Synchronization properties of two self-oscillating semiconductor lasers subject to delayed optoelectronic mutual coupling
Vicente, Raúl; Tang, Shuo; Mulet, Josep; Mirasso, Claudio; Liu, Jia-ming
Physical Review E 73, 047201 (1-4) (2006)
Physical Review E 73, 047201 (1-4) (2006)
We theoretically investigate the nonlinear dynamics and synchronization properties of
two self-oscillating semiconductor lasers subject to optoelectronic mutual-coupling and
feedback loops. The model is based on modified single-mode rate equations for
the intracavity photon and carrier densities. The optoelectronic
interactions take into account the finite propagation time of the
optical and electrical signals. We provide a detailed stability and bifurcation
analysis of the fixed points upon variation of the coupling and
feedback strengths as well as the associated delay times. This allows us to predict a new
scenario for the ``death by delay'' phenomenon where
the delay time in the interaction between the physical units is not
essential. We consider both oscillatory and chaotic behavior of the solitary lasers
by changing the feedback conditions. We find different types of synchronization including
identical, anti-phase and localized synchronization even for perfectly
symmetric systems. When the lasers operate as two chaotic oscillators,
we find that the isochronal (zero-lagged) state is stable within a
large region in the parameter space. The width of the frequency
lockbands (Arnold tongues) of two slightly mismatched lasers shows an
interesting dependence with the coupling delay time.
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