OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 24 — Nov. 21, 2011
  • pp: 24460–24467

Modeling synchronization in networks of delay-coupled fiber ring lasers

Brandon S. Lindley and Ira B. Schwartz  »View Author Affiliations


Optics Express, Vol. 19, Issue 24, pp. 24460-24467 (2011)
http://dx.doi.org/10.1364/OE.19.024460


View Full Text Article

Enhanced HTML    Acrobat PDF (816 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study the onset of synchronization in a network of N delay-coupled stochastic fiber ring lasers with respect to various parameters when the coupling power is weak. In particular, for groups of three or more ring lasers mutually coupled to a central hub laser, we demonstrate a robust tendency toward out-of-phase (achronal) synchronization between the N – 1 outer lasers and the single inner laser. In contrast to the achronal synchronization, we find the outer lasers synchronize with zero-lag (isochronal) with respect to each other, thus forming a set of N – 1 coherent fiber lasers.

© 2011 OSA

OCIS Codes
(140.1540) Lasers and laser optics : Chaos
(140.3290) Lasers and laser optics : Laser arrays
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: August 11, 2011
Revised Manuscript: October 21, 2011
Manuscript Accepted: October 24, 2011
Published: November 15, 2011

Citation
Brandon S. Lindley and Ira B. Schwartz, "Modeling synchronization in networks of delay-coupled fiber ring lasers," Opt. Express 19, 24460-24467 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-24-24460


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Mackey and L. Glass, “Oscillation and chaos in physiological control systems,” Science197, 289–289 (1977). [CrossRef]
  2. M. Kim, M. Bertram, M. Pollmann, A. von Oertzen, A. S. Mikhailov, H. H. Rotermund, and G. Ertl, “Controlling chemical turbulence by global delayed feedback: pattern formation in catalytic co oxidation on pt(110),” Science292, 1357–1360 (2001). [CrossRef] [PubMed]
  3. K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun.30, 257–261 (1979). [CrossRef]
  4. R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron.16, 347–355 (1980). [CrossRef]
  5. D. V. R. Reddy, A. Sen, and G. L. Johnston, “Experimental evidence of time-delay-induced death in coupled limit-cycle oscillators,” Phys. Rev. Lett.85, 3381–3384 (2000). [CrossRef]
  6. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “Phase synchronization of chaotic oscillators,” Phys. Rev. Lett.76, 1804–1807 (1996). [CrossRef] [PubMed]
  7. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett.78, 4193–4196 (1997). [CrossRef]
  8. A. Wagemakers, J. M. Buldu, and M. Sanjuan, “Isochronous synchronization in mutually couple chaotic circuits,” Chaos17, 023128 (2007). [CrossRef] [PubMed]
  9. O. D. Huys, R. Vicente, J. Danckaert, and I. Fischer, “Amplitude and phase effects on the synchronication of delay-couple oscillators,” Chaos20, 043127 (2010). [CrossRef]
  10. J. Mulet, C. Mirasso, T. Heil, and I. Fischer, “Synchronication scenario of two distant mutually coupled semiconductor lasers,” J. Opt. B: Quantum Semiclass. Opt.6, 97–105 (2004). [CrossRef]
  11. T. Heil, I. Fischer, W. Elsasser, J. Mulet, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett.86, 795–798 (2001). [CrossRef] [PubMed]
  12. J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E65, 036229 (2002). [CrossRef]
  13. Q. L. Williams and R. Roy, “Fast polarization dynamics of an erbium-doped fiber ring laser,” Opt. Lett.21, 1478–1480 (1996). [CrossRef] [PubMed]
  14. Q. L. Williams, J. Garcia-Ojalvo, and R. Roy, “Fast intracavity polarization dynamics of an erbium-doped fiber ring laser: Inclusion of stochastic effects,” Phys. Rev. A55, 2376–2386 (1997). [CrossRef]
  15. G. D. Vanwiggeren and R. Roy, “Chaotic communication using time-delayed optical systems,” Int. J. Bifurcation Chaos Appl. Sci. Eng.9, 2129–2156 (1999). [CrossRef]
  16. R. Wang and K. Shen, “Synchronization of chaotic erbium-doped fiber dual-ring lasers by using the method of another chaotic system to drive them,” Phys. Rev. E65, 016207 (2002). [CrossRef]
  17. Y. Imai, H. Murakawa, and T. Imoto, “Chaos synchronization characteristics in erbium-doped fiber laser systems,” Opt. Commun.217, 415–420 (2003). [CrossRef]
  18. D. J. DeShazer, B. P. Tighe, M. Kurths, and R. Roy, “Experimental observation of noise-induced synchronization of bursting dynamical systems,” IEEE J. Sel. Top. Quantum Electron.10, 906–910 (2004). [CrossRef]
  19. L. B. Shaw, I. B. Schwartz, E. A. Rogers, and R. Roy, “Synchronization and time shifts of dynamical patterns for mutually delay-coupled fiber ring lasers,” Chaos16, 01511 (2006). [CrossRef]
  20. I. B. Schwartz and L. B. Shaw, “Isochronal synchronization of delay-coupled systems,” Phys. Rev. E75, 046207 (2007). [CrossRef]
  21. A. L. Franz, R. Roy, L. B. Shaw, and I. B. Schwartz, “Changing dynamical complexity with time delay in coupled fiber laser oscillators,” Phys. Rev. Lett.99, 053905 (2007). [CrossRef] [PubMed]
  22. C. Massoller and A. Marti, “Random delays and the sychronization of chaotic maps,” Phys. Rev. Lett.94, 134102 (2005). [CrossRef]
  23. E. A. Rogers, “Synchronization of high dimensional dynamical systems,” Ph.D. thesis, University of Maryland College Park (2005).
  24. E. A. Rogers-Dakin, J. Garcia-Ojalvo, D. J. Deshazer, and R. Roy, “Synchronization and symmetry breaking in mutually coupled fiber lasers,” Phys. Rev. E73, 045201 (2006). [CrossRef]
  25. A. S. Landsman and I. B. Schwartz, “Complete chaotic synchronization in mutually coupled time-delay systems,” Phys. Rev. E75, 026201 (2007). [CrossRef]
  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, 264101 (2010). [CrossRef]
  27. D. Tsygankov and K. Wiesenfeld, “Weak link synchronization,” Phys. Rev. E73, 026222 (2006). [CrossRef]
  28. L. Kocarev and U. Parlitz, “Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems,” Phys. Rev. Lett.76, 1816–1819 (1996). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited