### Abstract

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

Pages (from-to) | 230-237 |

Number of pages | 8 |

Journal | Physics of Fluids B-Plasma Physics |

Volume | 1 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 1989 |

### Fingerprint

### Keywords

- waves
- modulational instability
- beat-wave accelerator
- particle acceleration

### Cite this

*Physics of Fluids B-Plasma Physics*,

*1*(1), 230-237. https://doi.org/10.1063/1.859095

}

*Physics of Fluids B-Plasma Physics*, vol. 1, no. 1, pp. 230-237. https://doi.org/10.1063/1.859095

**The modulational instability of coupled waves.** / McKinstrie, C. J.; Bingham, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The modulational instability of coupled waves

AU - McKinstrie, C. J.

AU - Bingham, R.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - The collinear propagation of an arbitrary number of finite‐amplitude waves is modeled by a system of coupled nonlinear Schrödinger equations; one equation for each complex wave amplitude. In general, the waves are modulationally unstable with a maximal growth rate larger than the modulational growth rate of any wave alone. Moreover, waves that are modulationally stable by themselves can be driven unstable by the nonlinear coupling. The general theory is then applied to the relativistic modulational instability of two laser beams in a beat‐wave accelerator. For parameters typical of a proposed beat‐wave accelerator, this instability can seriously distort the incident laser pulse shapes on the particle‐acceleration time scale, with detrimental consequences for particle acceleration.

AB - The collinear propagation of an arbitrary number of finite‐amplitude waves is modeled by a system of coupled nonlinear Schrödinger equations; one equation for each complex wave amplitude. In general, the waves are modulationally unstable with a maximal growth rate larger than the modulational growth rate of any wave alone. Moreover, waves that are modulationally stable by themselves can be driven unstable by the nonlinear coupling. The general theory is then applied to the relativistic modulational instability of two laser beams in a beat‐wave accelerator. For parameters typical of a proposed beat‐wave accelerator, this instability can seriously distort the incident laser pulse shapes on the particle‐acceleration time scale, with detrimental consequences for particle acceleration.

KW - waves

KW - modulational instability

KW - beat-wave accelerator

KW - particle acceleration

U2 - 10.1063/1.859095

DO - 10.1063/1.859095

M3 - Article

VL - 1

SP - 230

EP - 237

JO - Physics of Fluids B

JF - Physics of Fluids B

SN - 0899-8221

IS - 1

ER -