Abstract
The time-dependent complex coordinate Floquet method was developed for the study of nonlinear phenomena observed for atoms (or small molecules) in strong laser fields. On the basis of this method and by taking use of the special definition of the inner product for nonHermitian operators a simple time-independent expression for the probability to obtain high harmonics was derived. This novel formula is used to investigate the phenomenon of harmonic generation for a model potential representing a single electron in the presence of an intense laser field. The parameters of the one-dimensional potential are chosen to fit two electronic states of the xenon atom. Numerical results indicate the existence of a correlation between harmonic generation and other nonlinear effects occurring in this system such as avoided crossings of Floquet resonance states as the field strength amplitude is varied. The harmonic generation spectra obtained by the model presented here qualitatively agree with experimental results on rare gas atoms placed in strong laser fields.
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