Browsing by Author "BaimenshinaG.K."

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    QUALITATIVE AND NUMERICAL ANALYSIS OF LASERMODEL WITH OPTICAL INJECTION
    (Suleyman Demirel University, 2016) BaimenshinaG.K.; Aipenova A.; Kumekov S.E.
    The nonlinear processes plays important role in the development of new communication systems and computing elements. Understanding of laser instabilities is necessary for developing control techniques. From a dynamical systems point of view, semiconductor laser systems are very attractive due to the fact that they show an intriguing variety of complicated dynamics. Lasers including semiconductor, solid state with the additional external perturbation produce temporal and spatial instability. An optical injection is an example of such perturbation. External perturbations may destabilize or induce the sustain intensity oscillation. In this paper, we study the dynamics of a semiconductor laser with optical injection. The time behavior of solutions of a system of three coupled nonlinear rate equations, describing the electric field amplitude and the carrier concentration and the phase difference within the resonator, is discussed both qualitatively and numerically. We then concentrate on the periodic orbits that emanate from Hopf bifurcations. Depending on the injection strength and the phase difference, two types of oscillations can be found, such as relaxation and periodic oscillations.