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Stable spatially localized solutions and holes in optical bistability

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  • Brand, Helmut R.
  • Deissler, Robert J.

Abstract

We investigate the spatial behavior of the electric field for optical bistability in the good cavity limit. We show that stable spatially localized solutions exist in one and two dimensions. In addition we find that stable one-dimensional hole solutions also arise in this driven non-equilibrium system with dissipation and dispersion thus demonstrating that stable holes are not restricted to dispersive systems, but can emerge in strongly dissipative systems as well. A critical comparison with the properties of stable localized solutions in other driven dissipative systems is also included.

Suggested Citation

  • Brand, Helmut R. & Deissler, Robert J., 1995. "Stable spatially localized solutions and holes in optical bistability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(3), pages 288-298.
    • Handle: RePEc:eee:phsmap:v:216:y:1995:i:3:p:288-298
    DOI: 10.1016/0378-4371(95)00072-F
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    References listed on IDEAS

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    1. Udo Kamps, 1991. "A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 38(1), pages 215-225, December.
    2. Hohenberg, Paul M., 1992. "Early Modern - Lille and the Dutch Revolt: Urban Stability in an Era of Revolution, 1500–1582. By Robert S. DuPlessis. New York: Cambridge University Press, 1991. Pp. xv, 372. $54.50," The Journal of Economic History, Cambridge University Press, vol. 52(1), pages 220-220, March.
    3. Brand, Helmut R. & Deissler, Robert J., 1994. "Stable localized solutions in nonlinear optics with large dissipation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 87-95.
    4. Kamran Asgharzadeh & G. F. Newell, 1978. "Optimal dispatching strategies for vehicles having exponentially distributed trip times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(3), pages 489-509, September.
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