Spatio-temporal Fourier analysis of Faraday surface wave patterns on a two-liquid interfaceA. V. Kityk1, 2, K. Knorr1, H.-W. Müller3 and C. Wagner1
1 Technische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
2 Institute for Computer Science, Technical University of Czestochowa Armii Krajowej 17, PL 42-200 Czestochowa, Poland
3 Max-Planck-Institut für Polymerforschung Ackermannweg 10, 55128 Mainz, Germany
(Received 24 September 2003; accepted in final form 28 January 2004)
Using a light transmission technique a new experimental setup allows to study the spatio-temporal behavior of Faraday surface waves in a fully quantitative manner. As an example, the bifurcation of a doubly-hexagonal superstructure out of a simple hexagonal pattern is presented. It is demonstrated that both amplitude and phase information can be obtained. The empirical results are found to be in agreement with theoretical considerations based on resonance arguments and the amplitude equation approach.
89.75.Kd - Patterns.
47.54.+r - Pattern selection; pattern formation.
47.35.+i - Hydrodynamic waves.
© EDP Sciences 2004