“…The fundamental physics behind the involved scattering mechanisms, however, lack a detailed explanation which is certainly very necessary for the possibility of amplifying XUV and x-ray coherent pulses at any desired photon energies. Different theoretical * carles.serrat-jurado@upc.edu approaches [9,10,12,14,15,17] have described the amplification in terms of extended electron trajectories in the HHG process together with parametric interactions, such as x-ray parametric amplification (XPA) and intra-XUV-pulse parametric amplification (IXPA), although only qualitative agreement with the measurements has been reported so far [8,9,12,13]. Some of these studies have been performed in the frame of the solution of the time-dependent Schrödinger equation (TDSE) both in the strong-field (SFA) and in the single-activeelectron (SAE) approximations.…”