Noise-induced Resonance in Semiconductor Lasers with Optical Feedback

  • C. Masoller
Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 9)


We numerically study the effect of additive gaussian white noise in the dynamics of a timedelayed feedback system. The system is a semiconductor laser witb optical feedback from a distant reflector. For moderate feedback levels the system presents several coexisting attractors, and noise levels above a threshold value induce jumps among these attractors. Based on the residence times probability density, P(I), we show that with increasing noise the dynamics of attractor jumping exhibits a resonant behavior. P(I) presents peaks at multiples of the external-cavity delay time, and the strength of the peaks reaches a maximum value for an optimal level of noise. The results are explained by the interplay of noise and delayed feedback.


Noise Level Semiconductor Laser Noise Intensity Stochastic Resonance External Cavity 
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  1. [1]
    I. Gammaitoni, P. Hänggi, P. Jung. and F. Marchesani, Rev. Mod. Phys. 70, 223 (1998).ADSCrossRefGoogle Scholar
  2. [2]
    A. S. Pikovsky and R. Kurths, Pbys. Rev. Lett. 78, 775 (1997).MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. [3]
    M. Santagiustina, P. Colet, M. San Miguel, and D. Walgraef, Phys. Rev. Lett. 79, 3633 (1997); Phys. Rev. E 58, 3843 (1998); H. Hempel, L. Schimansky-Geier, and J. García-Ojalvo, Phys. Rev. Lett. 82, 3713 (1999).ADSCrossRefGoogle Scholar
  4. [4]
    M. Ciolini, A. Lapucci, R. Meucci, Peng-ye Wang, and F. T. Arecchi, Phys. Rev. A 46, 5874 (1992); S. Balle, M. San Miguel, N. B. Abraham, J. R. Tredicce, R. Alvarez, E. J. D’Angelo, A. Gambhir, K. Scott Thornburg and R. Roy, Phys. Rev. Lett. 72, 3510 (1994).ADSCrossRefGoogle Scholar
  5. [5]
    M. San Miguel and R. Toral, Instabilities and Nonequilibrium Structures VI, Eds, E. Tirapegui, J. Martínez, and R. Tiemann, Kluwer Academic Publishers, 35–130 (2000).Google Scholar
  6. [6]
    L. S. Tsimring and A. Pikovsky, Phys. Rev. Lett. 87, 250602 (2001).ADSCrossRefGoogle Scholar
  7. [7]
    C. Masoller, Phys. Rev. Lett. 88, 034102 (2002).ADSCrossRefGoogle Scholar
  8. [8]
    R. Lang and K. Kobayashi, IEEE r, Quantum Electron. QE-16, 347 (1980).ADSCrossRefGoogle Scholar
  9. [9]
    G. Giacomelli, M. Giudici, S. Balle, and J. H. Tredicce, Phys. Rev. Lett. 84, 3298 (2000).ADSCrossRefGoogle Scholar
  10. [10]
    F. Marino, M. Giudici, S. Garland, and S. Balle, Phys. Rev. Lett. 88, 040601 (2002).ADSCrossRefGoogle Scholar
  11. [11]
    K. Petermann, IEEE J. Sel. Top. Quantum Electron. 1, 480 (1995)CrossRefGoogle Scholar
  12. [12]
    G. H. M. Van Tartwijk and D. Lenstra, Quantum Semiclassic. Opt. 7, 87 (1995).ADSCrossRefGoogle Scholar
  13. [13]
    K. Ikeda, K. Otsuka, and K. Matsumoto, Progr. Theor. Phys. Suppl. 99, 295 (1989); K. Otsuka, Phys. Rev. Lett. 65, 329 (1990).MathSciNetADSCrossRefGoogle Scholar
  14. [14]
    J. Mulet and C. R. Mirasso, Phys. Rev. E 59, 5400 (1999); M. C. Eguia and G. B. Mindlin, Pbys.Rev. E 60, 1551 (1999).ADSCrossRefGoogle Scholar
  15. [15]
    T. Sano, Phys. Rev. A 50, 2719 (1994); I. Fischer, G.H.M. van Tartwijk, A.M. Levine, W. Elsasser, E. Gobel and D. Lenstra, Phys. Rev. Lett. 76, 220 (1996).ADSCrossRefGoogle Scholar
  16. [16]
    F. T. Areechi and F. Lisi, Phys. Rev. Lett. 49, 94 (1982); F. T. Arecchi, It. Meucci, G. Puccioni, and J. Tredicce, Phys. Rev. Lett. 49, 1217 (1982); F. T. Arecchi and A. Califano, Europhys. Lett. 3, 5 (1987); F. T. Arecchi, Chaos 1, 357 (1991).ADSCrossRefGoogle Scholar
  17. [17]
    M. R. Beasley, D. D. Humieres, and B. A. Huberman, Phys. Rev. Lett. 50, 1328 (1983); It. Voss, Phys. Rev. Lett. 50, 1329 (1983); F. T. Arecchi and F. Lisi, Phys. Rev. Lett. 50, 1330 (1983).ADSCrossRefGoogle Scholar
  18. [18]
    S. Kraut, U. Feudel, and C. Grebogi, Phys. Rev. E 59, 5253 (1999).ADSCrossRefGoogle Scholar
  19. [19]
    L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995)ADSCrossRefGoogle Scholar
  20. [20]
    M. H. Choi, R. F. Fox, and P. Jung, Phys. Rev. E 57, 6335 (1998).ADSCrossRefGoogle Scholar
  21. [21]
    F. Marchesani, L. Gammaitoni, F. Apostolico, and S. Santucci, Phys. Rev. E 62, 146 (2000).ADSCrossRefGoogle Scholar
  22. [22]
    C. Palenzuela, R. Toral, C. R. Mirasso, O. Calvo, and J. D. Gunton, Europhysics Letters 56, 347 (2001).ADSCrossRefGoogle Scholar
  23. [23]
    H. A. Kramers, Physica (Utrecht) 7, 284 (1940).MathSciNetADSzbMATHCrossRefGoogle Scholar
  24. [24]
    N. MacDonald, Biological delay syslem.: linear stability theory. Cambridge University Press (Cambridge, 1989).Google Scholar
  25. [25]
    D. H. Zanette, Phys. Rev. E 62, 3167 (2000).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • C. Masoller
    • 1
  1. 1.Instituto de Física, Facultad de CienciasUniversidad de la RepúblicaMontevideoUruguay

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