### Abstract

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

Article number | 002 |

Pages | 433-453 |

Number of pages | 21 |

Journal | Plasma Physics |

Volume | 21 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 1979 |

### Fingerprint

### Keywords

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

### Cite this

*Plasma Physics*,

*21*(5), 433-453. [002]. https://doi.org/10.1088/0032-1028/21/5/002

}

*Plasma Physics*, vol. 21, no. 5, 002, pp. 433-453. https://doi.org/10.1088/0032-1028/21/5/002

**On the nonlinear development of the filamentation of an electromagnetic wave in a plasma.** / Bingham, R; Lashmore-Davies, C N.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On the nonlinear development of the filamentation of an electromagnetic wave in a plasma

AU - Bingham, R

AU - Lashmore-Davies, C N

PY - 1979/5

Y1 - 1979/5

N2 - 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.

AB - 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.

KW - electromagnetic waves

KW - plasma simulation

KW - nonlinear phenomena

KW - waves

KW - wave propagation

UR - http://iopscience.iop.org/0032-1028

U2 - 10.1088/0032-1028/21/5/002

DO - 10.1088/0032-1028/21/5/002

M3 - Article

VL - 21

SP - 433

EP - 453

JO - Plasma Physics

T2 - Plasma Physics

JF - Plasma Physics

SN - 0032-1028

IS - 5

M1 - 002

ER -