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The dynamics of electrons ionized from high charge states by lasers with intensity >10²⁰ W/cm² have been studied. At these intensities v×B forces drive the electrons subsequent to ionization in a trajectory nearly parallel to the laser propagation direction. This gives rise to large energy gains as the electron rides in phase with the laser field over a long distance. Monte Carlo simulations illustrate that, unlike in case of ionization in sub- and near-relativistic intensity fields (<10¹⁹ W/cm²), the electron dynamics in the ultrarelativistic case are strongly influenced by the longitudinal electric fields found near the focus of a tightly focused laser.
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Alexander S. Maltsev (2003) studied this question.
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