Abstract

Hexagons and other regular patterns are predicted in a number of wide-aspect nonlinear optical systems. Analysis and simulations of pattern formation in two classes of systems are presented. These are feedback systems, in which the mechanism is related to the Talbot effect; and cavity systems, where a tilted-wave mechanism operates. In the latter case, polarization instabilities are predicted to occur and show patterns. Gaussian beam pumping is the practical situation, and analysis and simulations with finite beam widths are also illustrated. From an applications viewpoint, defects in regular patterns are of potential interest. An “isolated state” memory is discussed as an example.KeywordsPattern FormationKerr EffectInput FieldKerr MediumNeutral Stability CurveThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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