Abstract
In recent years radically new mathematical insights into the dynamical behavior of many nonlinear systems show that along with yielding regular and repeatable behaviour, many nonlinear systems also exhibit unstable, even chaotic, solutions. Furthermore, the transition from stable to chaotic behaviour, which may occur when varying a control parameter of the system, follows specific, well-defined routes which are universal in the sense that they are independent of the physical properties of the system they describe. It is these signatures which have been a major impetus to experimentalists in the subsequent search for physical systems that exhibit these phenomena. Such phenomena exist in optics; both lasers (active systems), in which the optical signal is derived from stimulated emission generated within an optical cavity containing a gain medium,and passive systems for which the optical signal is but the transmission of an input light signal through an optical cavity containing a nonlinear medium. The latter are being increasingly recognised for their potential application as bistable all-optical logic elements.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E.N. Lorenz, J. Atoms. Sci., 20, 130 (1963)
H. Whitney, Annals. Math., 37, 645 (1936).
H. Haken, Synergetics — An Introduction ( Springer, Berlin, 1983 ).
H. Haken, Advanced Synergetics ( Springer, Berlin, 1983 ).
F.J. Feigenbaum, J. Stat. Phys., 19, 25 (1978).
P. Manneville and Y. Pomeau, Phys. Lett., 75A, 1 (1979).
D. Ruelie and F. Takens, Commun. Math. Phys., 20, 167 (1971).
H. Haken, Phys. Lett., 53A, 77 (1975).
C.O, Weiss, W. Klische, Opt. Commun., 5, 47 (1984).
b. C.O. Weiss and J. Brock, Phys. Rev. Lett., 57, 2804 (12986).
M.A. Dupertuis, R.R.E. Salomaa and M.R. Siegrist, Opt. Commun., 57, 410 (1986).
J.V. Moloney, J.S. Uppal and R.G. Harrison, Phys. Rev. Lett, (submitted).
S.C. Mehendale and R.G. Harrison, Phys. Rev., 34, 1613 (1986).
H.J. Scholz, T. Yamada, H. Brant and R. Graham, Phys. Lett., 82A, 321 (1981).
F.T. Arecchi, R. Meucci, G.P. Puccioni and J.R. Tredicce, J.R. Phys. Rev. Lett., 49, 1217 (1982).
T. Midavaine, D. Dangisse and P. Glorieux, Phys. Rev. Lett., 55, 1989 (1985).
L.A. Lugiato, L. Narducci, D.K. Bandy and C.A. Pennise, Opt. Commun., 46, 64
P. Handel and H. Zeglache, Opt. Commun., 47, 146 (1983).
L.W. Casperson, Phys. Rev. A, 21, 911 (1980).
N.B. Abraham et al., Lecture Notes in Physics, Vol. 182, 107 ( Springer, Berlin, 1983 ).
R.S. Gioggia and N.B. Abraham, Phys. Rev. Let., 51, 650 (1983).
R.G. Harrison and D.J. Biswas, Phys. Rev. Lett., 55, 63 (1985).
R.G. Harrison and D.J. Biswas, Progress in Quantum Electronics, 10, 147 ( Pergamon, Oxford, 1985 ).
F.T. Arecchi and R.G. Harrison (eds. Instabilities and Chaos in Quantum Optics (Springer, Berlin, in press).
H.G. Schuster, Deterministic Chaos ( Physik, Berlin, 1984 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Harrison, R.G., Moloney, J.V., Uppal, J.S. (1987). Chaos and Pulsating Instabilities in Lasers. In: Haken, H. (eds) Computational Systems — Natural and Artificial. Springer Series in Synergetics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73089-4_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-73089-4_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73091-7
Online ISBN: 978-3-642-73089-4
eBook Packages: Springer Book Archive