Exact analysis of ultrahigh laser-induced acceleration of electrons by cyclotron autoresonance - art. no. 053809

We study the relativistic dynamics of a single electron in a plane-wave las er field and a static magnetic field oriented along the laser propagation d irection. A set of exact solutions, that demonstrate acceleration to TeV en ergies in vacuum by the mechanism of resonance between the electron cyclotr on frequency and the Doppler-shifted laser frequency, is presented. Forward velocity focusing is demonstrated, the radiation losses are shown to be ne gligible, and the frequency distribution of the weak radiation scattered by the electron undergoing the acceleration is discussed.