Quasi-classical model of electron rescattering in fields of intense infrared and weak high-frequency laser pulses

We study the influence of a weak high-frequency [in the extreme ultraviolet (XUV) region] laser pulse on the mechanism of electron rescattering on the parent ion in the processes of high harmonic generation and above-threshold ionisation induced by an intense infrared (IR) laser field. Two scenarios of the three-step rescattering are discussed: with the absorption of the XUV photon at the ionisation step of an atom and with the absorption/emission of a XUV photon at the moment of recombination or scattering of the electron returned by the IR field to the parent ion. Estimates are obtained for the high-energy plateau cutoff positions in the spectra of harmonic generation and above-threshold ionisation.