### Abstract

The effects of spatial nonuniformities in the amplitude of a decaying finite-amplitude plasma wave are examined. It is found that the usually neglected, but experimentally important, initial damping (or growth) of the finite-amplitude wave may have important consequences upon the decay process. The mode-coupling equations are solved for both forward-scattering and back-scattering type decay processes. The latter case is particularly interesting, since both amplification in space, and instability in time, of the perturbed waves may occur in the presence of damping mechanisms. Calculations are presented which show that longitudinal waves with frequencies in the vicinity of cyclotron harmonics may be subject to such instabilities.

Original language | English |
---|---|

Pages (from-to) | 2054-2063 |

Number of pages | 10 |

Journal | Physics of Fluids |

Volume | 13 |

Issue number | 8 |

Publication status | Published - 1970 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Physics and Astronomy(all)
- Mechanics of Materials
- Computational Mechanics
- Fluid Flow and Transfer Processes

### Cite this

*Physics of Fluids*,

*13*(8), 2054-2063.

**Nonlinear decay and instability of a nonuniform finite-amplitude plasma wave.** / Porkolab, M.; Chang, Robert P. H.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 13, no. 8, pp. 2054-2063.

}

TY - JOUR

T1 - Nonlinear decay and instability of a nonuniform finite-amplitude plasma wave

AU - Porkolab, M.

AU - Chang, Robert P. H.

PY - 1970

Y1 - 1970

N2 - The effects of spatial nonuniformities in the amplitude of a decaying finite-amplitude plasma wave are examined. It is found that the usually neglected, but experimentally important, initial damping (or growth) of the finite-amplitude wave may have important consequences upon the decay process. The mode-coupling equations are solved for both forward-scattering and back-scattering type decay processes. The latter case is particularly interesting, since both amplification in space, and instability in time, of the perturbed waves may occur in the presence of damping mechanisms. Calculations are presented which show that longitudinal waves with frequencies in the vicinity of cyclotron harmonics may be subject to such instabilities.

AB - The effects of spatial nonuniformities in the amplitude of a decaying finite-amplitude plasma wave are examined. It is found that the usually neglected, but experimentally important, initial damping (or growth) of the finite-amplitude wave may have important consequences upon the decay process. The mode-coupling equations are solved for both forward-scattering and back-scattering type decay processes. The latter case is particularly interesting, since both amplification in space, and instability in time, of the perturbed waves may occur in the presence of damping mechanisms. Calculations are presented which show that longitudinal waves with frequencies in the vicinity of cyclotron harmonics may be subject to such instabilities.

UR - http://www.scopus.com/inward/record.url?scp=36849111426&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36849111426&partnerID=8YFLogxK

M3 - Article

VL - 13

SP - 2054

EP - 2063

JO - Physics of Fluids

JF - Physics of Fluids

SN - 0031-9171

IS - 8

ER -