Phase-locking phenomenon in a semiconductor laser with external cavities

doi:10.1364/OE.14.012859

Phase-locking phenomenon in a semiconductor laser with external cavities

F. R. Ruiz-Oliveras and A. N. Pisarchik »View Author Affiliations

Optics Express, Vol. 14, Issue 26, pp. 12859-12867 (2006)
http://dx.doi.org/10.1364/OE.14.012859

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Abstract

Phase-locked solutions are found numerically in a semiconductor laser with one and two external cavities. Different periodic, quasiperiodic, chaotic, and steady-state regimes form Arnold’s tongues in bi-dimensional parameter spaces of the length and feedback strengths of the external cavities and the pump parameter. This rich structure gives additional possibility for controlling complex dynamics and chaos in a semiconductor laser with external cavities by properly adjusting their lengths and feedback strengths.

OCIS Codes
(140.5960) Lasers and laser optics : Semiconductor lasers
(190.3100) Nonlinear optics : Instabilities and chaos

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: September 28, 2006
Revised Manuscript: November 21, 2006
Manuscript Accepted: November 26, 2006
Published: December 22, 2006

Citation
F. R. Ruiz-Oliveras and A. N. Pisarchik, "Phase-locking phenomenon in a semiconductor laser with external cavities," Opt. Express 14, 12859-12867 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-12859

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References

J. Ohtsubo, Semiconductor Lasers: Stability, Instability and Chaos, Springer Series in Optical Sciences, vol. 111 (Springer-Verlag, Berlin, 2005).
P. Besnard, B. Meziane, and G. N. Stephan, "Feedback phenomena in a semiconductor laser induced by distant reflectors," IEEE J. Quantum Electron. 29, 1271 (1993). [CrossRef]
M. Giudici, C. Green, G. Giacomelli, U. Nespolo, and J. R. Tredicce, "Andronov bifurcation and excitability in semiconductor laser with optical feedback," Phys. Rev. E 55, 6414 (1997). [CrossRef]
R. P. Salathe, "Diode lasers coupled to external resonators," Appl. Phys. 20, 1 (1979). [CrossRef]
D. Lenstra, B. H. Verbeek, and A. J. den Boef, "Coherence Collapse in Single-Mode. Semiconductor Lasers Due to Optical Feedback," IEEE J. Quantum Electron. 21, 674 (1985). [CrossRef]
M. Jesper, T. Bjarne, and M. Jannik, "Chaos in semiconductor laser with optical feedback: theory and experiment," IEEE J. Quantum Electron. 28, 93 (1992). [CrossRef]
T. K. Sano, "Antimode-dynamics and chaotic itinerancy in the coherence collapse of semiconductor lasers with optical feedback," Phys. Rev. A 50, 2719 (1994). [CrossRef] [PubMed]
Y. Liu and J. Ohtsubo, "Dynamics and Chaos Stabilization of Semiconductor Lasers with Optical Feedback from an Interferometer," IEEE J. Quantum Electron. 33, 1163 (1997). [CrossRef]
F. Rogister, P. Mégret, O. Deparis, M. Blondel, and T. Erneux, "Suppression of low frequency fluctuations and stabilization of a semiconductor laser subject to optical feedback from a double cavity: theoretical results," Opt. Lett. 24, 1218 (1999). [CrossRef]
F. Rogister, D. W. Sukow, A. Gavrielides, P. Mégret, O. Deparis, and M. Blondel, "Experimental demonstration of suppression of low-frequency fluctuations and stabilization of an external cavity laser diode," Opt. Lett. 25, 808 (2000). [CrossRef]
V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, Berlin, 1989).
J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, and G. B. Mindlin, "Dynamics of periodically forced semiconductor laser with optical feedback," Phys. Rev. E 63, 066218 (2001). [CrossRef]
R. Lang and K Kobayashi, "External Optical Feedback Effects on Semiconductor Injection Laser Properties," IEEE J. Quantum Electron. 16, 347-355 (1980). [CrossRef]
S. Sivapakrasam, E. M. Shahverdi, and K. A. Shore, "Experimental verification of the synchronization condition for chaotic external cavity diode lasers," Phys. Rev. E 62, 7505-7507 (2000). [CrossRef]
T.W. Carr, "Onset of instabilities in self-pulsing semiconductor lasers with delayed feedback," Eur. Phys. J. D 19, 245-255 (2002). [CrossRef]
T. Heil, I. Fischer, W . ElsäBer, B . Krauskopf, K . Green, and A. Gavrielides, "Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms," Phys. Rev. E 67, 066214 (2003). [CrossRef]
H. G. Shuster, Deterministic Chaos (VCH Verlag, Weinheim, 1988).

Appl. Phys.

R. P. Salathe, "Diode lasers coupled to external resonators," Appl. Phys. 20, 1 (1979). [CrossRef]

Eur. Phys. J. D

T.W. Carr, "Onset of instabilities in self-pulsing semiconductor lasers with delayed feedback," Eur. Phys. J. D 19, 245-255 (2002). [CrossRef]

IEEE J. Quantum Electron.

R. Lang and K Kobayashi, "External Optical Feedback Effects on Semiconductor Injection Laser Properties," IEEE J. Quantum Electron. 16, 347-355 (1980). [CrossRef]
P. Besnard, B. Meziane, and G. N. Stephan, "Feedback phenomena in a semiconductor laser induced by distant reflectors," IEEE J. Quantum Electron. 29, 1271 (1993). [CrossRef]
D. Lenstra, B. H. Verbeek, and A. J. den Boef, "Coherence Collapse in Single-Mode. Semiconductor Lasers Due to Optical Feedback," IEEE J. Quantum Electron. 21, 674 (1985). [CrossRef]
M. Jesper, T. Bjarne, and M. Jannik, "Chaos in semiconductor laser with optical feedback: theory and experiment," IEEE J. Quantum Electron. 28, 93 (1992). [CrossRef]
Y. Liu and J. Ohtsubo, "Dynamics and Chaos Stabilization of Semiconductor Lasers with Optical Feedback from an Interferometer," IEEE J. Quantum Electron. 33, 1163 (1997). [CrossRef]

Opt. Lett.

Phys. Rev. A

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

Phys. Rev. E

M. Giudici, C. Green, G. Giacomelli, U. Nespolo, and J. R. Tredicce, "Andronov bifurcation and excitability in semiconductor laser with optical feedback," Phys. Rev. E 55, 6414 (1997). [CrossRef]
J. M. Mendez, R. Laje, M. Giudici, J. Aliaga, and G. B. Mindlin, "Dynamics of periodically forced semiconductor laser with optical feedback," Phys. Rev. E 63, 066218 (2001). [CrossRef]
S. Sivapakrasam, E. M. Shahverdi, and K. A. Shore, "Experimental verification of the synchronization condition for chaotic external cavity diode lasers," Phys. Rev. E 62, 7505-7507 (2000). [CrossRef]
T. Heil, I. Fischer, W . ElsäBer, B . Krauskopf, K . Green, and A. Gavrielides, "Delay dynamics of semiconductor lasers with short external cavities: Bifurcation scenarios and mechanisms," Phys. Rev. E 67, 066214 (2003). [CrossRef]

Other

H. G. Shuster, Deterministic Chaos (VCH Verlag, Weinheim, 1988).
J. Ohtsubo, Semiconductor Lasers: Stability, Instability and Chaos, Springer Series in Optical Sciences, vol. 111 (Springer-Verlag, Berlin, 2005).
V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, Berlin, 1989).

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