Multiphoton Ionization as Time–Dependent Tunneling

A new semiclassical approach to ionization by an oscillating field is presented. For a δ–function atom, an asymptotic analysis is performed with respect to a quantity h, defined as the ratio of photon energy to ponderomotive energy. This h appears formally equivalent to Planck’s constant in a suitably transformed Schrödinger equation and allows semiclassical methods to be applicable. Systematically, a picture of tunneling wave packets in complex time is developped, which by interference account for the typical ponderomotive features of ionization curves. These analytical results are then compared to numerical simulations [1] and are shown to be in good agreement. ∗e-mail: [email protected]