OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 12, Iss. 6 — Jun. 1, 1995
  • pp: 1150–1156

Relaxation-oscillation-induced chaotic instabilities in modulated external-cavity semiconductor lasers

Benson C. Lam, Mikhail M. Sushchik, Henry D. I. Abarbanel, Albert L. Kellner, and Paul K. L. Yu  »View Author Affiliations


JOSA B, Vol. 12, Issue 6, pp. 1150-1156 (1995)
http://dx.doi.org/10.1364/JOSAB.12.001150


View Full Text Article

Enhanced HTML    Acrobat PDF (449 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We theoretically examine the consequences of modulating an external-cavity semiconductor laser around its mode-locking resonant frequency. When the modulation frequency is below resonance, the laser exhibits a three-frequency route to chaos. When the modulation frequency is above resonance, the laser oscillates in two- and three-frequency states. The chaotic instability is a result of the nonlinear interaction of three periodic modes of the laser system. These modes are dynamical manifestations of the composite cavity mode-locking resonance, the applied field that is due to the modulation, and the laser relaxation oscillation.

© 1995 Optical Society of America

Citation
Benson C. Lam, Mikhail M. Sushchik, Henry D. I. Abarbanel, Albert L. Kellner, and Paul K. L. Yu, "Relaxation-oscillation-induced chaotic instabilities in modulated external-cavity semiconductor lasers," J. Opt. Soc. Am. B 12, 1150-1156 (1995)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-6-1150


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. C. Lam, A. L. Kellner, M. M. Sushchik, H. D. I. Abarbanel, and P. K. L. Yu, "Observation of chaotic instability in the active mode locking of a semiconductor laser," J. Opt. Soc. Am. B 10, 2065–2070 (1993). [CrossRef]
  2. H. Olesen, J. H. Osmundsen, and B. Tromborg, "Nonlinear dynamics and spectral behavior for an external cavity laser," IEEE J. Quantum Electron. QE-22, 762–773 (1986). [CrossRef]
  3. A. Ritter and H. Haug, "Theory of laser diodes with weak optical feedback, Parts I and II," J. Opt. Soc. Am. B 10, 130–153 (1993). [CrossRef]
  4. J. A. Glazier and A. Libchaber, "Quasi-periodicity and dynamical systems: an experimentalist's view," IEEE Trans. Circuits Syst. 35, 790–809 (1988). [CrossRef]
  5. P. Bryant and C. Jeffries, "The dynamics of phase locking and points of resonance in a forced magnetic oscillator," Physica D 25D, 196–232 (1987). [CrossRef]
  6. J. Sacher, D. Baums, P. Panknin, W. Elsasser, and E. Gobel, "Intensity instabilities of semiconductor lasers under current modulation, external light injection, and delayed feedback," Phys. Rev. A 45, 1893–1905 (1992). [CrossRef] [PubMed]
  7. H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. S. Tsimring, "The analysis of observed chaotic data in physical systems," Rev. Mod. Phys. 65, 1331–1392 (1993). [CrossRef]
  8. R. Lang and K. Kobayashi, "External optical feedback effects on semiconductor injection laser properties," IEEE J. Quantum Electron. QE-16, 347–355 (1980). [CrossRef]
  9. B. Tromborg, J. H. Osmundsen, and H. Olesen, "Stability analysis for a semiconductor laser in an external cavity," IEEE J. Quantum Electron. QE-20, 1023–1032 (1984). [CrossRef]
  10. K. Y. Lau and A. Yariv, "High-frequency current modulation of semiconductor lasers," in Semiconductor and Semimetals, W.T. Tsang, ed. (Academic, Orlando, Fla., 1985), Vol. 22, Part B. [CrossRef]
  11. G. P. Agrawal and N. K. Dutta, Long Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986), p. 220. [CrossRef]
  12. T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems (Springer-Verlag, New York, 1989). [CrossRef]
  13. F. Takens, Detecting Strange Attractors in Turbulence. Lecture Notes in Mathematics No. 898 (Springer-Verlag, New York, 1980).
  14. A. M. Fraser and H. L. Swinney, "Independent coordinates for strange attractors from mutual information," Phys. Rev. A 33, 1134–1140 (1986). [CrossRef] [PubMed]
  15. P. Grassberger and I. Procaccia, "Measuring the strangeness of strange attractors," Physica D 9D, 189–208, 1983. [CrossRef]
  16. J. Theiler, "Estimating fractal dimension," J. Opt. Soc. Am. A 7, 1055–1073 (1990). [CrossRef]
  17. J. P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617–656 (1985). [CrossRef]
  18. R. Brown, P. B. Bryant, and H. D. I. Abarbanel, "Computing the Lyapunov spectrum of a dynamical system from observed time series," Phys. Rev. A 43, 2787–2806 (1991). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited