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Chaos in optics: field fluctuations for a nonlinear optical fibre loop closed by a coupler

Published online by Cambridge University Press:  17 February 2009

A. Ankiewicz  and
C. Pask
A. Ankiewicz
Affiliation:
Department of Applied Mathematics, Research School of Physical Sciences, Australian National University, Canberra, A.C.T. 2600, Australia.
C. Pask
Affiliation:
Depment of Mathematics, University College, Australian Defence Force Academy, Campbell, A.C.T. 2600, Australia.
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Abstract

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Mathematical theories describing chaotic behaviour in physical systems are introduced by developing and reviewing applications to optical fibres. A theory is presented for laser light propagating in a loop formed by an optical fibre and an optical coupler. As the light traverses the fibre it suffers an attenuation and is subjected to a phase shift which will have a component proportional to the light intensity via the nonlinear optics Kerr effect. At each pass through the coupler, an extra fraction of laser light is coupled into the loop. The mathematical formulation leads to a two-dimensional map having a clear physical and geometrical interpretation. The complete solution is given in the linear regime and the onset of nonlinear behaviour is investigated as the laser power is increased. A variety of transitions is obtained including period doubling and iteration onto a strange attractor.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 1 , July 1987 , pp. 1 - 20
Copyright
Copyright © Australian Mathematical Society 1987

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