2000
DOI: 10.1103/physrevlett.84.879
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Experimental Control of Unstable Patterns and Elimination of Spatiotemporal Disorder in Nonlinear Optics

Abstract: A method based on Fourier filtered control signals for stabilization of unstable patterns in a nonlinear optical single feedback system is experimentally realized. The successful stabilization of the homogeneous solution and different stationary periodic patterns far above the pattern forming threshold as well as the elimination of spatiotemporal disorder above a secondary instability has been achieved. The temporal evolution of the control signal verifies the underlying philosophy of noninvasive control that … Show more

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Cited by 45 publications
(26 citation statements)
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“…40 Even in regimes where the patterns become spatio-temporal disordered these solutions including the hexagonal solution were noninvasively stabilized at control strengths of only a few percent. Furthermore, by measuring the amplitudes of the patterns this method allows to determine the otherwise experimentally not accessible bifurcation diagram of the unstable solutions.…”
Section: ͑23͒mentioning
confidence: 99%
“…40 Even in regimes where the patterns become spatio-temporal disordered these solutions including the hexagonal solution were noninvasively stabilized at control strengths of only a few percent. Furthermore, by measuring the amplitudes of the patterns this method allows to determine the otherwise experimentally not accessible bifurcation diagram of the unstable solutions.…”
Section: ͑23͒mentioning
confidence: 99%
“…The system's transverse translational symmetry is thus spontaneously broken, resulting in periodic or quasiperiodic modulational patterns, e.g., stripes and hexagons, in the intensity profile. These spontaneously formed optical patterns have been observed in experiments with lasers, 9,10 and such passive optical systems as atomic gases, [11][12][13][14] liquid crystal light valves, 15 photorefractive crystals, 16 and, most recently, semiconductor quantum well microcavities. 17 (For general reviews, see, e.g., Refs.…”
Section: Introductionmentioning
confidence: 76%
“…The terms in Eq. (15) can also be interpreted the same way. We will discuss the density transferring processes in more detail below.…”
Section: Reduced Modelsmentioning
confidence: 94%
“…A secondary instability leads to roll dislocations [284]. It has been shown experimentally that using a Fourier filtered control signal can stabilize selectively unstable periodic patterns and can eliminate spatially chaotic regimes [285]. Defects can be swept out of a spontaneously formed hexagonal intensity pattern containing several dislocation-type defects using Fourier filtering [286].…”
Section: Liquid Crystal Cellsmentioning
confidence: 99%