Abstract
The development in the field of X-ray laser and its applications at c-FAST is discussed in detail. First of all the recent progress in understanding of seeding X-ray laser with harmanics is presented. On the other hand, analysis of the kinetic processes by numerical simulations shows their dependence on the pump laser pulse structure. The latter cleary supports the thesis that multi-pulse pump schemes are more efficient that those based on two or single laser pump pulse. Finally such applications as coherent diffraction imaging and photoelectron spectroscopy constitute basis for practical use of X-ray lasers.
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