Abstract

The dynamical behavior of a green-emitting upconversion-pumped Er(0.5 at.%):YAG laser with reabsorption losses by an excited-state absorption process is studied. Stability analysis is used to identify the various regimes of laser emission and the bifurcations leading to them. The results are illustrated by Runge–Kutta integration of the rate equations. An analytical expression of the laser threshold is also presented. Calculated values of the laser threshold and experimental results available in the literature are discussed. The model can be applied to the prediction and enhancement of the performances of the green ${\mathrm{Er}}^{3+}$ upconversion lasers.

© 2004 Optical Society of America

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