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Transient laser radiation as a stochastic process near an instability point

Author

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  • De Pasquale, F.
  • Tartaglia, P.
  • Tombesi, P.

Abstract

A new approximate solution of the stochastic process associated to the laser transient radiation is proposed. It is shown that, by means of the classical equation of motion, it is possible to introduce a non-linear time-dependent mapping between the original stochastic process and a new process which, near an unstable state, has a limited range for short times. Detailed comparisons with numerical results and experimental data are also performed.

Suggested Citation

  • De Pasquale, F. & Tartaglia, P. & Tombesi, P., 1979. "Transient laser radiation as a stochastic process near an instability point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(3), pages 581-591.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:3:p:581-591
    DOI: 10.1016/0378-4371(79)90073-6
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    Citations

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    Cited by:

    1. Jiménez-Aquino, J.I., 1997. "Multivariate formulation of transient stochastic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 113-122.
    2. Jiménez-Aquino, J.I., 1996. "The characteristic times of the transient stochastic dynamics with time-dependent control parameters distributed initial conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 444-460.
    3. Jiménez-Aquino, J.I., 1997. "Matricial formulation of transient stochastic dynamics driven by Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 503-516.
    4. Suzuki, Masuo & Liu, Yong & Tsuno, Takashi, 1986. "Revisit to the scaling theory of transient phenomena — Generalization to correlated noise and singular perturbation expansion up to infinite order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 433-455.
    5. Dekker, H., 1980. "Critical dynamics the expansion of the master equation including a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(1), pages 55-79.

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