Gl. Strobel et al., SYSTEMATICS OF INNER-SHELL PHOTOIONIZATION X-RAY LASERS WITH CONSTANTPUMP RATES, Applied physics. B, Lasers and optics, 60(6), 1995, pp. 513-518
Population-rate equations are analytically solved for constant pump ra
tes. Conditions for population inversions are developed for this simpl
ified case. Numbers appropriate for inner-shell photo-ionization of ma
gnesium and neon are used. These allow back-of-the envelope calculatio
ns for predicting lasing duration. Pump-rate thresholds are also given
which permit lasing for the duration of the pumping. Blackbody-source
temperatures associated with such pump rates are calculated. A method
of using the solution of the small-signal population-rate equations t
o determine the saturated intensity when the lower lasing level has a
decay channel is given. This method is applied to the case of constant
pump rates. An analytic expression for the saturated intensity is dev
eloped for this case.