Extensive modeling of the seeding of plasma-based soft X-ray lasers is reported\nin this article. Seminal experiments on amplification in plasmas created from solids have\nbeen studied in detail and explained. Using a transient collisional excitation scheme, we\nshow that a 18 Ã?µJ, 80 fs fully coherent pulse is achievable by using plasmas pumped by a\ncompact 10 Hz laser. We demonstrate that direct seeding of plasmas created by\nnanosecond lasers is not efficient. Therefore, we propose and fully study the transposition\nto soft X-rays of the Chirped Pulse Amplification (CPA) technique. Soft X-ray pulses with\nenergy of 6 mJ and 200 fs duration are reachable by seeding plasmas pumped by\ncompact 100 J, sub-ns, 1 shot/min lasers. These soft X-ray lasers would reach GW power,\ncorresponding to an increase of 100 times as compared to the highest peak power\nachievable nowadays in the soft X-ray region (30 eVââ?¬â??1 keV). X-ray CPA is opening new\nhorizon for soft x-ray ultra-intense sources.
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