Abstract. Effects of order v/c in the description of intense high-frequency laser pulses for above-threshold-ionization (ATI) of hydrogen atoms are included in the numerical integration of the time-dependent Schr6dinger equation. The magnetic field gives rise to a motion of the electron cloud along the propagation direction of the laser pulse. It is shown that this effect does not invalidate the recent findings of stabilization against photoionization, but modifies significantly the ATI spectra. The ATI spectrum becomes simpler again as the peak laser field reaches ulta-intense values.
PACS: 32.80.FkThe suppression of ionization in strong laser pulses has recently become an area of intense research. Such stability was found in one-dimensional models [1, 2], real hydrogen studies in the electric dipole approximation [3][4][5][6] and the mechanism was found to be particularly effective for excited states [7]. Recent studies focus also on the question of ATI spectra [5,6,8]. The study of atomic hydrogen in laser pulses is of great interest due to the absence of many-electron effects. Another motivation is the measurement of photoionization in hydrogen [9] which appears to rule out some versions of a widely used model of photoionization.These studies do not include the effects that arise from the magnetic field carried by the laser pulse even though this should be important as the Lorentz force moves the electron cloud away from the Coulomb center [10]. An exception is given by a semiclassical study [11] in which an ensemble of classical relativistic trajectories is used to calculate the time evolution of a (h = 0)-Wigner function. This study shows already that the stability against decay is not inhibited by the propagation along the pulse direction. It cannot, however, make correct statements * Permanent address: Physics Department, York University, Toronto, M3J 1P3, Canada about the electron spectra as it does not contain any phase information.We have made recently studies of ATI spectra for hydrogen exposed to intense laser pulses in the electric dipole approximation for photon energies where twophoton [5] and single-photon ionization [6] represent the dominant channels. The non-resonant high-frequency case is particularly interesting as the electron spectra are simple to interpret. In addition to the expected ATI-series out of the unshifted hydrogenic ground state we have observed weak peaks out of the AC stark shifted states. The appearance of such peaks was speculated upon on the basis of a high-frequency Floquet theory [12]. Our results in [6] show a broadening of the ATI peaks due to the finite interaction time during which the decay occurs (which is much shorter than the laser pulse and happens as the pulse intensity rises), but also a strong enhancement of the higher ATI peaks during the peak of the field. The additional peaks out of the Stark-shifted states are not present before the peak of the pulse is reached. The present investigation serves to find out how the strong field effects are modified as the...