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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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Movie specs: 1MB AVI SWF 800x6000 30.000 fps 625.0 kbyte/s |