### Abstract

Language | English |
---|---|

Pages | 24-30 |

Number of pages | 7 |

Journal | Physica Scripta |

Volume | 1990 |

Issue number | T30 |

DOIs | |

Publication status | Published - 1 Jan 1990 |

### Fingerprint

### Keywords

- physics
- plasma physics
- modulational instabilities
- electrostatic waves
- electromagnetic waves

### Cite this

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*Physica Scripta*, vol. 1990, no. T30, pp. 24-30. https://doi.org/10.1088/0031-8949/1990/T30/004

**Modulational instabilities of electromagnetic and electrostatic waves in plasmas.** / Bingham, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Modulational instabilities of electromagnetic and electrostatic waves in plasmas

AU - Bingham, R

PY - 1990/1/1

Y1 - 1990/1/1

N2 - A general discussion of modulational instabilities in plasmas is presented. It is shown that the basic mechanism is a four-wave interaction which tends to increase the wavenumber k of the wave in contrast to the usual three-wave decay or scattering processes which tend to reduce the k-spectrum of the waves. Examples include the Langmuir modulational instability, filamentation of both electrostatic and electromagnetic waves and the oscillating two stream instability. General equations for the modulation of finite amplitude, high frequency waves in unmagnetised plasmas are given. The stability properties of the linearised equations and the conservation relations of the nonlinear equations are obtained. Finally modulational instabilities relevant to beat wave studies are discussed.

AB - A general discussion of modulational instabilities in plasmas is presented. It is shown that the basic mechanism is a four-wave interaction which tends to increase the wavenumber k of the wave in contrast to the usual three-wave decay or scattering processes which tend to reduce the k-spectrum of the waves. Examples include the Langmuir modulational instability, filamentation of both electrostatic and electromagnetic waves and the oscillating two stream instability. General equations for the modulation of finite amplitude, high frequency waves in unmagnetised plasmas are given. The stability properties of the linearised equations and the conservation relations of the nonlinear equations are obtained. Finally modulational instabilities relevant to beat wave studies are discussed.

KW - physics

KW - plasma physics

KW - modulational instabilities

KW - electrostatic waves

KW - electromagnetic waves

U2 - 10.1088/0031-8949/1990/T30/004

DO - 10.1088/0031-8949/1990/T30/004

M3 - Article

VL - 1990

SP - 24

EP - 30

JO - Physica Scripta

T2 - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - T30

ER -