Relativistic x-ray quantum free-electron lasers

a collective Klein–Gordon model

Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.
Original languageEnglish
Article number124011
Number of pages7
JournalPlasma Physics and Controlled Fusion
Volume54
Issue number12
DOIs
Publication statusPublished - Dec 2012

Fingerprint

Free electron lasers
free electron lasers
Radiation
X rays
Electromagnetic waves
Electron beams
electromagnetic radiation
radiation
Scattering
Plasmas
Plasma stability
x rays
relativistic electron beams
electromagnetic scattering
Maxwell equations
Maxwell equation
Electromagnetic fields
electromagnetic fields
Electric fields
electron beams

Keywords

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

Cite this

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

In: Plasma Physics and Controlled Fusion, Vol. 54, No. 12, 124011, 12.2012.

Research output: Contribution to journalArticle

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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.

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