### Abstract

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

Pages | 766-770 |

Number of pages | 5 |

Journal | Physics of Plasmas |

Volume | 11 |

Issue number | 2 |

Early online date | 20 Jan 2004 |

DOIs | |

Publication status | Published - Feb 2004 |

### Fingerprint

### Keywords

- plasma waves
- electromagnetic interactions
- plasma electromagnetic waves
- carrier generation
- conservation laws

### Cite this

*Physics of Plasmas*,

*11*(2), 766-770. https://doi.org/10.1063/1.1638753

}

*Physics of Plasmas*, vol. 11, no. 2, pp. 766-770. https://doi.org/10.1063/1.1638753

**Envelope equations and conservation laws describing wakefield generation and electron acceleration.** / Cairns, R. A.; Reitsma, A.; Bingham, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Envelope equations and conservation laws describing wakefield generation and electron acceleration

AU - Cairns, R. A.

AU - Reitsma, A.

AU - Bingham, R.

PY - 2004/2

Y1 - 2004/2

N2 - Previous authors have proposed various envelope equations to describe the behavior of an electromagnetic pulse generating a wakefield. In general these retain second-order derivatives, the reason being that the eikonal contains the initial wave frequency. Here it is shown that if the evolution of the wave frequency is followed using ray-tracing equations, a first-order evolution equation is obtained. It can be shown with this formalism that wave action is conserved and the energy lost from the electromagnetic wave can be explicitly accounted for in terms of energy gained by the plasma. The energy balance equations suggest that an electron bunch which will extract energy efficiently from a wakefield can be at least as efficiently accelerated by direct interaction with the electromagnetic pulse.

AB - Previous authors have proposed various envelope equations to describe the behavior of an electromagnetic pulse generating a wakefield. In general these retain second-order derivatives, the reason being that the eikonal contains the initial wave frequency. Here it is shown that if the evolution of the wave frequency is followed using ray-tracing equations, a first-order evolution equation is obtained. It can be shown with this formalism that wave action is conserved and the energy lost from the electromagnetic wave can be explicitly accounted for in terms of energy gained by the plasma. The energy balance equations suggest that an electron bunch which will extract energy efficiently from a wakefield can be at least as efficiently accelerated by direct interaction with the electromagnetic pulse.

KW - plasma waves

KW - electromagnetic interactions

KW - plasma electromagnetic waves

KW - carrier generation

KW - conservation laws

UR - http://scitation.aip.org/content/aip/journal/pop

U2 - 10.1063/1.1638753

DO - 10.1063/1.1638753

M3 - Article

VL - 11

SP - 766

EP - 770

JO - Physics of Plasmas

T2 - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 2

ER -