Models for multiphoton ionization processes

Using the Fourier transform method, several analytical models for multiphoton processes have been developed, which emphasize the non-perturbative regime of C-C transitions. It was found that the population trapping of continuum-continuum (C-C) transitions can occurs under general conditions: for two continua with energy-dependent matrix elements, and for an infinite number of structureless continua with coupled bands. A above-threshold ionization model with two-frequency smooth pulses for hydrogenic atom was first proposed. This model give a simple form for analytical solutions if an ionization threshold is negligible. The results predict that (a) there is no trapping or saturation of the bound-continuum transition and that the ionization rate is independent of the redistribution among the continua for the C-C matrix element chosen; (b) There are peak switch in photoelectron energy spectra which depends on not only redistribution laser intensity, but also the pulses shape and their overlap in time, as well as the coupling between the bound state and continua; (c) peaks about the ionization energy in the photoelectron spectra are symmetric and only appear during the ionization process; (d) as the laser intensity is increased, the total angular photoelectrons distribution peak strongly in forward and backward direction of the redistribution laser polarization; and the minima of this distribution are not zero for higher laser intensity. The photon spectrum is also investigated