Burst synchronization in two thin-slice solid-state lasers incoherently coupled face to face
Optics Express, Vol. 13, Issue 2, pp. 358-370 (2005)
http://dx.doi.org/10.1364/OPEX.13.000358
Acrobat PDF (616 KB)
Abstract
We studied the dynamic behavior of laser-diode-pumped nonidentical thin-slice solid-state lasers, coupled face to face, with orthogonally polarized emissions. When such an incoherent mutual optical coupling was introduced, the coupled lasers exhibited slow fluctuations of transverse-mode patterns, and isolated lasers exhibited stable transversemode-patterns. When one laser exhibited nonorthogonal multi-transverse-mode operations without coupling, simultaneous random bursts of chaotic relaxation oscillations took place in both lasers over time with coupling. A plausible physical interpretation is proposed in terms of the simultaneous excitation of chaotic relaxation oscillations in both lasers through resonances that stem from interference-induced modulation of one laser at a swept beat frequency of the fluctuating nonorthogonal mode pair. Observed instabilities were well reproduced by numerical simulation of the model equation.
© 2005 Optical Society of America
1. Introduction
1. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Reports 366, 1–101 (2002). [CrossRef]
2. A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, “Localized synchronization in two coupled nonidentical semiconductor lasers,” Phys. Rev. Lett. 78, 4745–4748 (1997). [CrossRef]
5. J. Javaloyes, P. Mandel, and D. Pieroux, “Dynamical properties of lasers coupled face to face,” Phys. Rev. E 67, 036201 (2003). [CrossRef]
2. A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, “Localized synchronization in two coupled nonidentical semiconductor lasers,” Phys. Rev. Lett. 78, 4745–4748 (1997). [CrossRef]
3. T. Heil, I. Fisher, W. Elsasser, J. Mullet, and C. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86, 795–798 (2001). [CrossRef] [PubMed]
4. J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E 65, 036229 (2002). [CrossRef]
5. J. Javaloyes, P. Mandel, and D. Pieroux, “Dynamical properties of lasers coupled face to face,” Phys. Rev. E 67, 036201 (2003). [CrossRef]
6. K. Otsuka, J.Y. Ko, T. Ohtomo, and K. Ohki, “Information circulation in a two-mode solid-state laser with optical feedback,” Phys. Rev. E 64, 056239 (2001). [CrossRef]
7. M. H. Ulrich, L. Maraschi, and C. M. Urry, “Variability of active galactic nuclei,” Ann. Rev. Astron. Astrophys. 35, 445–502 (1997). [CrossRef]
8. R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I. Rabinovich, and H. D. I. Abarbanel, “Synchronous behavior of two coupled biological neurons,” Phys. Rev. Lett. 81, 5692–5695 (1998). [CrossRef]
9. F. C. Hoppenstead and E. M. Izhikevich, Weakly Connected Neural Networks (Springer, New York1997). [CrossRef]
10. K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
2. Experimental setup, oscillation spectra and destabilization of transverse mode
10. K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
3. Burst synchronization in lasers coupled face to face
3.1. Global view of burst synchronization
3.2. Resonant excitation of chaotic relaxation oscillations
10. K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
11. K. Otsuka, J.Y. Ko, H. Makino, T. Ohtomo, and A. Okamoto,“Transverse effects in a microchip laser with asymmetric emd-pumping: modal interference and dynamic instability,” J. Opt. Quantum Semiclass. Opt. 5, R137–R145 (2003). [CrossRef]
10. K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
11. K. Otsuka, J.Y. Ko, H. Makino, T. Ohtomo, and A. Okamoto,“Transverse effects in a microchip laser with asymmetric emd-pumping: modal interference and dynamic instability,” J. Opt. Quantum Semiclass. Opt. 5, R137–R145 (2003). [CrossRef]
3.3. Fast modulation without bursting: evidence of modal interference
3. T. Heil, I. Fisher, W. Elsasser, J. Mullet, and C. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86, 795–798 (2001). [CrossRef] [PubMed]
4. J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E 65, 036229 (2002). [CrossRef]
1. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Reports 366, 1–101 (2002). [CrossRef]
2. A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, “Localized synchronization in two coupled nonidentical semiconductor lasers,” Phys. Rev. Lett. 78, 4745–4748 (1997). [CrossRef]
4. Numerical simulation of excitation of chaotic burst through resonances
10. K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
11. K. Otsuka, J.Y. Ko, H. Makino, T. Ohtomo, and A. Okamoto,“Transverse effects in a microchip laser with asymmetric emd-pumping: modal interference and dynamic instability,” J. Opt. Quantum Semiclass. Opt. 5, R137–R145 (2003). [CrossRef]
3. T. Heil, I. Fisher, W. Elsasser, J. Mullet, and C. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86, 795–798 (2001). [CrossRef] [PubMed]
4. J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E 65, 036229 (2002). [CrossRef]
1. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Reports 366, 1–101 (2002). [CrossRef]
2. A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, “Localized synchronization in two coupled nonidentical semiconductor lasers,” Phys. Rev. Lett. 78, 4745–4748 (1997). [CrossRef]
3. T. Heil, I. Fisher, W. Elsasser, J. Mullet, and C. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86, 795–798 (2001). [CrossRef] [PubMed]
4. J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E 65, 036229 (2002). [CrossRef]
5. Dynamic characterization of burst synchronization
15. D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy , “Experimental observation of noise-induced synchronization of bursting dynamical systems,” D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy, IEEE J.. Sel. Top. Quantum Electron.10, 906–910 (2004). [CrossRef]
15. D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy , “Experimental observation of noise-induced synchronization of bursting dynamical systems,” D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy, IEEE J.. Sel. Top. Quantum Electron.10, 906–910 (2004). [CrossRef]
6. Summary
References and links
1. | S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, “The synchronization of chaotic systems,” Phys. Reports 366, 1–101 (2002). [CrossRef] |
2. | A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, “Localized synchronization in two coupled nonidentical semiconductor lasers,” Phys. Rev. Lett. 78, 4745–4748 (1997). [CrossRef] |
3. | T. Heil, I. Fisher, W. Elsasser, J. Mullet, and C. Mirasso, “Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,” Phys. Rev. Lett. 86, 795–798 (2001). [CrossRef] [PubMed] |
4. | J. K. White, M. Matus, and J. V. Moloney, “Achronal generalized synchronization in mutually coupled semiconductor lasers,” Phys. Rev. E 65, 036229 (2002). [CrossRef] |
5. | J. Javaloyes, P. Mandel, and D. Pieroux, “Dynamical properties of lasers coupled face to face,” Phys. Rev. E 67, 036201 (2003). [CrossRef] |
6. | K. Otsuka, J.Y. Ko, T. Ohtomo, and K. Ohki, “Information circulation in a two-mode solid-state laser with optical feedback,” Phys. Rev. E 64, 056239 (2001). [CrossRef] |
7. | M. H. Ulrich, L. Maraschi, and C. M. Urry, “Variability of active galactic nuclei,” Ann. Rev. Astron. Astrophys. 35, 445–502 (1997). [CrossRef] |
8. | R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I. Rabinovich, and H. D. I. Abarbanel, “Synchronous behavior of two coupled biological neurons,” Phys. Rev. Lett. 81, 5692–5695 (1998). [CrossRef] |
9. | F. C. Hoppenstead and E. M. Izhikevich, Weakly Connected Neural Networks (Springer, New York1997). [CrossRef] |
10. | K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, “Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,” Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed] |
11. | K. Otsuka, J.Y. Ko, H. Makino, T. Ohtomo, and A. Okamoto,“Transverse effects in a microchip laser with asymmetric emd-pumping: modal interference and dynamic instability,” J. Opt. Quantum Semiclass. Opt. 5, R137–R145 (2003). [CrossRef] |
12. | M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, “From phase to lag synchronization in coupled chaotic oscillators,” Phys. Rev. Lett. 78, 4193–4196 (1997). [CrossRef] |
13. | P. G. Drazin, Nonlinear Systems, Cambridge Texts in Applied Mathematics (Cambridge U. Press, Cambridge, UK, 1992). |
14. | J. C. Celet, D. Dangoisse, and P. Glorieux, “Slowly passing through resonance strongly depends on noise,” Phys. Rev. Lett. 81, 975–978 (1998). [CrossRef] |
15. | D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy , “Experimental observation of noise-induced synchronization of bursting dynamical systems,” D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy, IEEE J.. Sel. Top. Quantum Electron.10, 906–910 (2004). [CrossRef] |
OCIS Codes
(140.3480) Lasers and laser optics : Lasers, diode-pumped
(140.3580) Lasers and laser optics : Lasers, solid-state
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
ToC Category:
Research Papers
History
Original Manuscript: November 17, 2004
Revised Manuscript: December 22, 2004
Published: January 24, 2005
Citation
Takayuki Ohtomo, Yoshihiko Miyasaka, Kenju Otsuka, Akane Okamoto, and Jing-Yuan Ko, "Burst synchronization in two thin-slice solid-state lasers incoherently coupled face to face," Opt. Express 13, 358-370 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-2-358
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References
- S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, �??The synchronization of chaotic systems,�?? Phys. Reports 366, 1-101 (2002). [CrossRef]
- A. Hohl, A. Gavrielides, T. Eurnex, and V. Kovanis, �??Localized synchronization in two coupled nonidentical semiconductor lasers,�?? Phys. Rev. Lett. 78, 4745-4748 (1997). [CrossRef]
- T. Heil, I. Fisher, W. Elsasser,J. Mullet, and C. Mirasso, �??Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers,�?? Phys. Rev. Lett. 86, 795-798 (2001). [CrossRef] [PubMed]
- J. K. White, M. Matus, and J. V. Moloney, �??Achronal generalized synchronization in mutually coupled semiconductor lasers,�?? Phys. Rev. E 65, 036229 (2002). [CrossRef]
- J. Javaloyes, P. Mandel, and D. Pieroux, �??Dynamical properties of lasers coupled face to face,�?? Phys. Rev. E 67, 036201 (2003). [CrossRef]
- K. Otsuka, J.Y. Ko, T. Ohtomo, and K. Ohki, �??Information circulation in a two-mode solid-state laser with optical feedback,�?? Phys. Rev. E 64, 056239 (2001). [CrossRef]
- M. H. Ulrich, L. Maraschi, and C. M. Urry, �??Variability of active galactic nuclei,�?? Ann. Rev. Astron. Astrophys. 35, 445-502 (1997). [CrossRef]
- R. C. Elson, A. I. Selverston, R. Huerta, N. F. Rulkov, M. I. Rabinovich, and H. D. I. Abarbanel, �??Synchronous behavior of two coupled biological neurons,�?? Phys. Rev. Lett. 81, 5692-5695 (1998). [CrossRef]
- F. C. Hoppenstead and E. M. Izhikevich, Weakly Connected Neural Networks (Springer, New York 1997). [CrossRef]
- K. Otsuka, J.Y. Ko, T.S. Lim, and H. Makino, �??Modal interference and dynamical instability in a solid-state slice laser with asymmetric end-pumping,�?? Phys. Rev. Lett. 89, 083903 (2002). [CrossRef] [PubMed]
- K. Otsuka, J.Y. Ko, H. Makino, T. Ohtomo, and A. Okamoto, "Transverse effects in a microchip laser with asymmetric emd-pumping: modal interference and dynamic instability,�?? J. Opt. Quantum Semiclass. Opt. 5, R137-R145 (2003). [CrossRef]
- M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, �??From phase to lag synchronization in coupled chaotic oscillators,�?? Phys. Rev. Lett. 78, 4193-4196 (1997). [CrossRef]
- P. G. Drazin, Nonlinear Systems, Cambridge Texts in Applied Mathematics (Cambridge U. Press, Cambridge, UK, 1992).
- J. C. Celet, D. Dangoisse, and P. Glorieux, �??Slowly passing through resonance strongly depends on noise,�?? Phys. Rev. Lett. 81, 975 -978 (1998). [CrossRef]
- D. J. DeShazer, B. P. Tighe, J. Kurths, and R. Roy, �??Experimental observation of noise-induced synchronization of bursting dynamical systems,�?? IEEE J. Sel. Top. Quantum Electron. 10, 906-910 (2004). [CrossRef]
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