Pattern stabilization through parameter alternation in a nonlinear optical system

Details Pattern stabilization through parameter alternation in a nonlinear optical system Pattern stabilization through parameter alternation in a nonlinear optical system

2006-02-22

arxiv.org/abs/nlin/0602047v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, 5 figures. To appear in PRL

Scientific paper

10.1103/PhysRevLett.96.094101

We report the first experimental realization of pattern formation in a spatially extended nonlinear system when the system is alternated between two states, neither of which exhibits patterning. Dynamical equations modeling the system are used for both numerical simulations and a weakly nonlinear analysis of the patterned states. The simulations show excellent agreement with the experiment. The nonlinear analysis provides an explanation of the patterning under alternation and accurately predicts both the observed dependence of the patterning on the frequency of alternation, and the measured spatial frequencies of the patterns.

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