Abstract
The role of the magnetic field of the laser pulse and the importance of relativistic corrections to the equations of motion in the recollision double ionization of He, Li${}^{+}$, and Be${}^{2+}$ are investigated within a classical trajectory model. It is found that the inclusion of the magnetic field is important even at intensities as low as ${10}^{15}$ W/cm${}^{2}$, but that the relativistic corrections proportional to $1/{c}^{2}$ have no impact on either total probabilities or final momentum spectra. Two field configurations with counterpropagating pulses, previously proposed to circumvent the detrimental effect of the magnetic field on the double-ionization probability, are compared with the single-pulse case.
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