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Dynamics of semiconductor lasers with bidirectional optoelectronic coupling: stability, route to chaos, and

Raúl Vicente¹, Shuo Tang, Josep Mulet

¹Department de Física, Universitat de les Illes Balears, Campus UIB, E-07122 Palma de Mallorca, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 17, 2004

Abstract:

The dynamical behavior of two mutually coupled semiconductor lasers is studied. An optoelectronic coupling including a time delay in the propagation of the signals between the two lasers is considered. Starting from the appropriate rate equations for the photon and carrier densities, we investigate the stability of the fixed points and limit cycles of the system as a function of the coupling strength and the propagation time. From this analysis, a quasiperiodic route to chaos with boundary crisis events is identified as the responsible mechanism leading the system from regular to complex behavior. Several interesting phenomena are predicted for this system. Our analytical and numerical results are supported by experiments which are in good agreement with our predictions.

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