Abstract

We examine the dynamics of semiconductor lasers coupled in a ring configuration. The lasers, which have stable output intensity when isolated, behave chaotically when coupled unidirectionally in a closed chain. In this way, we show that neither feedback nor bidirectional coupling is necessary to induce chaotic dynamics at the laser output. We study the synchronization phenomena arising in this particular coupling architecture and discuss its possible application to chaos-based communications. Next, we extend the study to bidirectional coupling and propose an appropriate technique to optical chaos encryption/decryption in closed chains of mutually coupled semiconductor lasers.

© 2007 IEEE

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  2. L. Kocarev, U. Parlitz, "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031 (1995).
  3. J. H. Xiao, G. Hu, Z. Qu, "Synchronization of spatiotemporal chaos and its application to multichannel spread-spectrum communication," Phys. Rev. Lett. 77, 4162 (1995).
  4. U. Parlitz, L. Kocarev, T. Stojanovski, H. Preckel, "Encoding messages using chaotic synchronization," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 53, 4351-4361 (1996).
  5. A. Uchida, F. Rogister, J. Garca-Ojalvo, R. Roy, "Synchronization and communication with chaotic laser systems," Prog. Opt. 48, 203-341 (2005).
  6. P. Colet, R. Roy, "Digital communications with synchronized chaotic lasers," Opt. Lett. 19, 2056-2058 (1994).
  7. C. R. Mirasso, P. Colet, P. García-Fernández, "Synchronization of chaotic semiconductor lasers: Application to encoded communication ," IEEE Photon. Technol. Lett. 8, 299-301 (1996).
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  9. "Fundamental issues of nonlinear laser dynamics," AIP Conf. Proc. (2000).
  10. A. Sánchez-Díaz, C. R. Mirasso, P. Colet, P. García-Fernández, "Encoded Gb/s digital communications with synchronized chaotic semiconductor lasers," IEEE J. Quantum Electron. 35, 292-297 (1999).
  11. J. Paul, S. Sivaprakasam, P. S. Spencer, P. Rees, K. A. Shore, "GHz bandwidth message transmission using chaotic diode lasers," Electron. Lett. 38, 28-29 (2002).
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  13. J. K. White, J. V. Moloney, "Multichannel communication using an infinite dimensional spatiotemporal chaotic system ," Phys. Rev. A, Gen. Phys. 59, 2422-2426 (1999).
  14. J. M. Buldú, J. García-Ojalvo, M. C. Torrent, "Multimode synchronization and communication using unidirectionally coupled semiconductor lasers ," IEEE J. Quantum Electron. 40, 640-650 (2004).
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  17. R. Lang, K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).
  18. V. Annovazzi-Lodi, S. Donati, A. Scire, "Synchronization of chaotic injected-laser systems and its application to optical cryptography ," IEEE J. Quantum Electron. 32, 953-959 (1996).
  19. T. Heil, I. Fischer, W. Elsässer, J. Mulet, C. R. Mirasso, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).
  20. J. Mulet, C. R. Mirasso, T. Heil, I. Fischer, "Synchronization scenario of two distant mutually coupled semiconductor lasers," J. Opt. B, Quantum Semiclass. Opt. 6, 97-105 (2004).
  21. G. H. M. Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87-143 (1995).
  22. D. W. Sukow, T. Heil, I. Fischer, A. Gavrielides, A. Hohl-AbiChedid, W. Elsässer, "Picosecond intensity statistics of semiconductor lasers operating in the low-frequency fluctuation regime," Phys. Rev. A, Gen. Phys. 60, 667-673 (1999).
  23. T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A, Gen. Phys. 50, 2719-2726 (1994).
  24. J. M. Buldú, T. Heil, I. Fischer, M. C. Torrent, J. García-Ojalvo, "Episodic synchronization via dynamical injection," Phys. Rev. Lett. 96, 024 102 (2006).
  25. I. Fischer, R. Vicente, J. M. Buldú, M. Peil, M. C. Torrent, C. R. Mirasso, J. García-Ojalvo, "Zero-lag long-range synchronization via dynamical relaying," Phys. Rev. Lett. 97, 123902 (2006).
  26. R. Vicente, C. R. Mirasso, I. Fischer, "Simultaneous bidirectional message transmission in a chaos-based communication scheme ," Opt. Lett. 32, 403-405 (2007).

2007 (1)

2006 (2)

J. M. Buldú, T. Heil, I. Fischer, M. C. Torrent, J. García-Ojalvo, "Episodic synchronization via dynamical injection," Phys. Rev. Lett. 96, 024 102 (2006).

I. Fischer, R. Vicente, J. M. Buldú, M. Peil, M. C. Torrent, C. R. Mirasso, J. García-Ojalvo, "Zero-lag long-range synchronization via dynamical relaying," Phys. Rev. Lett. 97, 123902 (2006).

2005 (2)

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

A. Uchida, F. Rogister, J. Garca-Ojalvo, R. Roy, "Synchronization and communication with chaotic laser systems," Prog. Opt. 48, 203-341 (2005).

2004 (2)

J. M. Buldú, J. García-Ojalvo, M. C. Torrent, "Multimode synchronization and communication using unidirectionally coupled semiconductor lasers ," IEEE J. Quantum Electron. 40, 640-650 (2004).

J. Mulet, C. R. Mirasso, T. Heil, I. Fischer, "Synchronization scenario of two distant mutually coupled semiconductor lasers," J. Opt. B, Quantum Semiclass. Opt. 6, 97-105 (2004).

2002 (1)

J. Paul, S. Sivaprakasam, P. S. Spencer, P. Rees, K. A. Shore, "GHz bandwidth message transmission using chaotic diode lasers," Electron. Lett. 38, 28-29 (2002).

2001 (1)

T. Heil, I. Fischer, W. Elsässer, J. Mulet, C. R. Mirasso, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).

1999 (3)

D. W. Sukow, T. Heil, I. Fischer, A. Gavrielides, A. Hohl-AbiChedid, W. Elsässer, "Picosecond intensity statistics of semiconductor lasers operating in the low-frequency fluctuation regime," Phys. Rev. A, Gen. Phys. 60, 667-673 (1999).

A. Sánchez-Díaz, C. R. Mirasso, P. Colet, P. García-Fernández, "Encoded Gb/s digital communications with synchronized chaotic semiconductor lasers," IEEE J. Quantum Electron. 35, 292-297 (1999).

J. K. White, J. V. Moloney, "Multichannel communication using an infinite dimensional spatiotemporal chaotic system ," Phys. Rev. A, Gen. Phys. 59, 2422-2426 (1999).

1998 (1)

G. D. VanWiggeren, R. Roy, "Communication with chaotic lasers," Science 279, 1198-1200 (1998).

1996 (3)

C. R. Mirasso, P. Colet, P. García-Fernández, "Synchronization of chaotic semiconductor lasers: Application to encoded communication ," IEEE Photon. Technol. Lett. 8, 299-301 (1996).

V. Annovazzi-Lodi, S. Donati, A. Scire, "Synchronization of chaotic injected-laser systems and its application to optical cryptography ," IEEE J. Quantum Electron. 32, 953-959 (1996).

U. Parlitz, L. Kocarev, T. Stojanovski, H. Preckel, "Encoding messages using chaotic synchronization," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 53, 4351-4361 (1996).

1995 (3)

L. Kocarev, U. Parlitz, "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031 (1995).

J. H. Xiao, G. Hu, Z. Qu, "Synchronization of spatiotemporal chaos and its application to multichannel spread-spectrum communication," Phys. Rev. Lett. 77, 4162 (1995).

G. H. M. Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87-143 (1995).

1994 (2)

T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A, Gen. Phys. 50, 2719-2726 (1994).

P. Colet, R. Roy, "Digital communications with synchronized chaotic lasers," Opt. Lett. 19, 2056-2058 (1994).

1993 (1)

K. M. Cuomo, A. V. Oppenheim, "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. Lett. 71, 65-68 (1993).

1980 (1)

R. Lang, K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).

Electron. Lett. (1)

J. Paul, S. Sivaprakasam, P. S. Spencer, P. Rees, K. A. Shore, "GHz bandwidth message transmission using chaotic diode lasers," Electron. Lett. 38, 28-29 (2002).

IEEE J. Quantum Electron. (4)

J. M. Buldú, J. García-Ojalvo, M. C. Torrent, "Multimode synchronization and communication using unidirectionally coupled semiconductor lasers ," IEEE J. Quantum Electron. 40, 640-650 (2004).

R. Lang, K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347-355 (1980).

V. Annovazzi-Lodi, S. Donati, A. Scire, "Synchronization of chaotic injected-laser systems and its application to optical cryptography ," IEEE J. Quantum Electron. 32, 953-959 (1996).

A. Sánchez-Díaz, C. R. Mirasso, P. Colet, P. García-Fernández, "Encoded Gb/s digital communications with synchronized chaotic semiconductor lasers," IEEE J. Quantum Electron. 35, 292-297 (1999).

IEEE Photon. Technol. Lett. (1)

C. R. Mirasso, P. Colet, P. García-Fernández, "Synchronization of chaotic semiconductor lasers: Application to encoded communication ," IEEE Photon. Technol. Lett. 8, 299-301 (1996).

J. Opt. B, Quantum Semiclass. Opt. (1)

J. Mulet, C. R. Mirasso, T. Heil, I. Fischer, "Synchronization scenario of two distant mutually coupled semiconductor lasers," J. Opt. B, Quantum Semiclass. Opt. 6, 97-105 (2004).

Nature (1)

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

Opt. Lett. (2)

Phys. Rev. A, Gen. Phys. (3)

J. K. White, J. V. Moloney, "Multichannel communication using an infinite dimensional spatiotemporal chaotic system ," Phys. Rev. A, Gen. Phys. 59, 2422-2426 (1999).

D. W. Sukow, T. Heil, I. Fischer, A. Gavrielides, A. Hohl-AbiChedid, W. Elsässer, "Picosecond intensity statistics of semiconductor lasers operating in the low-frequency fluctuation regime," Phys. Rev. A, Gen. Phys. 60, 667-673 (1999).

T. Sano, "Antimode dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A, Gen. Phys. 50, 2719-2726 (1994).

Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (1)

U. Parlitz, L. Kocarev, T. Stojanovski, H. Preckel, "Encoding messages using chaotic synchronization," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 53, 4351-4361 (1996).

Phys. Rev. Lett. (6)

J. M. Buldú, T. Heil, I. Fischer, M. C. Torrent, J. García-Ojalvo, "Episodic synchronization via dynamical injection," Phys. Rev. Lett. 96, 024 102 (2006).

I. Fischer, R. Vicente, J. M. Buldú, M. Peil, M. C. Torrent, C. R. Mirasso, J. García-Ojalvo, "Zero-lag long-range synchronization via dynamical relaying," Phys. Rev. Lett. 97, 123902 (2006).

K. M. Cuomo, A. V. Oppenheim, "Circuit implementation of synchronized chaos with applications to communications," Phys. Rev. Lett. 71, 65-68 (1993).

L. Kocarev, U. Parlitz, "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031 (1995).

J. H. Xiao, G. Hu, Z. Qu, "Synchronization of spatiotemporal chaos and its application to multichannel spread-spectrum communication," Phys. Rev. Lett. 77, 4162 (1995).

T. Heil, I. Fischer, W. Elsässer, J. Mulet, C. R. Mirasso, "Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers," Phys. Rev. Lett. 86, 795-798 (2001).

Prog. Opt. (1)

A. Uchida, F. Rogister, J. Garca-Ojalvo, R. Roy, "Synchronization and communication with chaotic laser systems," Prog. Opt. 48, 203-341 (2005).

Quantum Semiclass. Opt. (1)

G. H. M. Tartwijk, D. Lenstra, "Semiconductor lasers with optical injection and feedback," Quantum Semiclass. Opt. 7, 87-143 (1995).

Science (1)

G. D. VanWiggeren, R. Roy, "Communication with chaotic lasers," Science 279, 1198-1200 (1998).

Other (3)

"Fundamental issues of nonlinear laser dynamics," AIP Conf. Proc. (2000).

G. P. Agrawal, N. K. Dutta, Semiconductor Lasers (Kluwer, 1993).

C. O. Weiss, R. Vilaseca, Dynamics of Lasers (VCH, 1991).

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