:::
Ikeda Map Movie :::
Self-Focusing
Induced Optical Turbulence
Original movie shown at OB Meeting in
Aussois in 1988
References:
- J.V.
Moloney, Proc. Roy. Soc., A313, 429 (1984)
- J.V. Moloney, "Two-Dimensional Transverse Solitary
Waves as Asymptotic States of the Field in a Bistable Optical Resonator",
IEEE JQE QE-21, 1393 (1985)
- A. Aceves, H. Adachihara, C. Jones, J.C. Lerman, D.W.
McLaughlin, J.V. Moloney, and A.C. Newell, "Chaos and Coherent
Structures in Partial Differential Equations", Physica 18D, 85-112
(1986)
The Ikeda map describes the behavior of an optical field
in a ring cavity with a saturable Kerr medium: refractive index n=n0
+ n2 I/(1+I/IS), where I is the light intensity.
Each time the light travels around the cavity, some is transmitted out
and some is added from the pump field. If diffraction is ignored, there
are parameter regimes where the system is bistable. In this animation,
diffraction effects are included. The pump field has a Gaussian
profile, and the frames of the animation represent the output field
intensity resolved in the transverse coordinates.
Initially the output breaks up into rings which are unstable to a
modulation, leading to a pattern of dots and ridges, which continue to
evolve into patterns of lower symmetry.
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