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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 4 — Apr. 1, 2006
  • pp: 663–670

Q-switching instability in a mode-locked semiconductor laser

Dmitrii Rachinskii, Andrei Vladimirov, Uwe Bandelow, Bernd Hüttl, and Ronald Kaiser  »View Author Affiliations

JOSA B, Vol. 23, Issue 4, pp. 663-670 (2006)

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We suggest semianalytic estimates for the Q-switching instability boundary of the continuous-wave (cw) mode-locking regime domain for a ring-cavity semiconductor laser. We use a differential delay laser model that allows us to assume large gain and loss in the cavity, which is a typical situation for this class of lasers. The Q-switching instability boundary is obtained as a Neimark–Sacker bifurcation curve of a map describing the transformation of pulse parameters after a round trip in the cavity. We study the dependence of this boundary on laser parameters and show that our theoretical results are in qualitative agreement with the experimental data obtained with a passively mode-locked monolithic semiconductor laser.

© 2006 Optical Society of America

OCIS Codes
(140.4050) Lasers and laser optics : Mode-locked lasers
(140.5960) Lasers and laser optics : Semiconductor lasers
(190.3100) Nonlinear optics : Instabilities and chaos

ToC Category:
Lasers and Laser Optics

Original Manuscript: May 27, 2005
Revised Manuscript: October 4, 2005
Manuscript Accepted: November 1, 2005

Dmitrii Rachinskii, Andrei Vladimirov, Uwe Bandelow, Bernd Hüttl, and Ronald Kaiser, "Q-switching instability in a mode-locked semiconductor laser," J. Opt. Soc. Am. B 23, 663-670 (2006)

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  1. H. A. Haus, "Parameter ranges for cw passive mode locking," IEEE J. Quantum Electron. 12, 169-176 (1976). [CrossRef]
  2. J. Palaski and K. Lau, "Parameter ranges for ultrahigh frequency mode locking of semiconductor lasers," Appl. Phys. Lett. 59, 7-9 (1991). [CrossRef]
  3. F. Kärtner, L. Brovelli, D. Kopf, M. Kamp, I. Calasso, and U. Keller, "Control of solid-state laser dynamics by semiconductor devices," Opt. Eng. 34, 2024-2036 (1995).
  4. J. L. A. Dubbeldam, J. A. Leegwater, and D. Lenstra, "Theory of mode-locked semi-conductor lasers with finite relaxation times," Appl. Phys. Lett. 70, 1938-1940 (1997). [CrossRef]
  5. C. Hönniger, R. Paschotta, F. Morier-Genoud, M. Moser, and U. Keller, "Q-switching stability limits of continuous-wave passive mode locking," J. Opt. Soc. Am. B 16, 46-56 (1999).
  6. R. Paschotta and U. Keller, "Passive mode-locking with slow saturable absorbers," Appl. Phys. B 73, 653-662 (2001). [CrossRef]
  7. T. Kolokolnikov, Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5; T. Erneux, Optique Nonlinéaire Théorique, Université Libre de Bruxelles, Campus Plaine CP 231, B-1050 Bruxelles, Belgium; N. Joly, Department of Physics, Centre for Photonics and Photonic Materials, University of Bath, Bath BA2 7AY, United Kingdom; and S. Bielawski, Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523, Centre d'Études et de Recherches Lasers et Applications, FR CNRS 2416, Université des Sciences et Technologies de Lille, F-59655 Villeneuve D'Ascq Cedex, France, are preparing a manuscript titled, "The Q-switching instability in passively mode-locked lasers."
  8. E. Avrutin, J. Marsh, and E. Portnoi, "Monolithic and multi-GigaHertz mode-locked semiconductor lasers: constructions, experiments, models, and applications," IEE Proc.: Optoelectron. 147, 251-278 (2000). [CrossRef]
  9. A. Vladimirov, D. Turaev, and G. Kozyreff, "Delay differential equations for mode-locked semiconductor lasers," Opt. Lett. 29, 1221-1223 (2004). [CrossRef] [PubMed]
  10. G. H. C. New, "Pulse evolution in mode-locked quasi-continuous lasers," IEEE J. Quantum Electron. 10, 115-124 (1974). [CrossRef]
  11. P. Mandel and T. Erneux, "Stationary, harmonic, and pulsed operations of an optically bistable laser with saturable absorber: I," Phys. Rev. A 30, 1893-1901 (1984). [CrossRef]
  12. T. Erneux, "Q-switching bifurcation in a laser with a saturable absorber," J. Opt. Soc. Am. B 5, 1063-l069 (1988). [CrossRef]
  13. M. Yamada, "A theoretical analysis of self-sustained pulsation phenomena in narrow-stripe semiconductor lasers," IEEE J. Quantum Electron. QE-29, 1330-1336 (1993). [CrossRef]
  14. H. Haus, "Theory of mode locking with a slow saturable absorber," IEEE J. Quantum Electron. 11, 736-746 (1975). [CrossRef]
  15. A. Vladimirov and D. Turaev, "Model for passive mode-locking in semiconductor lasers," Phys. Rev. A 72, 033808 (2005). [CrossRef]
  16. A. Vladimirov and D. Turaev, "A new model for a mode-locked semiconductor laser," Radiophys. Quantum Electron. 47, 857-865 (2004). [CrossRef]
  17. B. Hüttl, R. Kaiser, W. Rehbein, H. Stolpe, C. Kindel, S. Fidorra, A. Steffan, A. Umbach, and H. Heidrich, "Low noise monolithic 40GHz mode-locked DBR lasers based on GaInAsP/InP," presented at the 17th Indium Phosphide and Related Materials Conference, Glasgow, UK, 8-12 May 2005.

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