Abstract

A novel multi-injection module (MIM) is introduced into a typical distant star-type laser network, which is composed of a hub semiconductor laser node (H-SLN), star semiconductor laser nodes (S-SLNs) and tens of kilometers of fiber links. The chaotic synchronization of this distant network is investigated both experimentally and theoretically. As a result of using the MIM, a significantly low correlation (about 0.2) is successfully achieved between the H-SLN and S-SLNs in different clusters. This correlation is much lower than in previously reported results. Even when the fiber length is extended to 80 kilometers a low correlation (about 0.18) between the H-SLN and S-SLNs in different clusters is also obtained. Moreover, the dependence of chaotic synchronization on the operating conditions, such as the injection power, frequency detuning, and frequency mismatch between arbitrary nodes are examined. Lastly, using a theoretical model, we discuss the broad conditions for achieving chaotic synchronization among S-SLNs in the same cluster, and analyze the effect of the MIM branch number on chaotic synchronization.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
    [Crossref]
  2. M. Sciamanna and K. A. Shore, “Physics and applications of laser diode chaos,” Nat. Photonics 9(3), 151–162 (2015).
    [Crossref]
  3. J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
    [Crossref]
  4. N. Jiang, Y. J. Wang, A. K. Zhao, S. Q. Liu, Y. Q. Zhang, L. Chen, B. C. Li, and K. Qiu, “Simultaneous bandwidth-enhanced and time delay signature-suppressed chaos generation in semiconductor laser subject to feedback from parallel coupling ring resonators,” Opt. Express 28(2), 1999–2009 (2020).
    [Crossref]
  5. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
    [Crossref]
  6. F. Y. Lin and J. M. Liu, “Chaotic radar using nonlinear laser dynamics,” IEEE J. Quantum Electron. 40(6), 815–820 (2004).
    [Crossref]
  7. 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. Photonics 2(12), 728–732 (2008).
    [Crossref]
  8. Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
    [Crossref]
  9. L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
    [Crossref]
  10. S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
    [Crossref]
  11. S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
    [Crossref]
  12. S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
    [Crossref]
  13. 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. 86(5), 795–798 (2001).
    [Crossref]
  14. I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
    [Crossref]
  15. W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
    [Crossref]
  16. Y. Hong, M. W. Lee, J. Paul, P. S. Spencer, and K. A. Shore, “GHz bandwidth message transmission using chaotic vertical-cavity surface emitting lasers,” J. Lightwave Technol. 27(22), 5099–5105 (2009).
    [Crossref]
  17. N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
    [Crossref]
  18. R. Lavrov, M. Jacquot, and L. Larger, “Nonlocal nonlinear electro-optic phase dynamics demonstrating 10 Gb/s chaos communications,” IEEE J. Quantum Electron. 46(10), 1430–1435 (2010).
    [Crossref]
  19. A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
    [Crossref]
  20. J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
    [Crossref]
  21. J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
    [Crossref]
  22. J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
    [Crossref]
  23. S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
    [Crossref]
  24. L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
    [Crossref]
  25. 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]
  26. M. F. Xu, W. Pan, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in symmetric VCSELs networks with variable-polarization optical feedback,” Opt. Express 26(8), 10754–10761 (2018).
    [Crossref]
  27. Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
    [Crossref]
  28. W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
    [Crossref]
  29. 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]
  30. P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
    [Crossref]
  31. 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(4), 4352–4359 (2012).
    [Crossref]
  32. H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
    [Crossref]
  33. M. Bourmpos, A. Argyris, and D. Syvridis, “Sensitivity analysis of a star optical network based on mutually coupled semiconductor lasers,” J. Lightwave Technol. 30(16), 2618–2624 (2012).
    [Crossref]
  34. M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
    [Crossref]
  35. S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
    [Crossref]
  36. A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
    [Crossref]
  37. G. P. Agrawal, Nonlinear Fiber Optics, San Diego, (Academic, CA, 1989).
  38. R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
    [Crossref]

2020 (4)

N. Jiang, Y. J. Wang, A. K. Zhao, S. Q. Liu, Y. Q. Zhang, L. Chen, B. C. Li, and K. Qiu, “Simultaneous bandwidth-enhanced and time delay signature-suppressed chaos generation in semiconductor laser subject to feedback from parallel coupling ring resonators,” Opt. Express 28(2), 1999–2009 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

2019 (3)

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

2018 (1)

2017 (1)

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

2016 (2)

S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
[Crossref]

A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
[Crossref]

2015 (1)

M. Sciamanna and K. A. Shore, “Physics and applications of laser diode chaos,” Nat. Photonics 9(3), 151–162 (2015).
[Crossref]

2013 (4)

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

2012 (3)

2011 (5)

P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
[Crossref]

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

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]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

2010 (3)

N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
[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(10), 1430–1435 (2010).
[Crossref]

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]

2009 (1)

2008 (4)

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
[Crossref]

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

2006 (1)

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

2005 (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

2004 (1)

F. Y. Lin and J. M. Liu, “Chaotic radar using nonlinear laser dynamics,” IEEE J. Quantum Electron. 40(6), 815–820 (2004).
[Crossref]

2001 (1)

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. 86(5), 795–798 (2001).
[Crossref]

1980 (1)

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, San Diego, (Academic, CA, 1989).

Aida, H.

Amano, K.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Annovazzi-Lodi, V.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Appeltant, L.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Arahata, M.

Argyris, A.

A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Sensitivity analysis of a star optical network based on mutually coupled semiconductor lasers,” J. Lightwave Technol. 30(16), 2618–2624 (2012).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Aviad, Y.

Behnia, S.

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

Bourmpos, M.

M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Sensitivity analysis of a star optical network based on mutually coupled semiconductor lasers,” J. Lightwave Technol. 30(16), 2618–2624 (2012).
[Crossref]

Buldu, J. M.

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

Chen, L.

Colet, P.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Dambre, J.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Danckaert, J.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Davidson, N.

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]

Davis, P.

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref]

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Deng, D.

Deng, T.

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

Deng, W.

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

Duan, S. K.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

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. 86(5), 795–798 (2001).
[Crossref]

Fan, L.

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

Feng, G. Y.

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

Fischer, I.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[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. 86(5), 795–798 (2001).
[Crossref]

Friedman, M.

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]

Friesem, A. A.

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]

Garcia-Ojalvo, J.

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]

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

García-Ojalvo, J.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Gong, J. K.

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Guo, X. X.

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Han, G. Q.

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

Han, Y. A.

Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
[Crossref]

Han, Y. N.

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

Hao, Y.

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Heil, T.

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. 86(5), 795–798 (2001).
[Crossref]

Hirano, K.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Hong, Y.

Huang, S. W.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Huang, Y. J.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Inoue, M.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

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(10), 1430–1435 (2010).
[Crossref]

Jafari, A.

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

Jiang, N.

Kanter, I.

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(4), 4352–4359 (2012).
[Crossref]

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]

Kobayashi, K.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

Koizumi, H.

Kurashige, T.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Kwong, D. L.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Lang, R.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[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(10), 1430–1435 (2010).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 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(10), 1430–1435 (2010).
[Crossref]

Lee, M. W.

Li, B. C.

Li, P.

Lin, F. Y.

F. Y. Lin and J. M. Liu, “Chaotic radar using nonlinear laser dynamics,” IEEE J. Quantum Electron. 40(6), 815–820 (2004).
[Crossref]

Lin, L.

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Lin, X. D.

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
[Crossref]

Liu, J. M.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

F. Y. Lin and J. M. Liu, “Chaotic radar using nonlinear laser dynamics,” IEEE J. Quantum Electron. 40(6), 815–820 (2004).
[Crossref]

Liu, S. Q.

Liu, Y. R.

Lo, G. Q.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Luo, B.

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

Mabhouti, K.

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

Masoller, C.

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]

Mirasso, C. R.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[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. 86(5), 795–798 (2001).
[Crossref]

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. 86(5), 795–798 (2001).
[Crossref]

Muramatsu, J.

Naito, S.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Nixon, M.

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]

Okumura, H.

Oowada, I.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Pan, W.

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

M. F. Xu, W. Pan, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in symmetric VCSELs networks with variable-polarization optical feedback,” Opt. Express 26(8), 10754–10761 (2018).
[Crossref]

S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
[Crossref]

N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

Paul, J.

Peil, M.

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

Pesquera, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Pikasis, E.

A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
[Crossref]

Qiu, K.

Reidler, I.

Ren, Z. X.

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

Ronen, E.

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]

Rosenbluh, M.

Roy, R.

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]

Schrauwen, B.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Sciamanna, M.

M. Sciamanna and K. A. Shore, “Physics and applications of laser diode chaos,” Nat. Photonics 9(3), 151–162 (2015).
[Crossref]

Sedghi, H.

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

Shiki, M.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Shore, K. A.

M. Sciamanna and K. A. Shore, “Physics and applications of laser diode chaos,” Nat. Photonics 9(3), 151–162 (2015).
[Crossref]

Y. Hong, M. W. Lee, J. Paul, P. S. Spencer, and K. A. Shore, “GHz bandwidth message transmission using chaotic vertical-cavity surface emitting lasers,” J. Lightwave Technol. 27(22), 5099–5105 (2009).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Someya, H.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Song, Z. W.

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

Soriano, M. C.

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Spencer, P. S.

Syvridis, D.

A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Sensitivity analysis of a star optical network based on mutually coupled semiconductor lasers,” J. Lightwave Technol. 30(16), 2618–2624 (2012).
[Crossref]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Tang, X.

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

Torrent, M. C.

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

Uchida, A.

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref]

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Van der Sande, G.

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

Vicente, R.

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

Wang, A.

Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
[Crossref]

Wang, B.

Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
[Crossref]

Wang, H. N.

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

Wang, M. Y.

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

Wang, Y.

Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
[Crossref]

Wang, Y. J.

Wen, A. J.

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
[Crossref]

Wong, C. W.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Wu, J. G.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
[Crossref]

Wu, Z. M.

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
[Crossref]

Xia, G. Q.

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, Y. R. Liu, L. Fan, X. Tang, and G. Q. Xia, “Simulation of bidirectional long-distance chaos communication performance in a novel fiber-optic chaos synchronization system,” J. Lightwave Technol. 31(3), 461–467 (2013).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

P. Li, J. G. Wu, Z. M. Wu, X. D. Lin, D. Deng, Y. R. Liu, and G. Q. Xia, “Bidirectional chaos communication between two outer semiconductor lasers coupled mutually with a central semiconductor laser,” Opt. Express 19(24), 23921–23931 (2011).
[Crossref]

Xiang, S. Y.

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
[Crossref]

M. F. Xu, W. Pan, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in symmetric VCSELs networks with variable-polarization optical feedback,” Opt. Express 26(8), 10754–10761 (2018).
[Crossref]

S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
[Crossref]

N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
[Crossref]

Xu, M. F.

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

M. F. Xu, W. Pan, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in symmetric VCSELs networks with variable-polarization optical feedback,” Opt. Express 26(8), 10754–10761 (2018).
[Crossref]

Yan, L. S.

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

N. Jiang, W. Pan, L. S. Yan, B. Luo, W. L. Zhang, S. Y. Xiang, L. Yang, and D. Zheng, “Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser,” J. Lightwave Technol. 28(13), 1978–1986 (2010).
[Crossref]

Yang, J. H.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Yang, L.

Yoshimori, S.

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Yoshimura, K.

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref]

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Yu, M. B.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Zamora-Munt, J.

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]

Zhang, L. Y.

Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
[Crossref]

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

M. F. Xu, W. Pan, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in symmetric VCSELs networks with variable-polarization optical feedback,” Opt. Express 26(8), 10754–10761 (2018).
[Crossref]

Zhang, W. L.

Zhang, Y. H.

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

S. Y. Xiang, Z. X. Ren, Y. H. Zhang, Z. W. Song, and Y. Hao, “All-optics neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA,” Opt. Lett. 45(5), 1104–1107 (2020).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

Zhang, Y. Q.

Zhao, A. K.

Zheng, D.

Zhou, H.

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Zhou, Z.

Zigzag, M.

Zou, X. H.

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, M. Y. Wang, and Z. Zhou, “Chaos synchronization communication using extremely unsymmetrical bidirectional injections,” Opt. Lett. 33(3), 237–239 (2008).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

IEEE J. Quantum Electron. (3)

F. Y. Lin and J. M. Liu, “Chaotic radar using nonlinear laser dynamics,” IEEE J. Quantum Electron. 40(6), 815–820 (2004).
[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(10), 1430–1435 (2010).
[Crossref]

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16(3), 347–355 (1980).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

L. Y. Zhang, W. Pan, L. S. Yan, B. Luo, X. H. Zou, and M. F. Xu, “Cluster synchronization of coupled semiconductor lasers network with complex topology,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1501007 (2019).
[Crossref]

S. Y. Xiang, Y. H. Zhang, J. K. Gong, X. X. Guo, L. Lin, and Y. Hao, “STDP-based unsupervised spike pattern learning in a photonic spiking neural network with VCSELs and VCSOAs,” IEEE J. Sel. Top. Quantum Electron. 25(6), 1–9 (2019).
[Crossref]

IEEE Photonics Technol. Lett. (7)

Y. Wang, B. Wang, and A. Wang, “Chaotic correlation optical time domain reflectometer utilizing laser diode,” IEEE Photonics Technol. Lett. 20(19), 1636–1638 (2008).
[Crossref]

J. G. Wu, Z. M. Wu, G. Q. Xia, T. Deng, X. D. Lin, X. Tang, and G. Y. Feng, “Isochronous synchronization between chaotic semiconductor lasers over 40-km fiber links,” IEEE Photonics Technol. Lett. 23(24), 1854–1856 (2011).
[Crossref]

J. G. Wu, Z. M. Wu, X. Tang, L. Fan, W. Deng, and G. Q. Xia, “Experimental demonstration of LD-based bidirectional fiber-optic chaos communication,” IEEE Photonics Technol. Lett. 25(6), 587–590 (2013).
[Crossref]

W. L. Zhang, W. Pan, B. Luo, X. H. Zou, and M. Y. Wang, “One-to-many and many-to-one optical chaos communications using semiconductor lasers,” IEEE Photonics Technol. Lett. 20(9), 712–714 (2008).
[Crossref]

M. Bourmpos, A. Argyris, and D. Syvridis, “Analysis of the bubbling effect in synchronized networks with semiconductor lasers,” IEEE Photonics Technol. Lett. 25(9), 817–820 (2013).
[Crossref]

S. Y. Xiang, A. J. Wen, and W. Pan, “Synchronization regime of star-type laser network with heterogeneous coupling delays,” IEEE Photonics Technol. Lett. 28(18), 1988–1991 (2016).
[Crossref]

A. Argyris, E. Pikasis, and D. Syvridis, “Highly correlated chaotic emission from bidirectionally coupled semiconductor lasers,” IEEE Photonics Technol. Lett. 28(17), 1819–1822 (2016).
[Crossref]

IEEE Trans. Neural Netw. Learn. Syst. (1)

S. Y. Xiang, Z. X. Ren, Z. W. Song, Y. H. Zhang, X. X. Guo, G. Q. Han, and Y. Hao, “Computing primitive of fully VCSEL-based all-optical spiking neural network for supervised learning and pattern classification,” IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1700109 (2020).
[Crossref]

J. Lightwave Technol. (4)

Nat. Commun. (2)

L. Appeltant, M. C. Soriano, G. Van der Sande, J. Danckaert, J. Dambre, B. Schrauwen, C. R. Mirasso, and I. Fischer, “Information processing using a single dynamical node as complex system,” Nat. Commun. 2(1), 468 (2011).
[Crossref]

J. G. Wu, S. W. Huang, Y. J. Huang, H. Zhou, J. H. Yang, J. M. Liu, M. B. Yu, G. Q. Lo, D. L. Kwong, S. K. Duan, and C. W. Wong, “Mesoscopic chaos mediated by Drude electron-hole plasma in silicon optomechanical oscillators,” Nat. Commun. 8(1), 15570 (2017).
[Crossref]

Nat. Photonics (2)

M. Sciamanna and K. A. Shore, “Physics and applications of laser diode chaos,” Nat. Photonics 9(3), 151–162 (2015).
[Crossref]

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. Photonics 2(12), 728–732 (2008).
[Crossref]

Nature (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref]

Nonlinear Dyn. (1)

S. Y. Xiang, Y. N. Han, H. N. Wang, A. J. Wen, and Y. Hao, “Zero-lag chaos synchronization properties in a hierarchical tree-type network consisting of mutually coupled semiconductor lasers,” Nonlinear Dyn. 99(4), 2893–2906 (2020).
[Crossref]

Opt. Commun. (2)

A. Jafari, H. Sedghi, K. Mabhouti, and S. Behnia, “Slave-master dynamics of semiconductor laser with short external cavity,” Opt. Commun. 284(12), 3018–3029 (2011).
[Crossref]

Y. A. Han, S. Y. Xiang, and L. Y. Zhang, “Cluster synchronization in mutually-coupled semiconductor laser networks with different topologies,” Opt. Commun. 445, 262–267 (2019).
[Crossref]

Opt. Express (5)

Opt. Lett. (2)

Phys. Rev. Lett. (4)

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. 86(5), 795–798 (2001).
[Crossref]

I. Fischer, R. Vicente, J. M. Buldu, M. Peil, C. R. Mirasso, M. C. Torrent, and J. Garcia-Ojalvo, “Zero-lag long-range synchronization via dynamical relaying,” Phys. Rev. Lett. 97(12), 123902 (2006).
[Crossref]

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]

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]

Rev. Mod. Phys. (1)

M. C. Soriano, J. García-Ojalvo, C. R. Mirasso, and I. Fischer, “Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers,” Rev. Mod. Phys. 85(1), 421–470 (2013).
[Crossref]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics, San Diego, (Academic, CA, 1989).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (9)

Fig. 1.
Fig. 1. Experimental setup of the MIST-SL network. H-SLN: Hub SL node. S-SLN: Star SL node. OC: optical circulator. PC: polarization controller. VA: variable attenuator. OI: optical isolator. MIM: multi-injection module. EDFA: erbium-doped fiber amplifier. PD: photodetector. OSA: optical spectrum analyzer. ESA: electronic spectrum analyzer. OPM: optical power meter.
Fig. 2.
Fig. 2. The temporal waveforms (the left column), optical spectra (the middle column), and RF spectra (the right column) of the S-SLN1 (the first row), the S-SLN2 (the second row) and the H-SLN (the third row). The time delay between temporal waveforms has been compensated, and the total length of temporal waveforms is 2000 ns. The red curves in the RF spectra are the background noise floor.
Fig. 3.
Fig. 3. The correlation plots (the upper row) and CC coefficient curves (the lower row) between arbitrary nodes of MIST-SL network. a1-a2: the correlation between the S-SLN1 and S-SLN2 in the CS; b1-b2: the correlation between the S-SLN1 in the CS and H-SLN in the CH; c1-c2: the correlation between the S-SLN2 in the CS and H-SLN in the CH.
Fig. 4.
Fig. 4. The CCmax evolution under different injection powers κ (left column) and frequency detuning ΔfH-S (left column) between H-SLN and S-SLNs of the SL networks. The upper row is the MIST-SL case and the lower row is the SIST-SL case. The ΔfH-S is 3.85 GHz (a1, a2), the injection power is 170µw (b1, b2). The black squares denote the CCmax values between S-SLN1 and S-SLN2 in the CS; the red diamonds denote the CCmax between the H-SLN in the CH and S-SLN1 in the CS; the blue triangles denote the CCmax between the H-SLN in the CH and S-SLN2 in the CS.
Fig. 5.
Fig. 5. CCmax between arbitrary nodes as a function of ΔfS-S between S-SLN1 and S-SLN2 for different injection power levels. The injection power values are successively 50µw (a1), 100µw (b1), 140µw (c1), 100µw (a2), 150µw (b2), and 170µw (c2), respectively. The upper row is the MIST-SL case and the lower row is the SIST-SL case. The black squares denote the CCmax values between S-SLN1 and S-SLN2 in the CS; the red diamonds denote CCmax between the H-SLN in the CH and S-SLN1 in the CS; the blue triangles denote CCmax between the H-SLN in the CH and S-SLN2 in the CS.
Fig. 6.
Fig. 6. The experimental results for the MIST-SL network with 80 kilometer fiber spools. a1-a3: the recorded temporal waveforms of S-SLN1, S-SLN2 and H-SLN, respectively. b1-a3: the correlation plots between S-SLN1 and S-SLN2 in the CS, between S-SLN1 in the CS and H-SLN in the CH, and between S-SLN2 in the CS and H-SLN in the CH, respectively.
Fig. 7.
Fig. 7. The theoretical simulation of the MIST-SL network when the number of S-SLNs is set as 2 (the left part) and 5 (the right part). a1-a3: the temporal waveforms of S-SLN1, S-SLN2 and H-SLN, respectively. b1-b3: the correlation plots between S-SLN1 and S-SLN2 in the CS, between SLN1 in the CS and H-SLN in the CH, and between S-SLN2 in the CS and H-SLN in the CH, respectively. c1-c6: the temporal waveforms of S-SLN1, S-SLN2, S-SLN3, S-SLN4, S-SLN5 and H-SLN, respectively. d1-d6: the correlation plots between S-SLN1 and S-SLN2, between S-SLN2 and S-SLN3, between S-SLN3 and S-SLN4, between S-SLN4 and S-SLN5, between S-SLN5 and S-SLN1, between SLN5 and H-SLN, respectively.
Fig. 8.
Fig. 8. The simulated evolution maps of CCmax in the parameter space of KH-S and ΔfH-S. The upper row is the SIST-SL case and the lower row is the MIST-SL case. The left column: the CCmax maps between S-SLN1 and S-SLN2 in the CS; the middle column: the CCmax maps between the H-SLN in the CH and S-SLN1 in the CS; the last column: the CCmax maps between the H-SLN in the CH and S-SLN2 in the CS. The white dash line marks the boundary with condition CCmax=0.99, while the black dash line marks the boundary with condition CCmax=0.5.
Fig. 9.
Fig. 9. Simulated CCmax evolution between arbitrary lasers of the MIST-SL network with different MIM branch numbers as m=1, 2, 3, 4, 5, 6 respectively, a: the CCmax between S-SLN1 and S-SLN2 in the CS; b: CCmax between H-SLN in the CH and S-SLN1 in the CS; c: CCmax between H-SLN in the CH and S-SLN2 in the CS.

Equations (6)

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

C C i j ( Δ t ) = [ P i ( t + Δ t ) P i ( t + Δ t ) ] [ P j ( t ) P j ( t ) ] { [ P i ( t + Δ t ) P i ( t + Δ t ) ] 2 [ P j ( t ) P j ( t ) ] 2 } 1 / 2
d E H L ( t ) d t = 1 2 ( 1 + i α H L ) ( G H L 1 τ P ) E H L ( t ) + K H L E H L ( t τ H L ) e x p ( i 2 π f H L τ H L ) + 2 β N H L χ H L .
d N H L ( t ) d t = I e N H L ( t ) τ e G H L | E H L ( t ) | 2 .
E H S L N = 1 / m × { E H L ( t τ 1  -  τ 0 ) exp ( i 2 π f H L ( τ 1 + τ 0 ) ) + E H L ( t τ 2  -  τ 0 ) exp ( i 2 π f H L ( τ 2 + τ 0 ) ) + E H L ( t τ 3  -  τ 0 ) exp ( i 2 π f H L ( τ 3 + τ 0 ) ) + E H L ( t τ m  -  τ 0 ) exp ( i 2 π f H L ( τ m + τ 0 ) ) } .
d E S L j ( t ) d t = 1 2 ( 1 + i α S L j ) ( G S L j 1 τ p ) E S L j ( t ) + K H S E H S L N e x p ( i 2 π Δ f H S t ) + 2 β N S L j χ S L j .
d N S L j ( t ) d t = I q N S L j ( t ) τ n G S L j | E S L j ( t ) | 2 .