Amplitude equations and pattern formation in a liquid-crystal light-valve experiment

Year: 1995

Authors: D´Alessandro G., Pampaloni E., Ramazza P.L., Residori S., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Florence, Largo E. Fermi 4, 50125 Firenze, Italy;
Department of Mathematics, University of Southampton, SO17 1BJ, England

Abstract: We develop a model of an experiment on pattern formation in a liquid-crystal light valve with single feedback mirror [E. Pampaloni et al., Europhys. Lett. 24, 647 (1993)]. An analytical treatment based on amplitude equations explains most of the observed phenomena. Saturation effects are needed to describe a secondary bifurcation between triangular and roll patterns.

Journal/Review: PHYSICAL REVIEW A

Volume: 52 (5)      Pages from: 4176  to: 4181

KeyWords: Feedback Mirror; Different Symmetries; Convective Patterns; Instabilities; Transition; Dynamics; Systems
DOI: 10.1103/PhysRevA.52.4176

Citations: 11
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