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Irreversible circulation and the undamped spiking in lasers

Author

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  • Tomita, Kazuhisa
  • Todani, Takao
  • Kidachi, Hideyuki

Abstract

Our new theory of fluctuation was applied to the undamped spiking in lasers with single mode saturable absorption. At the marginal points, which lead to limit cycles, it was found that the irreversible circulation α and the residual circulation α′ diverge together with the variance σ. The model system of this article has effectively three degrees of freedom; however, it was demonstrated that the dominant motion and the fluctuation have two dimensional character in the neighbourhood of a hard mode instability.

Suggested Citation

  • Tomita, Kazuhisa & Todani, Takao & Kidachi, Hideyuki, 1976. "Irreversible circulation and the undamped spiking in lasers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(2), pages 350-370.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:2:p:350-370
    DOI: 10.1016/0378-4371(76)90006-6
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    Citations

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    Cited by:

    1. Baibuz, V.F. & Zitserman, V.Yu. & Drozdov, A.N., 1984. "Diffusion in a potential field: Path-integral approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(1), pages 173-193.
    2. 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 80-98.
    3. Shimizu, T., 1978. "Theory of the relaxation and fluctuation from unstable and metastable states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 534-548.
    4. 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.
    5. Dykman, M.I. & Krivoglaz, M.A., 1980. "Fluctuations in nonlinear systems near bifurcations corresponding to the appearance of new stable states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 480-494.

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