Publications by authors named "B Z Essimbi"
We report on high intensity and frequency modulations (IM-FM) through various infinite pulse trains derived from the dynamics of a modified rate equations laser system endowed with an additional control parameter (γ), wherein a direct modulation of the injection current is performed. Analytical and numerical investigations showcase the significant impact of the additional control parameter on the enhancement of the relaxation frequency and a resizing of the modulation bandwidth through a full control of the modulation peak. In this way, linear stability of the new modulated laser system is carried out around the steady-state solutions by using the small-signal analysis method, wherefrom we demonstrate that the stability of equilibria can be governed by γ-variations.
View Article and Find Full Text PDFArticle Synopsis
- The paper explores hidden and coexisting self-excited multi-scroll attractors in semiconductor lasers using a modified rate equations model subjected to optical injection, highlighting the presence of multiple equilibria that attract trajectories from outside.
- It analyzes the structural and dynamic properties of the new multi-scroll attractor, explaining how it emerges from the coupling of equilibria and provides 3D and contour plots through bifurcation analysis to depict its complex behaviors.
- Lastly, an electronic circuit simulating REM-SCLs is developed in PSpice, confirming numerical results and achieving temporal control of optical wave management.
Article Synopsis
- - The paper explores the behavior of semiconductor lasers (SCLs) under optical injection by investigating equilibrium points and transient states using modified rate equations, focusing on various bifurcation types, including Bogdanov-Takens and Gavrilov-Guckenheimer.
- - A combination of analytical and numerical studies demonstrates complex locking dynamics in SCLs, highlighting a "zero frequency detuning well" near a Hopf bifurcation, which restricts certain states in the system.
- - The research discusses the occurrence of bursting phenomena in transient behavior and investigates chaos dynamics, including unique attractor shapes, while noting the impact of a zero α-factor on reducing the unlocking region of SCLs and affecting the Hopf bifurcation
This paper presents the nonlinear dynamics and bifurcations of optically injected semiconductor lasers in the frame of relative high injection strength. The behavior of the system is explored by means of bifurcation diagrams; however, the exact nature of the involved dynamics is well described by a detailed study of the dynamics evolutions as a function of the effective gain coefficient. As results, we notice the different types of symmetry chaotic attractors with the riddled basins, supercritical pitchfork and Hopf bifurcations, crisis of attractors, instability of chaos, symmetry breaking and restoring bifurcations, and the phenomena of the bursting behavior as well as two connected parts of the same chaotic attractor which merge in a periodic orbit.
View Article and Find Full Text PDF