Behavioral study of Ar x-ray lasers at 46.9 nm based on model of geometrically dependent gain coefficient

Abstract

There are many experimental measurements appeared in the literature, where the researchers reported their measured amplified spontaneous emission (ASE) output energies versus medium excitation lengths. In this paper we report on the ASE analyses, made based on using intensity rate equation along with the geometrically dependent gain coefficient (GDGC) model, for different measurements carried out in different laboratories under different experimental conditions. We show that the deduced gain coefficients follow a general equation of g0ν° (cm−1) = 0.37 + 11.51/lAMP, where lAMP is the medium excitation length. For this study at least 13 experimental measurements were analyzed. The method also revealed that we can obtain the behavior of gain coefficient with respect to input current. The optimum operational current is 30 kA, and the calculated intrinsic spectral linewidth for i = 21 kA is 55.67 mÅ. With the GDGC model, consequently, it can be concluded that Ne-like Ar x-ray lasers are unified, and method simplifies greatly the analyses of complicated systems.