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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 4 — Feb. 13, 2012
  • pp: 4352–4359

Synchronization in small networks of time-delay coupled chaotic diode lasers

Y. Aviad, I. Reidler, M. Zigzag, M. Rosenbluh, and I. Kanter  »View Author Affiliations


Optics Express, Vol. 20, Issue 4, pp. 4352-4359 (2012)
http://dx.doi.org/10.1364/OE.20.004352


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Abstract

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Generalized zero-lag synchronization is observed for two lasers separated by long distances even when their self-feedback delays are not equal. Generalized sub-lattice synchronization is observed for quadrilateral geometries while the equilateral triangle is zero-lag synchronized. Generalized zero-lag synchronization, without the limitation of precisely matched delays, opens possibilities for advanced multi-user communication protocols.

© 2012 OSA

OCIS Codes
(140.1540) Lasers and laser optics : Chaos
(140.3325) Lasers and laser optics : Laser coupling

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: December 13, 2011
Revised Manuscript: January 17, 2012
Manuscript Accepted: January 20, 2012
Published: February 7, 2012

Citation
Y. Aviad, I. Reidler, M. Zigzag, M. Rosenbluh, and I. Kanter, "Synchronization in small networks of time-delay coupled chaotic diode lasers," Opt. Express 20, 4352-4359 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-4-4352


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References

  1. E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.73(6), 066214 (2006). [CrossRef] [PubMed]
  2. O. D’Huys, R. Vicente, T. Erneux, J. Danckaert, and I. Fischer, “Synchronization properties of network motifs: influence of coupling delay and symmetry,” Chaos18(3), 037116 (2008). [CrossRef] [PubMed]
  3. I. Kanter, M. Zigzag, A. Englert, F. Geissler, and W. Kinzel, “Synchronization of unidirectional time delay chaotic networks and the greatest common divisor,” Europhys. Lett.93(6), 60003 (2011). [CrossRef]
  4. R. Vardi, A. Wallach, E. Kopelowitz, M. Abeles, S. Marom, and I. Kanter, “Synthetic reverberating activity patterns embedded in networks of cortical neurons,” Arxiv preprint arXiv:1201.0339 (2012).
  5. M. Nixon, M. Friedman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Synchronized cluster formation in coupled laser networks,” Phys. Rev. Lett.106(22), 223901 (2011). [CrossRef] [PubMed]
  6. A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008). [CrossRef]
  7. I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh, “An optical ultrafast random bit generator,” Nat. Photonics4(1), 58–61 (2010). [CrossRef]
  8. A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett.83(15), 3213–3215 (2003). [CrossRef]
  9. I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express18(17), 18292–18302 (2010). [CrossRef] [PubMed]
  10. G. D. VanWiggeren and R. Roy, “Communication with dynamically fluctuating states of light polarization,” Phys. Rev. Lett.88(9), 097903 (2002). [CrossRef] [PubMed]
  11. A. B. Cohen, B. Ravoori, T. E. Murphy, and R. Roy, “Using synchronization for prediction of high-dimensional chaotic dynamics,” Phys. Rev. Lett.101(15), 154102 (2008). [CrossRef] [PubMed]
  12. B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett.107(3), 034102 (2011). [CrossRef] [PubMed]
  13. B. Ravoori, A. B. Cohen, A. V. Setty, F. Sorrentino, T. E. Murphy, E. Ott, and R. Roy, “Adaptive synchronization of coupled chaotic oscillators,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.80(5), 056205 (2009). [CrossRef] [PubMed]
  14. M. Peil, L. Larger, and I. Fischer, “Versatile and robust chaos synchronization phenomena imposed by delayed shared feedback coupling,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.76(4), 045201 (2007). [CrossRef] [PubMed]
  15. D. Lenstra, B. Verbeek, and A. Den Boef, “Coherence collapse in single-mode semiconductor lasers due to optical feedback,” IEEE J. Quantum Electron.21(6), 674–679 (1985). [CrossRef]
  16. Y. Aviad, I. Reidler, W. Kinzel, I. Kanter, and M. Rosenbluh, “Phase synchronization in mutually coupled chaotic diode lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.78(2), 025204 (2008). [CrossRef] [PubMed]
  17. M. Rosenbluh, Y. Aviad, E. Cohen, L. Khaykovich, W. Kinzel, E. Kopelowitz, P. Yoskovits, and I. Kanter, “Spiking optical patterns and synchronization,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.76(4), 046207 (2007). [CrossRef] [PubMed]
  18. M. Zigzag, M. Butkovski, A. Englert, W. Kinzel, and I. Kanter, “Zero-lag synchronization and multiple time delays in two coupled chaotic systems,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.81(3), 036215 (2010). [CrossRef] [PubMed]
  19. K. Hicke, O. D’Huys, V. Flunkert, E. Schöll, J. Danckaert, and I. Fischer, “Mismatch and synchronization: influence of asymmetries in systems of two delay-coupled lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.83(5), 056211 (2011). [CrossRef] [PubMed]
  20. V. Ahlers, U. Parlitz, and W. Lauterborn, “Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics58(6), 7208–7213 (1998). [CrossRef]
  21. Y. Takiguchi, H. Fujino, and J. Ohtsubo, “Experimental synchronization of chaotic oscillations in externally injected semiconductor lasers in a low-frequency fluctuation regime,” Opt. Lett.24(22), 1570–1572 (1999). [CrossRef] [PubMed]
  22. R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron.16(3), 347–355 (1980). [CrossRef]
  23. I. Kanter, E. Kopelowitz, R. Vardi, M. Zigzag, D. Cohen, and W. Kinzel, “Nonlocal mechanism for synchronization of time delay networks,” J. Stat. Phys.145(3), 713–733 (2011). [CrossRef]
  24. S. Heiligenthal, T. Dahms, S. Yanchuk, T. Jüngling, V. Flunkert, I. Kanter, E. Schöll, and W. Kinzel, “Strong and weak chaos in nonlinear networks with time-delayed couplings,” Phys. Rev. Lett.107(23), 234102 (2011). [CrossRef] [PubMed]
  25. V. Flunkert, S. Yanchuk, T. Dahms, and E. Schöll, “Synchronizing distant nodes: a universal classification of networks,” Phys. Rev. Lett.105(25), 254101 (2010). [CrossRef] [PubMed]
  26. J. Zamora-Munt, C. Masoller, J. Garcia-Ojalvo, and R. Roy, “Crowd synchrony and quorum sensing in delay-coupled lasers,” Phys. Rev. Lett.105(26), 264101 (2010). [CrossRef] [PubMed]
  27. J. Kestler, W. Kinzel, and I. Kanter, “Sublattice synchronization of chaotic networks with delayed couplings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.76(3), 035202 (2007). [CrossRef] [PubMed]
  28. C. González, C. Masoller, M. Torrent, and J. García-Ojalvo, “Synchronization via clustering in a small delay-coupled laser network,” Europhys. Lett.79(6), 64003 (2007). [CrossRef]

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