Abstract
It is well known that during a certain interval of time, a molecule of gas in the beam path from the pump laser (master) to the injected laser (slave) can decrease the power injected [1]. In this contribution, we consider a well-known rate equation model of semiconductor laser to explore numerically the effect of a periodic perturbation from the pump laser (master) on the dynamical behavior of the injected laser (slave). Using nonlinear diagnostic tools such bifurcation diagrams, graph of maximum Lyapunov exponent, phase portraits, Poincare sections, basin of attraction and two parameter diagrams, the dynamical behavior of the model is analyzed in terms of its parameters. The coexistence of periodic and chaotic attractors as well as the occurrence of ten different attractors (symmetric and asymmetric) and transient chaos are demonstrated. Finally, PSpice simulations are performed to support numerical results.
Highlights
With help of some dynamical analysis tools, several phenomena including physical, social and economic have been modeled
In the same research way, semiconductor lasers with optical injection have received a lot of investigation
1982 [11] realized the noise equivalent circuit of a semiconductor laser diode which is derived from the rate equations subject to Langevin noise
Summary
With help of some dynamical analysis tools, several phenomena including physical, social and economic have been modeled. 1991[7] reported complex phenomena in Chua’s circuit subject to external sinusoidal signal He revealed several phenomena in this circuit including period doubling, quasi periodicity, intermittency and coexistence of multiple attractors. 2017 [13] study experimentally an excitable semiconductor laser optically injected in neuron like excitable regime He underlined the existence of a refractory period during which perturbations are not able to elicit an excitable response. 2014 [15] investigated the effect of coherent single frequency injection on two-section semiconductor lasers He reported some phenomena including bistability and hysteresis. 2013 [16] reported that, if the slave laser provides sufficient frequency filtering the, selective injection locking of Thiery Tchinda et al.: Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a
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