Abstract
We examine a quantum optical model describing absorption of photons above an ionization threshold in multiphoton ionization. We calculate 12-photon ionization of the hydrogen atom by a strong, linearly polarized laser pulse. The angular momentum distribution of photoelectrons in the consecutive peaks depends on the intensity of the laser but reveals the presence of only a few of the lowest angular momenta. No ``peak switching'' is observed, but a finite-number-of-continua model becomes unstable at an intensity of \ensuremath{\sim}${10}^{\mathrm{\ensuremath{-}}3}$ a.u. (\ensuremath{\sim}${10}^{14}$ W/${\mathrm{cm}}^{2}$).
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