Proceedings PaperHexagon patterns and related phenomena in nonlinear optics
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Hexagonal structures have been observed and predicted in a number of nonlinear optical systems. After a brief general review of the field, the case of a slice of Kerr medium with single feedback mirror is analyzed in some detail. Its analogy to liquid-crystal light valve systems with feedback loop is noted. Recent experimental results are mentioned, and analytical results based on symmetry analysis are presented, along with simulations, for the practically important case of Gaussian beam excitation.