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Effects of multiplicative colored noise in the growth of dye-laser radiation: The projection operator method

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Zeitschrift für Physik B Condensed Matter

Abstract

It has been well established by Roy, Fox, Yu and Zhu that in the growth of dye-laser radiation the multiplicative colored noise leads to an increase of the variance and skewness of first-passage time distribution (FPTD) as the laser intensity approaches steady state. In this paper, we develop an analytic method for the approximate treatment of the colored noise effects in the FPTD problem based on the Hanggi ansatz. The mean, variance, and skewness of the FPTD with multiplicative colored noise are obtained by means of the projection operator technique used by the authors to develop a theory of nonlinear external noises. The theoretical results are compared with those obtained from numerical simulations.

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References

  1. Zhu, S.: Phys. Rev. A41, 1689 (1990)

    Google Scholar 

  2. Roy, R., Yu, A.W., Zhu, S.: Phys. Rev. Lett.55, 2794 (1985).

    Google Scholar 

  3. Zhu, S., Yu, A.W., Roy, R.: Phys. Rev. A34, 4333 (1986)

    Google Scholar 

  4. Roy, R., Yu, A.W., Zhu, S.: In: Noise in nonlinear dynamical systems. Moss, F., McClintoc, P. (eds.). Cambridge: Cambridge University Press 1989

    Google Scholar 

  5. Fox, R.F.: Phys. Rev. A34, 3405 (1986)

    Google Scholar 

  6. Fox, R.F., Roy, R.: Phys. Rev. A35, 1838 (1987)

    Google Scholar 

  7. Cao, L., Wu, D.J., Luo, X.L.: Phys. Rev. A45, 6838 (1992).

    Google Scholar 

  8. Cao, L., Wu, D.J., Luo, X.L.: Phys. Rev. A45, 6848 (1992).

    Google Scholar 

  9. Cao, L., Wu, D.J., Luo, X.L.: Phys. Rev. A47, 57 (1993)

    Google Scholar 

  10. Cao, L., Wu, D.J., Wang, H.: Phys. Lett. A133, 476 (1988).

    Google Scholar 

  11. Wu, D.J., Cao, L., Yang, B.: Commun. Theor. Phys.11, 279 (1989)

    Google Scholar 

  12. Hänggi, P., Mroczkowski, T.J., Moss, F., McClintock, P.V.: Phys. Rev. A32, 695 (1985).

    Google Scholar 

  13. Jung, P., Hänggi, P.: J. Opt. Soc. Am. B5, 979 (1988)

    Google Scholar 

  14. Van Kampen: Stochastic processes in physics and chemistry. Amsterdam: North-Holland 1983

    Google Scholar 

  15. Terwiel, R.H.: Physica74, 248 (1974)

    Google Scholar 

  16. Haken, H.: Laser theory. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  17. Sargent III, M., Scully, M.O., Lamb Jr., W.E.: Laser physics. Reading, Mass.: Addison-Wesley 1974

    Google Scholar 

  18. Lax, M.: In: Brandeis Lectures. Vol. II, Chretien, M., Gross, E.P., Deser, S. (eds.). New York: Gordon and Breach 1986

    Google Scholar 

  19. Louisell, W.H.: Quantum statistical properties of radiation. New York: Wiley 1973

    Google Scholar 

  20. Cao, L., Wu, D.J.: Phys. Lett. A155, 257 (1991)

    Google Scholar 

  21. Habiger, R.G.K., Risken, H., James, M., Moss, F., Schlich, W.: Phys. Rev. A41, 3950 (1990)

    Google Scholar 

  22. Arecchi, F.T., Politi, A., Ulivi, L.: Nuovo Cimento71, 119 (1932)

    Google Scholar 

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Authors and Affiliations

  1. CCAST (World Laboratory), P.O.Box 8730, 100080, Beijing, People's Republic of China

    Li Cao

  2. Department of Physics, Huazhong University of Science and Technology, 430074, Wuhan, People's Republic of China

    Li Cao

  3. National Laboratory of Laser Technology, Huazhong University of Science and Technology, 430074, Wuhan, People's Republic of China

    Da-jin Wu & Xue-li Luo

Authors
  1. Li Cao
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  2. Da-jin Wu
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  3. Xue-li Luo
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Cao, L., Wu, Dj. & Luo, Xl. Effects of multiplicative colored noise in the growth of dye-laser radiation: The projection operator method. Z. Physik B - Condensed Matter 93, 251–258 (1994). https://doi.org/10.1007/BF01316969

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  • DOI: https://doi.org/10.1007/BF01316969

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