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  • Access by Xinjiang University

Manipulation, Stabilization, and Control of Pattern Formation Using Fourier Space Filtering

S. Juul Jensen

M. Schwab and C. Denz

  • Optics and Fluid Dynamics Department, Risø National Laboratory, Postbox 49, DK-4000 Roskilde, Denmark

  • Institute of Applied Physics, Darmstadt University of Technology, D-64289 Darmstadt, Germany

Phys. Rev. Lett. 81, 1614 – Published 24 August, 1998

DOI: https://doi.org/10.1103/PhysRevLett.81.1614

Abstract

We present an experimental realization of an almost noninvasive stabilization and manipulation method of coexisting and underlying states of pattern forming systems. In a photorefractive single feedback system, a ring control path is used to realize amplitude and phase-sensitive Fourier-plane filtering, utilizing only a few percent of the system's intensity. We were able to stabilize desired but not predominantly excited patterns in parameter space regions where several patterns are present as underlying solutions. By positive (in-phase) and negative (out-of-phase) control, rolls could be excited in parameter regions where hexagonal structures are preferably stable.

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