Relativistic X-Ray Free Electron Lasers in the Quantum Regime

Abstract

We present a nonlinear theory for relativistic X-ray free electron lasers in the quantum regime, using a collective Klein-Gordon (KG) equation (for relativistic electrons), which is coupled with the Maxwell-Poisson equations for the electromagnetic and electrostatic fields. In our model, an intense electromagnetic wave is used as a wiggler which interacts with a relativistic electron beam to produce coherent tunable radiation. The KG-Maxwell-Poisson model is used to derive a general nonlinear dispersion relation for parametric instabilities in three-space-dimensions, including an arbitrarily large amplitude electromagnetic wiggler field. The nonlinear dispersion relation reveals the importance of quantum recoil effects and oblique scattering of the radiation that can be tuned by varying the beam energy.

5 pages, 3 figures

References in corpus (3)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Relativistic Laser-Plasma Interactions in the Quantum Regime

Cited by in corpus (7)

• Theory for large amplitude electrostatic ion shocks in quantum plasmas
• Realizing Quantum free-electron lasers: A critical analysis of experimental challenges and theoretical limits
• A high-gain Quantum free-electron laser: emergence & exponential gain
• Wave dispersion derived from the square-root Klein-Gordon-Poisson system
• Pondermotive potential and Backward Raman Scattering in dense quantum plasmas
• Gamma-ray free-electron lasers: Quantum fluid model
• On the Relativistic Quantum Plasma