Perturbative wave-mixing and amplification in the extreme ultraviolet region

We report the investigation of the wave-mixing and amplification process with two multiple-cycle pulses with incommensurate frequencies (at 1400 nm and 800 nm). With a non-collinear configuration of the two beams, a different extreme ultraviolet mixing field can be created at low intensity of the 800 nm field. When a very high intensity 800 nm pulse is applied we are able to amplify the coherent extreme ultraviolet radiation in the photon energy range around 80 eV.