title: 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.
authors.affiliation: Institut für Theoretische Physik, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
authors.forename: Bengt
authors.initials: B
authors.lastname: Eliasson
authors.forename: P K
authors.initials: PK
authors.lastname: Shukla
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004583:Electrons; D007834:Lasers; D015233:Models, Statistical; D011789:Quantum Theory; D012542:Scattering, Radiation; D014965:X-Rays