2011 International Symposium on Nonlinear Theory and Its Applications
Consistency and complexity in coupled semiconductor lasers with time-delayed optical feedback
Kazutaka Kanno, Atsushi Uchida,
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Consistency of response in a system driven repeatedly by a complex signal has been observed in many nonlinear dynamical systems. We investigate the consistency of unidirectionally coupled semiconductor lasers with optical feedback and measure the complexity of the coupled laser system by using Lyapunov spectrum. It is found that the complexity of the coupled laser system can be classified into three regions. When the system has consistency, the complexity of the coupled laser system corresponds to that of the Drive laser. In inconsistency regions, the complexity of the coupled laser system corresponds to the sum of those of the uncoupled Drive and Response lasers. The complexity increases in the boundary of the consistency region at negative optical frequency detuning. The complexity strongly depends on the degree of consistency.