Exact field ionization rates in the barrier suppression-regime from   numerical TDSE calculations
  Numerically determined ionization rates for the field ionization of atomic hydrogen in strong and short laser pulses are presented. The laser pulse intensity reaches the so-called "barrier suppression ionization" regime where field ionization occurs within a few half laser cycles. Comparison of our numerical results with analytical theories frequently used shows poor agreement. An empirical formula for the "barrier suppression ionization"-rate is presented. This rate reproduces very well the course of the numerically determined ground state populations for laser pulses with different length, shape, amplitude, and frequency.   Number(s): 32.80.Rm 
D. Bauer, P. Mulser (TQE, Darmstadt University of Technology, Germany)