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We study a model for frustrated tunneling ionization using ultrashort laserpulses. The model is based on the strong field approximation and it employs thesaddle point approximation to predict quasiclassical trajectories that arecaptured on Rydberg states. We present a classification of the saddle-pointsolutions and explore their behavior as functions of angular momentum of thefinal state, as well as the carrier--envelope phase (CEP) of the laser pulse.We compare the final state population computed by the model to results obtainedby numerical propagation of the time-dependent Schr\"odinger equation (TDSE)for the hydrogen atom. While we find qualitative agreement in the CEPdependence of the populations in principal quantum numbers, $n$, thepopulations to individual angular momentum channels, $\ell$, are found to beinconsistent between model and TDSE. Thus, our results show that improvementsof the quasiclassical trajectories are in order for a quantitative model offrustrated tunneling ionizaiton.

Frustrated tunneling dynamics in ultrashort laser pulses