Analyses for lasing threshold at 2 and 1.5 m wavelengths in Tm:YVO4 crystal

Abstract

From transition-rate-equations and transmission-equations the formulas of threshold power are deduced for an end-pumped laser, in which the probability of cross-relaxation cannot be ignored and the nonradiative transition-probability of the excited state is the same order as the radiative transition-probability of upper level of the lasing transition. The lasing performance of Tm:YVO4 at = 1.9 and 1.5 m is discussed by dint of these equations of threshold power.