### Abstract

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

Article number | 124011 |

Number of pages | 7 |

Journal | Plasma Physics and Controlled Fusion |

Volume | 54 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 2012 |

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### Keywords

- relativistic
- quantum free-electron lasers
- x-ray
- Klein–Gordon model

### Cite this

*Plasma Physics and Controlled Fusion*,

*54*(12), [124011]. https://doi.org/10.1088/0741-3335/54/12/124011

}

*Plasma Physics and Controlled Fusion*, vol. 54, no. 12, 124011. https://doi.org/10.1088/0741-3335/54/12/124011

**Relativistic x-ray quantum free-electron lasers : a collective Klein–Gordon model.** / Eliasson, Bengt; Shukla, Padma.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Relativistic x-ray quantum free-electron lasers

T2 - a collective Klein–Gordon model

AU - Eliasson, Bengt

AU - Shukla, Padma

PY - 2012/12

Y1 - 2012/12

N2 - We present a quantum-relativistic model for the nonlinear interaction between large-amplitude electromagnetic (EM) waves and a quantum plasma. The model is based on a collective Klein–Gordon equation for the relativistic electrons, which is coupled with the Maxwell equations for the EM and electrostatic fields. The model is used to derive a nonlinear dispersion relation for the EM scattering instabilities in a relativistic quantum plasma. With application to the quantum free-electron laser (FEL), a relativistic electron beam is passing through an intense EM wave used as a wiggler to produce coherent tunable radiation. The frequency upshift of the radiation is tuned by the energy of the electron beam. The nonlinear dispersion relation reveals the importance of quantum recoil effects and oblique scattering of the radiation on the gain of the quantum FEL.

AB - We present a quantum-relativistic model for the nonlinear interaction between large-amplitude electromagnetic (EM) waves and a quantum plasma. The model is based on a collective Klein–Gordon equation for the relativistic electrons, which is coupled with the Maxwell equations for the EM and electrostatic fields. The model is used to derive a nonlinear dispersion relation for the EM scattering instabilities in a relativistic quantum plasma. With application to the quantum free-electron laser (FEL), a relativistic electron beam is passing through an intense EM wave used as a wiggler to produce coherent tunable radiation. The frequency upshift of the radiation is tuned by the energy of the electron beam. The nonlinear dispersion relation reveals the importance of quantum recoil effects and oblique scattering of the radiation on the gain of the quantum FEL.

KW - relativistic

KW - quantum free-electron lasers

KW - x-ray

KW - Klein–Gordon model

UR - http://iopscience.iop.org/0741-3335/54/12/124011

U2 - 10.1088/0741-3335/54/12/124011

DO - 10.1088/0741-3335/54/12/124011

M3 - Article

VL - 54

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 12

M1 - 124011

ER -