Abstract: In this paper we study the laser system in which the output mirror is an optical bistable device formed by a nonlinear Fabry-Perot etalon. Based on the semiclassical dynamical model for this laser system, we analyze the stability and the dynamic response of this system by using the linear stability analysis and the numerical solving the differential equations of this system. From the linear stability analysis, we obtain that in this system (1) there are not only the saddle-node bifurcation but also the hopf bifurcation; (2) there may be at most three operating points where the hopf bifurcation will occur; (3) the relative initial phase shift and the detuning parameter will effect the number and distribution of the hopf bifurcation points. From the second method, we give how the variables of this system change with time when a perturbation occurs in the system (or an external optical pulse is inputed into the laser) and the results show that this system may be switched from one stable state to another by optical method. The results given by two methods are coincident.!10
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