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We report the observation of two-dimensional periodic and quasiperiodic structures in the transverse profile of an optical beam circulating in a loop which contains a nonlinear medium. The symmetries of the patterns are imposed by an image rotation within the loop. We propose a simple model which shows the existence of two unstable bands of transverse wave vectors. Close to threshold, the predictions of the model are qualitatively and quantitatively confirmed by the experiment.
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Pampaloni et al. (1995) studied this question.
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