Multiphoton ionization of hydrogen atoms by a strong multimode field when several final continuum states are populated is treated theoretically within a model based on the S-matrix formalism. The field is taken in dipole approximation, with zero bandwidth. Field-dressed Coulomb wave functions are used for the electron final states. Ionization rates are calculated for different numbers of photons absorbed in excess of the minimum number required to go into the continuum. In general, the calculated quantities are in good qualitative agreement with the corresponding experimental observations.
A calculation of the N-photon ionization cross sections with N=2,3,4,5 in the frequency interval 0.0980.165 (atomic units) for sodium has been performed using a procedure described by Pan [J. Mod. Opt. 36, 877 (1989)]. The final-state wave function represents the Volkov-like continuum, distorted by the atomic potential, while the initial state is described by the rotating-wave approximation with the inclusion of the ground-state 3s and two excited p states. The cross sections were calculated for two kinds of initial conditions: instantaneous and adiabatic switching of radiation. The results of the calculation with the distorted continuum wave functions representing the final state were compared to those obtained from Coulomb and plane-wave functions.
The strong-field multiphoton ionization of atoms is considered and a theoretical approach dealing nonperturbatively with the radiation field formulated. The general computational scheme is the conventional perturbation theory, but the intermediate states are dressed by the field. We present in detail a method to dress the continuum states and to study the dipole transitions within the continuum. In the high-frequency domain, the proposed procedure rapidly converges over a wide range of field intensity and offers an interesting framework for calculating ionization rates for arbitrary numbers of absorbed (above-threshold) photons and field polarization.