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Modulated class A laser: stochastic resonance in a limit-cycle potential system

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Abstract

We exploit the knowledge of the nonequilibrium potential in a model for the modulated class A laser. We analyse both, the deterministic and the stochastic dynamics of such a system in terms of the Lyapunov potential. Furthermore, we analyse the stochastic response of such a system and explain it again using the potential in a wide range of parameters and for small values of the noise. Such a response is quantified by means of the amplification factor, founding stochastic resonance within specific parameter’s ranges.

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References

  1. L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)

    Article  ADS  Google Scholar 

  2. T. Wellens, V. Shatokin, A. Buchleitner, Rep. Prog. Phys. 67, 45 (2004)

    Article  ADS  Google Scholar 

  3. M. McDonell, N.G. Stocks, Ch.E.M. Pierce, D. Abbott, From suprathreshold stochastic resonance to stochastic signal quantization (Cambridge University Press, New York, 2008)

  4. J.K. Douglas et al., Nature 365, 337 (1993)

    Article  ADS  Google Scholar 

  5. J.J. Collins et al., Nature 376, 236 (1995)

    Article  ADS  Google Scholar 

  6. S.M. Bezrukov, I. Vodyanoy, Nature 378, 362 (1995)

    Article  ADS  Google Scholar 

  7. A. Guderian, G. Dechert, K. Zeyer, F. Schneider, J. Phys. Chem. 100, 4437 (1996)

    Article  Google Scholar 

  8. A. Förster, M. Merget, F. Schneider, J. Phys. Chem. 100, 4442 (1996)

    Article  Google Scholar 

  9. W. Hohmann, J. Muller, F.W. Schneider, J. Phys. Chem. 100, 5388 (1996)

    Article  Google Scholar 

  10. J.F. Lindner et al., Phys. Rev. E 53, 2081 (1996)

    Article  ADS  Google Scholar 

  11. A.R. Bulsara, G. Schmera, Phys. Rev. E 47, 3734 (1993)

    Article  ADS  Google Scholar 

  12. P. Jung, U. Behn, E. Pantazelou, F. Moss, Phys. Rev. A 46, R1709 (1992)

    Article  ADS  Google Scholar 

  13. P. Jung, G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995)

    Article  ADS  Google Scholar 

  14. J.F. Lindner et al., Phys. Rev. Lett. 75, 3 (1995)

    Article  ADS  Google Scholar 

  15. F. Marchesoni, L. Gammaitoni, A.R. Bulsara, Phys. Rev. Lett. 76, 2609 (1996)

    Article  ADS  Google Scholar 

  16. H.S. Wio, Phys. Rev. E 54, R3075 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  17. H.S. Wio, F. Castelpoggi, in Unsolved problems of noise, Proc. Conf. UPoN’96, edited by C.R. Doering, L.B. Kiss, M. Schlesinger (World Scientific, Singapore, 1997), p. 229

  18. F. Castelpoggi, H.S. Wio, Europhys. Lett. 38, 91 (1997)

    Article  ADS  Google Scholar 

  19. F. Castelpoggi, H.S. Wio, Phys. Rev. E 57, 5112 (1998)

    Article  ADS  Google Scholar 

  20. H.S. Wio et al., Physica A 257, 275 (1998)

    Article  ADS  Google Scholar 

  21. M. Kuperman, H.S. Wio, G. Izús, R. Deza, Phys. Rev. E 57, 5122 (1998)

    Article  ADS  Google Scholar 

  22. S. Bouzat, H.S. Wio, Phys. Rev. E 59, 5142 (1999)

    Article  ADS  Google Scholar 

  23. B. von Haeften, R. Deza, H.S. Wio, Phys. Rev. Lett. 84, 404 (2000)

    Article  ADS  Google Scholar 

  24. C.J. Tessone, H.S. Wio, P. Hänggi, Phys. Rev. E 62, 4623 (2000)

    Article  ADS  Google Scholar 

  25. M.A. Fuentes, R. Toral, H.S. Wio, Physica A 295, 114 (2001)

    Article  ADS  Google Scholar 

  26. R. Graham, in Instabilities and nonequilibrium structures, edited by E. Tirapegui, D. Villaroel (D. Reidel, Dordrecht, 1987)

  27. H.S. Wio, S. Bouzat, B. von Haeften, Physica A 306C, 140 (2002)

    Article  ADS  Google Scholar 

  28. C. Mayol, R. Toral, C.R. Mirasso, Phys. Rev. A 59, 4690 (1999)

    Article  ADS  Google Scholar 

  29. C. Mayol, R. Toral, C. R. Mirasso, M.A. Natiello, Phys. Rev. A 66, 013808 (2002)

    Article  ADS  Google Scholar 

  30. J.R. Tredicce, G.L. Lippi, G.P. Puccioni, J. Opt. Soc. Am. B 2, 173 (1985)

    Article  ADS  Google Scholar 

  31. H.G. Solari, G.L. Oppo, Opt. Commun. 111, 173 (1994)

    Article  ADS  Google Scholar 

  32. S. Wieczork, B. Krauskopf, D. Lenstra, Opt. Commun. 172, 279 (2000)

    Article  ADS  Google Scholar 

  33. T. Simpson, J.M. Liu, K.F. Huang, K. Tai, Quantum Semiclassic. Opt. 9, 765 (1997)

    Article  ADS  Google Scholar 

  34. H. Haken, in Laser light dynamics. Light (North-Holland, Amsterdam, 1985), Vol. 2

  35. H. Haken, Laser theory (Springer-Verlag, New York, 1984)

  36. W.A. van der Graaf, Ph.D. thesis, Vrije Universiteit, Amsterdam, 1997

  37. G.P. Agrawal, N.K. Dutta, Long-wavelength semiconductor lasers (Van Nostrand Reinhold, New York, 1986)

  38. H.S. Wio, in 4th Granada seminar in computational physics, edited by P. Garrido, J. Marro (Springer-Verlag, Berlin, 1997), p. 135

  39. H.S. Wio, R.R. Deza, J.M. López, Introduction to stochastic processes and nonequilibrium statistical physics, Revised Edition (World Scientific, Singapore, 2013)

  40. C.W. Gardiner, Handbook of stochastic methods, 4th edn. (Springer-Verlag, Berlin, 2009)

  41. M. Abramowitz I.A. Stegun, Handbook of mathematical functions: with formulas, graphs, and mathematical tables (Dover, New York, 1965)

  42. H.F. Liu, W.F. Ngai, IEEE J. Quantum Electron. 29, 1668 (1993)

    Article  ADS  Google Scholar 

  43. P. Jung P. Hänggi, Phys. Rev. A 44, 8032 (1991)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. IFISC (Instituto de Física Interdisciplinar y Sistemas Complejos), Universitat de les Illes Balears-CSIC, 07122, Palma de Mallorca, Spain

    Catalina Mayol, Raúl Toral & Horacio S. Wio

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  1. Catalina Mayol
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  2. Raúl Toral
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  3. Horacio S. Wio
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Correspondence to Horacio S. Wio.

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Mayol, C., Toral, R. & Wio, H.S. Modulated class A laser: stochastic resonance in a limit-cycle potential system. Eur. Phys. J. B 91, 114 (2018). https://doi.org/10.1140/epjb/e2018-90194-5

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  • DOI: https://doi.org/10.1140/epjb/e2018-90194-5

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