Abstract
The radiation generated in the soft-x-ray domain by spontaneous emission and amplified while propagating in a plasma column is investigated in the Maxwell-Bloch (MB) formalism. The MB theory is especially appropriate to describe the interaction between the medium and the lasing radiation in the saturation regime, and asymptotically yields the commonly used theory of the small-signal gain coefficient. We have examined the effect of spontaneously created magnetic fields on gain coefficients, integrated intensity, and steady-state population of quantum states. Our calculations are applied to the 0-1 and 2-1 radiations at 196 and 236 \AA{}, respectively, in collisionally pumped Ne-like germanium lasers. For these radiations and in our range of plasma parameters the Voigt function---accounting for the Zeeman splitting of the various sublevels associated with a given multiplet---provides accurate line shapes.
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