Space-propagation model of Tm-doped fiber laser

In this paper, we propose the space-propagation model for the Tm-doped fiber laser. This model builds the space-propagation equations for the population densities at different energy levels as well as the pump and laser powers. Compared to the conventional models, this model has significant advantage in reducing the computing time significantly when the steady-state population density rate equations cannot be solved analytically. On the basis of the model, the power characteristic and optimization for the Tm-doped fiber laser are investigated. Excellent agreements are achieved between the numerical simulation and experimental results.