The process of ionization of a hydrogen atom by a short infrared laser pulse
is studied in the regime of very large pulse intensity, in the dipole
approximation. Let A denote the integral of the electric field of the pulse
over time at the location of the atomic nucleus. It is shown that, in the limit
where ∣A∣→∞, the ionization probability approaches unity and the
electron is ejected into a cone opening in the direction of −A and of
arbitrarily small opening angle. Asymptotics of various physical quantities in
∣A∣−1 is studied carefully. Our results are in qualitative agreement with
experimental data reported in \cite{1,2}.Comment: 27 pages, 1 figure