Abstract
We study the influence of frequency noise on optical bistability in the neighborhood of the critical point where the hysteresis loop appears. We show that when the transmitted field evolves on a faster time scale than that of the noise, the hysteresis loop shifts toward lower values of the incident pumping field.
Similar content being viewed by others
References
I. Prigogine, inFrom Theoretical Physics to Biology, M. Marois, ed. (North-Holland, Amsterdam, 1969).
P. Glansdorff and I. Prigogine,Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, New York, 1971).
G. Nicolis and I. Prigogine, inNonequilibrium Systems. From Dissipative Structures to Order Through Fluctuations (Wiley, New York, 1979).
D. Walgraef, G. Dewel, and P. Borckmans,Adv. Chem. Phys. 49:311 (1982).
W. Horsthemke and R. Lefever,Noise Induced Transitions. Theory and Applications in Physics, Chemistry and Biology (Springer-Verlag, 1984).
L. A. Lugiato, inProgress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1984), Vol. XXI, pp. 69–216.
J. C. Englund, R. R. Snapp, and W. C. Schieve, inProgress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1984), Vol. XXI, pp. 355–428.
S. W. Koch,Dynamics of First-Order Phase Transitions in Equilibrium and Non-equilibrium Systems (Springer-Verlag, 1984).
L. A. Lugiato and R. J. Horowicz,J. Opt. Soc. Am. B 2:971 (1985).
L. A. Lugiato, A. Colombo, G. Broggi, and R. J. Horowicz,Phys. Rev. A 33:000 (1986).
G. Blankenship and G. C. Papanicolaou,SIAM J. Appl. Math. 34:437 (1978).
F. Abraham and S. D. Smith,Rep. Prog. Phys. 45:815 (1982).
R. Lefever and J. Wm. Turner,Phys. Rev. Lett. 56:1631 (1986).
H. M. Gibbs, S. L. McCall, and T. N. C. Venkatesan,Phys. Rev. Lett. 36:113 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lefever, R., Turner, J.W. & Lugiato, L.A. Influence of frequency noise on nascent hysteresis in optical bistability. J Stat Phys 48, 1045–1058 (1987). https://doi.org/10.1007/BF01009532
Issue Date:
DOI: https://doi.org/10.1007/BF01009532