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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 10, Iss. 11 — Nov. 1, 1993
  • pp: 2065–2070

Observation of chaotic instability in the active mode locking of a semiconductor laser

B. C. Lam, A. L. Kellner, M. M. Sushchik, H. D. I. Abarbanel, and P. K. L. Yu  »View Author Affiliations


JOSA B, Vol. 10, Issue 11, pp. 2065-2070 (1993)
http://dx.doi.org/10.1364/JOSAB.10.002065


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Abstract

We examine experimentally the consequence of frequency detuning an actively mode-locked external-cavity semiconductor laser from resonance. We observe a transition of the laser system from a periodic oscillation to a nonperiodic state with broadened spectral tones. By estimating the fractal dimension of the corresponding phase-space attractors, we show the presence of low-dimensional chaos. The route to chaos is a well-defined regime of three-frequency quasi-periodicity preceded by a two-frequency quasi-periodicity.

© 1993 Optical Society of America

History
Original Manuscript: September 24, 1992
Published: November 1, 1993

Citation
B. C. Lam, M. M. Sushchik, H. D. I. Abarbanel, P. K. L. Yu, and A. L. Kellner, "Observation of chaotic instability in the active mode locking of a semiconductor laser," J. Opt. Soc. Am. B 10, 2065-2070 (1993)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-10-11-2065


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References

  1. K. Y. Lau, IEEE J. Quantum Electron. 26, 250 (1990). [CrossRef]
  2. S. Levy, R. Nagarajan, A. Mar, P. Humphrey, J. E. Bowers, Electron. Lett. 28, 2103 (1992). [CrossRef]
  3. A. L. Kellner, B. C. Lam, G. S. Yan, P. K. L. Yu, Electron. Lett. 25, 1291 (1989). [CrossRef]
  4. H. G. Winful, Y. C. Chen, J. M. Liu, Appl. Phys. Lett. 48, 616 (1986). [CrossRef]
  5. J. Mork, J. Mark, B. Tromborg, Phys. Rev. Lett. 65, 1999 (1990). [CrossRef] [PubMed]
  6. L. A. Melnikov, E. M. Rabinovich, V. V. Tuchin, J. Opt. Soc. Am. B 5, 1134 (1988). [CrossRef]
  7. D. L. MacFarlane, L. W. Casperson, J. Opt. Soc. Am. B 7, 285 (1990). [CrossRef]
  8. D. L. MacFarlane, L. W. Casperson, J. Opt. Soc. Am. B 4, 1777 (1987). [CrossRef]
  9. An attractor is a set of points in phase space that the state of a system approaches after transients die out. The phase space is a mathematical Euclidean space whose coordinates are the dynamical variables or the state variables of a dynamical system. See Ref. 10.
  10. F. C. Moon, Chaotic Vibrations (Wiley, New York, 1987), p. 56.
  11. Quasi-periodicity refers to a dynamical state of oscillation involving a finite number of discrete frequencies wherein the ratio of any two frequencies is an irrational number. See Ref. 12.
  12. T. S. Parker, L. O. Chua, Practical Numerical Algorithm for Chaotic Systems (Springer-Verlag, Berlin, 1989), p. 167. [CrossRef]
  13. S. Newhouse, D. Ruelle, F. Takens, Commun. Math. Phys. 64, 35 (1978), p. 100. [CrossRef]
  14. O. P. MacDuff, S. E. Harris, IEEE J. Quantum Electron. QE-3, 101 (1967). [CrossRef]
  15. M. Sargent, M. O. Scully, W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974).
  16. H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, L. S. Tsimring, Rev. Mod. Phys. (to be published).
  17. P. Grassberger, I. Procaccia, Physica D 9, 189 (1983). [CrossRef]
  18. N. B. Abraham, A. M. Albano, B. Das, G. De Guzman, S. Yong, R. S. Gioggia, G. P. Puccioni, J. R. Tredicce, Phys. Lett. A 114, 217 (1986). [CrossRef]
  19. N. H. Packard, J. P. Crutchfield, J. D. Farmer, R. S. Shaw, Phys. Rev. Lett. 45, 712 (1980). [CrossRef]
  20. J. P. Eckmann, D. Ruelle, Rev. Mod. Phys. 57, 617 (1985). [CrossRef]
  21. F. Takens, Detecting Strange Attractors in Turbulence, Vol. 898 of Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1980), p. 366.
  22. J. M. Costa, B. C. Lam, A. L. Kellner, D. C. Campion, P. K. L. Yu, in Optical Technology for Microwave Applications V, S. Yao, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1476, 74 (1991). [CrossRef]
  23. J. Chesnoy, M. C. Klein, L. Chusseau, J. M. Lourtioz, J. Appl. Phys. 67, 7615 (1990). [CrossRef]
  24. R. Badii, G. Broggi, B. Derighetti, M. Ravani, Phys. Rev. Lett. 60, 979 (1988). [CrossRef] [PubMed]
  25. A. Ben-Mizrachi, I. Procaccia, P. Grassberger, Phys. Rev. A 29, 975 (1984). [CrossRef]

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