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Mismatch and synchronization: Influence of asymmetries in systems of two delay-coupled lasers

K. Hicke1,2, O. D’Huys3, V. Flunkert2, E. Schöll2, J. Danckaert3, and I. Fischer1

  • 1Instituto de Fisica Interdisciplinar y Sistemas Complejos (IFISC), UIB-CSIC, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
  • 2Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, D-10623 Berlin, Germany
  • 3Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussel, Belgium

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Phys. Rev. E 83, 056211 – Published 18 May, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.056211

Abstract

We study the synchronization properties of the delay dynamics of two identical semiconductor lasers coupled through a semitransparent mirror. Via an analytical and numerical approach, we investigate the influence of asymmetries, in particular mismatches of self- and cross-coupling strength and differences in self- and cross-coupling delay. We show that the former mismatch affects the stability of the zero-lag state but not the dynamics within the synchronization manifold, while the latter mismatch does not affect the quality of synchronization but alters the dynamics significantly. Our results are extended to different unidirectional coupling schemes. This is highly relevant for communication schemes utilizing chaotic dynamics. Finally, the influence of nonlinear gain saturation on the dynamics and stability of synchronization is discussed.

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      Phys. Rev. E 83, 056211– Published 18 May, 2011
      • Received 29 December 2010

      ©2011 American Physical Society

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