Abstract

The preservability of the chaos synchronization in an intermittent unidirectional coupling semiconductor laser configuration is numerically investigated. By adding additional feedback to the receiver laser, we find that the complete synchronization can be preserved for several tens of nanoseconds after the coupling is cut off, and longer feedback and coupling delays can provide better preservability. Moreover, when the conversion frequency of the coupling is properly high, the synchronization can be preserved all the time. As a consequence of these results, a one-to-two chaos synchronization system is achieved, which provides an opportunity for the implementation of one-to-many and many-to-many chaos synchronization.

© 2011 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. D. Kanakidis, A. Argyris, A. Bogris, and D. Syvridis, “Influence of the decoding process on the performance of chaos encrypted optical communication systems,” J. Lightwave Technol. 24, 335–341 (2006).
    [CrossRef]
  4. R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
    [CrossRef]
  5. L. Larger and J. M. Dudley, “Nonlinear dynamics: optoelectronic chaos,” Nature 465, 41–42 (2010).
    [CrossRef] [PubMed]
  6. A. Argyris, E. Grivas, A. Bogris, and D. Syvridis, “Transmission effects in wavelength division multiplexed chaotic optical communication systems,” J. Lightwave Technol. 28, 3107–3114(2010).
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    [CrossRef] [PubMed]
  8. N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
    [CrossRef]
  9. R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32, 403–405 (2007).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  26. E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
    [CrossRef]
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    [CrossRef]
  28. R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
    [CrossRef]
  29. J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
    [CrossRef]
  30. I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
    [CrossRef] [PubMed]
  31. M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
    [CrossRef]

2010

R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
[CrossRef]

L. Larger and J. M. Dudley, “Nonlinear dynamics: optoelectronic chaos,” Nature 465, 41–42 (2010).
[CrossRef] [PubMed]

A. Argyris, E. Grivas, A. Bogris, and D. Syvridis, “Transmission effects in wavelength division multiplexed chaotic optical communication systems,” J. Lightwave Technol. 28, 3107–3114(2010).

A. Argyris, E. Grivas, M. Hanacher, A. Bogris, and D. Syvridis, “Chaos-on-a-chip secures data transmission in optical fiber links,” Opt. Express 18, 5188–5198 (2010).
[CrossRef] [PubMed]

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

2009

D. Z. Zhong and Z. M. Wu, “Complete chaotic synchronization mechanism of polarization mode of VCSEL with anisotropic optical feedback,” Opt. Commun. 282, 1631–1639 (2009).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

2008

A. Többens and U. Parlitz, “Dynamics of semiconductor lasers with external multicavities,” Phys. Rev. E 78, 016210 (2008).
[CrossRef]

R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
[CrossRef]

2007

2006

D. Kanakidis, A. Argyris, A. Bogris, and D. Syvridis, “Influence of the decoding process on the performance of chaos encrypted optical communication systems,” J. Lightwave Technol. 24, 335–341 (2006).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

M. W. Lee, J. Paul, C. Masoller, and K. A. Shore, “Observation of cascade complete-chaos synchronization with zero time lag in laser diodes,” J. Opt. Soc. Am. B 23, 846–851 (2006).
[CrossRef]

2005

M. C. Chang, H. F. Chen, and J. M. Liu, “Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 41, 1333–1340(2005).
[CrossRef]

M. W. Lee and K. A. Shore, “Two-mode chaos synchronization using a multimode external-cavity laser diode and two single-mode laser diodes,” J. Lightwave Technol. 23, 1068–1073(2005).
[CrossRef]

R. Ju and P. S. Spencer, “Dynamic regimes in semiconductor lasers subject to incoherent optical feedback,” J. Lightwave Technol. 23, 2513–2523 (2005).
[CrossRef]

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

2004

2002

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141–1154 (2002).
[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

2001

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

S. Tang and J. M. Liu, “Message encoding/decoding at 2.5 Gbits/s through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26, 1843–1845 (2001).
[CrossRef]

1999

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Annovazzi-Lodi, V.

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Argyris, A.

Ashwin, P.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Bogris, A.

Chang, M. C.

M. C. Chang, H. F. Chen, and J. M. Liu, “Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 41, 1333–1340(2005).
[CrossRef]

Chen, H. F.

M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
[CrossRef]

M. C. Chang, H. F. Chen, and J. M. Liu, “Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 41, 1333–1340(2005).
[CrossRef]

Chiang, M. C.

M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
[CrossRef]

Colet, P.

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

DeShazer, D. J.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Dudley, J. M.

L. Larger and J. M. Dudley, “Nonlinear dynamics: optoelectronic chaos,” Nature 465, 41–42 (2010).
[CrossRef] [PubMed]

Elsasser, W.

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

Elsässer, W.

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

Fischer, I.

R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
[CrossRef]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32, 403–405 (2007).
[CrossRef] [PubMed]

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

Garcia-Ojalvo, J.

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Grivas, E.

Gross, N.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

Hanacher, M.

Heil, T.

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

Jacquot, M.

R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
[CrossRef]

Jiang, N.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

Ju, R.

Kanakidis, D.

Kanter, I.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

Khaykovich, L.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

Kinzel, W.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

Klein, E.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

Kopelowitz, E.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

Larger, L.

R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
[CrossRef]

L. Larger and J. M. Dudley, “Nonlinear dynamics: optoelectronic chaos,” Nature 465, 41–42 (2010).
[CrossRef] [PubMed]

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Lavrov, R.

R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
[CrossRef]

Lee, M. W.

Li, N. Q.

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

Li, X. F.

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

Lin, F. Y.

Liu, J. M.

M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
[CrossRef]

M. C. Chang, H. F. Chen, and J. M. Liu, “Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 41, 1333–1340(2005).
[CrossRef]

S. Tang and J. M. Liu, “Message encoding/decoding at 2.5 Gbits/s through synchronization of chaotic pulsing semiconductor lasers,” Opt. Lett. 26, 1843–1845 (2001).
[CrossRef]

Luo, B.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

Ma, D.

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

Masoller, C.

Mirasso, C. R.

R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
[CrossRef]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32, 403–405 (2007).
[CrossRef] [PubMed]

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

Muler, J.

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

Mulet, J.

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

Ohtsubo, J.

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141–1154 (2002).
[CrossRef]

Pan, W.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

Parlitz, U.

A. Többens and U. Parlitz, “Dynamics of semiconductor lasers with external multicavities,” Phys. Rev. E 78, 016210 (2008).
[CrossRef]

Paul, J.

Peil, M.

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

Pesquera, L.

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Rosenbluh, M.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

Shore, K. A.

Sivaprakasam, S.

Spencer, P. S.

Syvridis, D.

Syvrids, D.

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Tang, S.

Terry, J. R.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Thornburg, K. S.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Többens, A.

A. Többens and U. Parlitz, “Dynamics of semiconductor lasers with external multicavities,” Phys. Rev. E 78, 016210 (2008).
[CrossRef]

Torre, M. S.

Tsai, M. C.

Vanwiggeren, D. G.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Vicente, R.

R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
[CrossRef]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32, 403–405 (2007).
[CrossRef] [PubMed]

Wu, Z. M.

D. Z. Zhong and Z. M. Wu, “Complete chaotic synchronization mechanism of polarization mode of VCSEL with anisotropic optical feedback,” Opt. Commun. 282, 1631–1639 (2009).
[CrossRef]

Xiang, S. Y.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

Yan, L. S.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

Yang, L.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

Yoskovits, P.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

Zheng, D.

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

Zhong, D. Z.

D. Z. Zhong and Z. M. Wu, “Complete chaotic synchronization mechanism of polarization mode of VCSEL with anisotropic optical feedback,” Opt. Commun. 282, 1631–1639 (2009).
[CrossRef]

Zhu, S.

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

Zou, X. H.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

IEEE J. Quantum Electron.

J. Ohtsubo, “Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback,” IEEE J. Quantum Electron. 38, 1141–1154 (2002).
[CrossRef]

R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46, 1430–1435 (2010).
[CrossRef]

T. Heil, J. Mulet, I. Fischer, C. R. Mirasso, M. Peil, P. Colet, and W. Elsässer, “On/off phase shift keying for chaos-encrypted communication using external-cavity semiconductor lasers,” IEEE J. Quantum Electron. 38, 1162–1170 (2002).
[CrossRef]

X. F. Li, W. Pan, B. Luo, and D. Ma, “Mismatch robustness and security of chaotic optical communications based on injection-locking chaos synchronization,” IEEE J. Quantum Electron. 42, 953–960 (2006).
[CrossRef]

M. C. Chang, H. F. Chen, and J. M. Liu, “Experimental synchronization of mutually coupled semiconductor lasers with optoelectronic feedback,” IEEE J. Quantum Electron. 41, 1333–1340(2005).
[CrossRef]

IEEE Photon. Technol. Lett.

N. Jiang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, S. Y. Xiang, L. Yang, and D. Zheng, “Multiaccess optical chaos communication using mutually coupled semiconductor lasers subjected to identical external injections,” IEEE Photon. Technol. Lett. 22, 676–678(2010).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am. B

Nature

L. Larger and J. M. Dudley, “Nonlinear dynamics: optoelectronic chaos,” Nature 465, 41–42 (2010).
[CrossRef] [PubMed]

A. Argyris, D. Syvrids, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garcia-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 437, 343–346 (2005).
[CrossRef]

Opt. Commun.

N. Jiang, W. Pan, L. S. Yan, B. Luo, L. Yang, S. Y. Xiang, and D. Zheng, “Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system,” Opt. Commun. 282, 2217–2222 (2009).
[CrossRef]

D. Z. Zhong and Z. M. Wu, “Complete chaotic synchronization mechanism of polarization mode of VCSEL with anisotropic optical feedback,” Opt. Commun. 282, 1631–1639 (2009).
[CrossRef]

M. C. Chiang, H. F. Chen, and J. M. Liu, “Synchronization of mutually coupled systems,” Opt. Commun. 261, 86–90 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. E

A. Többens and U. Parlitz, “Dynamics of semiconductor lasers with external multicavities,” Phys. Rev. E 78, 016210 (2008).
[CrossRef]

R. Vicente, I. Fischer, and C. R. Mirasso, “Synchronization properties of three-coupled semiconductor lasers,” Phys. Rev. E 78, 066202 (2008).
[CrossRef]

J. R. Terry, K. S. Thornburg, Jr., D. J. DeShazer, D. G. Vanwiggeren, S. Zhu, and P. Ashwin, “Synchronization of chaos in an array of three lasers,” Phys. Rev. E 59, 4036–4043(1999).
[CrossRef]

N. Jiang, W. Pan, B. Luo, L. S. Yan, S. Y. Xiang, L. Yang, D. Zheng, and N. Q. Li, “Properties of leader-laggard chaos synchronization in mutually coupled external-cavity semiconductor lasers,” Phys. Rev. E 81, 066217 (2010).
[CrossRef]

E. Klein, N. Gross, M. Rosenbluh, W. Kinzel, L. Khaykovich, and I. Kanter, “Stable isochronal synchronization of mutually coupled chaotic lasers,” Phys. Rev. E 73, 066214 (2006).
[CrossRef]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptograph based on mutual chaos pass filters,” Phys. Rev. E 74, 046201 (2006).
[CrossRef]

Phys. Rev. Lett.

I. Kanter, N. Gross, E. Klein, E. Kopelowitz, P. Yoskovits, L. Khaykovich, W. Kinzel, and M. Rosenbluh, “Synchronization of mutually coupled chaotic lasers in the presence of a shutter,” Phys. Rev. Lett. 98, 154101 (2007).
[CrossRef] [PubMed]

M. Peil, T. Heil, I. Fischer, and W. Elsässer, “Synchronization of chaotic semiconductor laser systems: a vectorial coupling-dependent scenario,” Phys. Rev. Lett. 88, 174101 (2002).
[CrossRef] [PubMed]

T. Heil, I. Fischer, W. Elsasser, J. Muler, and C. R. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86795–798 (2001).
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

Schematic of intermittent master–slave chaotic SL system. EM, external mirror; M, mirror; TL, transmitter laser; RL, receiver laser; OI, optical isolator; BS, beam splitter; NDF, neutral density filter; OS, optical switch.

Fig. 2
Fig. 2

Illustration of the desynchronization process and resynchronization process (red) versus switch states (black). The switch signal is a sequence of 2 MHz periodic pulses.

Fig. 3
Fig. 3

Performance of the synchronization preservability for different feedback and injection delays.

Fig. 4
Fig. 4

Influence of the conversion frequency of the OS on the synchronization-preserved time (red, circles) and resynchronization time (blue, squares); the black dashed curve stands for the corresponding width of the disconnection interval (half of the conversion period of the OS).

Fig. 5
Fig. 5

Schematic of one-to-two SL chaos synchronization system.

Fig. 6
Fig. 6

Illustration of synchronization preservability in the one-to-two intermittent injecting system; (a) temporal traces of the output powers of TL (black), RL1 (green), and RL2 (red); the traces of RL1 and RL2 have been shifted vertically to distinguish them from that of TL. (b) Time-variant cross coefficient functions of TL-RL1 (green) and TL-RL2 (red), and the switch signals (black), wherein the curves of TL-RL2 are shifted vertically to distinguish from that of TL-RL1. The switch signal is a sequence of 20 MHz periodic pulses.

Tables (1)

Tables Icon

Table 1 Values of Parameters Used in the Simulations [18]

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

d E 1 ( t ) d t = 1 2 ( 1 + i α ) ( G 1 1 τ p ) E 1 ( t ) + k 1 E 1 ( t τ 1 ) exp ( i ω τ 1 ) ,
d N 1 ( t ) d t = I e N 1 ( t ) τ e G 1 E 1 ( t ) 2 ,
d E 2 ( t ) d t = 1 2 ( 1 + i α ) ( G 2 1 τ p ) E 2 ( t ) + [ k 2 + ( 1 s ) σ ] E 2 ( t τ 2 ) exp ( i ω τ 2 ) + s σ E 1 ( t τ c ) exp ( i ω τ c ) ,
d N 2 ( t ) d t = I e N 2 ( t ) τ e G 2 E 2 ( t ) 2 ,
G 1 , 2 ( t ) = g [ N 1 , 2 ( t ) N 0 ] 1 + ε E 1 , 2 ( t ) 2 ,
E 1 ( t ) = E 2 ( t ) = E 2 ( t + Δ t ) ,
N 1 ( t ) = N 2 ( t ) = N 2 ( t + Δ t ) .
k 1 E 1 ( t τ 1 ) = [ k 2 + ( 1 s ) σ ] E 2 ( t τ 2 ) + s σ E 1 ( t τ c ) .
τ 1 = τ 2 = τ c ,
k 1 = k 2 + ( 1 s ) σ + s σ ,
Δ t = τ 1 + τ c = 0.
ρ ( t ) = ( P 1 i P 1 i ) · ( P 2 i P 2 i ) ( P 1 i P 1 i ) 2 · ( P 2 i P 2 i ) 2 ( i = 0 , 1 , 2 , 3 ; t = ( i + 0.5 ) Δ t ) ,

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