabilities and other parametric instabilities is considered. In particular, it is shown that both electromagnetic modulational and filamentation instabilities can occur at the critical density where they have the same threshold as the modulational instability of a Langmuir wave. Finally, a conservation relation (a generalization of the Manley-Rowe relation) for the wave action density is obtained for the filamentation instability. This shows clearly that this instability results from a four wave interaction.

AB - Self-modulation and filamentation of an electromagnetic wave is considered as a problem of the nonlinear interaction between electromagnetic and ion waves. A new electro-magnetic modulational instability is obtained, whose threshold is the same as that of the oscillating two-stream instability. A simple geometrical model is given of filamentation when the non-linearity is due to the ponderomotive force. The relationship between the filamentation and electromagnetic modulational instabilities and other parametric instabilities is considered. In particular, it is shown that both electromagnetic modulational and filamentation instabilities can occur at the critical density where they have the same threshold as the modulational instability of a Langmuir wave. Finally, a conservation relation (a generalization of the Manley-Rowe relation) for the wave action density is obtained for the filamentation instability. This shows clearly that this instability results from a four wave interaction.

KW - electromagnetic waves

KW - plasmas

KW - macroinstabilities

KW - microinstabilities

KW - electrostatic waves and oscillations

KW - nonlinear phenomena

KW - propagation in plasma

KW - nuclear energy

KW - fusion reactions

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