Abstract
Chaos is an inherent feature of many nonlinear systems. In particular, the transition from a steady to chaotic state occurs independently of the physical properties of the system. Such behaviour occurs in optics, both in lasers and in nonlinear optical devices. Such devices, which are fundamentally simple both in construction and in the mathematics that describes them, provide excellent opportunities for investigating nonlinear phenomena as well as for technological innovation.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Lorenz, E. N. J. atoms. Sci. 20, 130 (1963).
Whitney, H. Annls Math. 37, 645 (1936).
Haken, H. Synergetics—An Introduction (Springer, Berlin, 1983).
Haken, H. Advanced Synergetics (Springer, Berlin, 1983).
Grossman S. & Thomae, S. Z. Naturforschung. 32A, 1353 (1977).
Feigenbaum, F. J. J. Stat. Phys. 19, 25 (1978).
Coulett, P. & Tresser, J. J. Phys. Paris C5, 25 (1978).
May, R. M. Nature 261, 459 (1976).
Feigenbaum M. J. Physica 7D, 16 (1983).
Manneville, P. & Pomeau, Y. Phys. Lett. 75A, 1 (1979).
Landau, L. D. Acad. Sci. USSR 44, 311 (1944).
Landau, L. D. & Lifshitz, E. M. Fluid Mechanics (Pergamon, Oxford, 1959).
Ruelle, D. & Takens, F. Commun. Math. Phys. 20, 167 (1971).
Newhouse, S., Ruelle, D. & Takens, F. Commun. math. Phys. 64, 35 (1978).
Haken, H. Phys. Lett. 53A, 77 (1975).
Hogenboom, E. H. M., Klische, W., Weiss, C. O. & Godone, A. Phys. Rev. Lett. 55, 2571 (1985).
Arecchi, F. T., Lippi, G. L., Puccioni, G. P. & Tredicce, J. R. Opt. Commun. 51, 308 (1984).
Scholz, H. J., Yamada, T., Brant, H. & Graham, R. Phys. Lett. 82A, 321 (1981).
Arecchi, F. T., Meucci, R., Puccioni, G. P. & Tredicce, J. R. Phys. Rev. Lett. 49, 1217 (1982).
Midavaine, T., Dangisse, D. & Glorieux, P. Phys. Rev. Lett. 55 1989 (1985).
Lugiato, L. A., Narducci, L., Bandy, D. K. & Pennise, C. A. Opt. Commun. 46, 64 (1983).
Mandel, P. & Zeglache, H. Opt. Commun. 47, 146 (1983).
Casperson, L. W. Phys. Rev. A 21, 911 (1980).
Abraham, N. B. et al. Lecture notes in Physics, Vol. 182, 107 (Springer, Berlin, 1983).
Gioggia, R. S. & Abraham, N. B. Phys. Rev. Lett. 51, 650 (1983).
Harrison, R. G. & Biswas, D. J. Phys. Rev. Lett. 55, 63 (1985).
Casperson, L. W. & Yariv, A. Appl. Phys. Lett. 17, 259 (1970).
Hendow, S. & Sargent, M. III, J. opt. soc. Am. B 2, 84 (1985).
Ikeda, K. Opt. Commun 30, 257 (1979).
Ikeda, K. & Daido, H. Phys. Rev. Lett 45, 709 (1980).
Gibbs, H. M., Hopf, F. A., Kaplan, D. L. & Shoemaker, R. L. Phys. Rev. Lett. 46, 474 (1981).
Crutchfield, J. P. & Huberman, B. A. Phys. Lett. 77A, 407 (1980).
Nakatsuka, H., Asaka, S., Itoh, H., Ikeda, K. & Matsuoka, M. Phys. Rev. Lett. 50, 109 (1983).
Harrison, R. G., Firth, W. J., Emshary, C. A. & Al-Saidi, I. A. Phys. Rev. Lett. 51, 562 (1983).
Harrison, R. G., Firth, W. J. & Al-Saidi, I. A. Phys. Rev. Lett. 53, 258 (1984).
Gibbs, H. M. et al. Proc. OSA Topical Meet. on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems, Rochester (1985).
Abraham, N. B. Laser Focus 73 (May 1983).
Harrison, R. G. & Biswas, D. J. Progress in Quantum Electronics 10, 147 (Pergamon, Oxford, 1985).
J. Opt. Soc. Am. B, Spec. Iss. Instabilities in Active Optical Media 2, 1–272 (1985).
Ackerhalt, J. R., Milonni, P. W. & Shih, M. L. Phys. Rep. 128, 205–300 (1985).
Arecchi, F. T. & Harrison, R. G. (eds) Instabilities and Chaos in Quantum Optics (Springer, Berlin, in the press).
Gibbs, H. M. Optical Bistability: Controlling Light with Light (Academic, New York, 1985).
Schuster, H. G. Deterministric Chaos (Physik, Berlin, 1984).
Eckmann, J. P. & Ruelle, D. Rev. Mod. Phys. 57, 617 (1985).
Swinney, H. L. Physica 7D, 3 (1985).
Farmer, J. D., Ott, E. & Yorke, J. A. Physica 7D, 153 (1985).
Miller, D. A. B. Laser Focus 18, 79 (1982).
Smith, S. D. et al. Opt. Engn 24, 569 (1985).
Weiss, C. O., Klische, W., Ering, P. S. & Cooper, M. Opt. Commun. 52, 405 (1985).
Weiss, C. O., Godone, A. & Olafsson, A. Phys. Rev. A 28, 892 (1983).
Biswas, D. J. & Harrison, R. G. Phys. Rev. (Rap. comoun.) A 32, 3835 (1985).
Minden, M. L. & Casperson, L. W. J. opt. Soc. Am. B 2, 120 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harrison, R., Biswas, D. Chaos in light. Nature 321, 394–401 (1986). https://doi.org/10.1038/321394a0
Issue Date:
DOI: https://doi.org/10.1038/321394a0
This article is cited by
-
Electromagnetic waves dynamics in a nonlinear dielectric slab by the method of characteristics
Electrical Engineering (1997)
-
Introduction to the epistemology of the brain: Indeterminacy, micro-specificity, chaos, and openness
Topoi (1992)
-
Pharmacokinetics from a dynamical systems point of view
Journal of Pharmacokinetics and Biopharmaceutics (1989)
-
Instability analysis of semiconductor injection lasers with saturable absorption and self-sustained pulsations on the centre manifold
Optical and Quantum Electronics (1989)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.