Abstract
The population inversion between n =2 and 1 in hydrogen-like helium is calculated with a non-Maxwellian electron energy distribution in a plasma produced by optical field-induced ionization. Collisional relaxation of the electron energy distribution after passage of the laser pulse is followed by using a non-linear Fokker-Planck equation. In the low density regime the relaxation process plays an important role in limiting the population inversion, because the cold component of the electron distribution is reduced. A significant gain is obtained with a pulse length of less than 30 fs.
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