Title :
Dynamic model and stability analysis of a laser using a nonlinear Fabry-Perot etalon as a cavity mirror
Author :
Shenping, Li ; Pons, Ramon ; Yizhou, Zhang
Author_Institution :
Dept. de Fisica, Univ. Autonoma de Barcelona, Spain
fDate :
8/1/1994 12:00:00 AM
Abstract :
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
Keywords :
bifurcation; differential equations; laser accessories; laser cavity resonators; laser modes; laser theory; mirrors; modelling; nonlinear optics; optical bistability; Hopf bifurcation points; bistability; cavity mirror; detuning parameter; differential equation; dynamic equations; dynamic model; finite response time; finite-cavity round-trip time; frequency-pulling effect; nonlinear Fabry-Perot etalon; nonlinear medium; saddle-node bifurcations; semiclassical laser theory; single-mode operation; stability analysis; stable state; unstable state; Bifurcation; Differential equations; Fabry-Perot; Laser modes; Laser stability; Laser theory; Mirrors; Nonlinear dynamical systems; Nonlinear equations; Stability analysis;
Journal_Title :
Quantum Electronics, IEEE Journal of
