A description is given of detailed nonstationary multiwave kinetic model of a laser, based on Xe atom transitions with (lambda) equals 1.73, 2.03, 2.65, 2.63, 3.37 and 3.51 micrometers in He-Ar-Xe mixture pumped by a hard ionizer. The proposed kinetic model is tested against the results of experiments on e-beam and nuclear pumping of a Xe-laser containing pure Xe, binary and ternary mixtures. Numerical simulation showed that the processes of three-body recombination of Xe+ ions (He-Xe mixture), dissociative recombination of Xe2+ ions (pure Xe), dissociative recombination of ArXe+ ions and excitation by the electrons from Xe(6s') states play the main role in the pumping of upper active levels.
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