Combined model of laser rate equation and Ginzburg-Landau equation for pulsed thulium-doped fiber laser

Thulium-doped fiber laser is one of the most promising high power mid-infrared sources which attracts lots of attention recently. However, there is no comprehensive theoretical model which can be used for precise simulation of the performance of the pulsed Thulium-doped fiber laser. A combined theoretical model is proposed in this work by integrating the laser rate equation and Ginzburg-Landau equation into the iteration process. Good agreement between the experiments and simulations is achieved in a Thulium-doped fiber amplifier employing counter-pumping scheme.