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Title: Electron acceleration in combined laser and uniform electric fields
Authors: Salamin, Yousef I. 
Keitel, Christoph H. 
Faisal, Farhad H. M. 
Keywords: Equation of motion;Analytical solution;Electron accelerators;Electron beams;Supersonic nozzles;Laser plasmas
Issue Date: 2001
Publisher: Journal of Physics A: Mathematical and General
Abstract: An exact analytical solution for the equation of motion of a single relativistic electron, injected initially at some angle ξ to the propagation direction of a linearly polarized plane-wave laser field of arbitrary intensity and a uniform electric field oriented anti-parallel to the laser propagation direction, is developed. The solution is then used to investigate the issue of electron acceleration to high energies in the prescribed fields. It is found that, in principle, an electron may be accelerated from rest or motion to several hundred GeV, if the uniform electric field strength Es approaches a critical value Ec s = (m˜ωc)/(2πNe), where m and e are the mass and charge of the electron, c is the speed of light in vacuum, N is the number of field cycles in the pulse and ˜ω is the Doppler-shifted frequency of the laser field as seen by the electron upon initial injection. The radiation losses during acceleration are shown to be negligible and the spectrum of the radiation emitted along the initial direction of motion (parallel injection) of the electron is shown to consist mostly of the fundamental laser frequency.
DOI: 10.1088/0305-4470/34/13/312
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