Dynamic model and stability analysis of a laser using a nonlinear Fabry-Perot etalon as a cavity mirror

In this paper, we study a laser using a nonlinear Fabry-Perot etalon as a cavity mirror. First, using the semiclassical laser theory and the differential equation for the lossy nonlinear Fabry-Perot etalon, we develop dynamic equations describing this system for single-mode operation. In this model, the frequency-pulling effect, a finite response time of the nonlinear medium, and a finite-cavity round-trip time of the Fabry-Perot etalon are included. Second, based on this model, we analyze the stability of this laser and give some numerical results. Our results show that 1) this system can exist in the stable state and in the unstable state; 2) there are not only saddle-node bifurcations but also Hopf bifurcations; 3) the detuning parameter will effect the characteristics of the bistability and the number and distribution of Hopf bifurcation points