An analytical stability theory for Faraday waves and the observation of the harmonic surface response

C. Wagner(2); Germany); Germany (2) Institut fuer Technische Physik; H. Wittmer(1); H. W. Mueller(1); J. Albers(2); K. Knorr(2) ((1) Institut fuer Theoretische Physik; Saarbruecken; Universitaet des Saarlandes

arxiv: patt-sol/9610006 · v1 · submitted 1996-10-08 · patt-sol · nlin.PS

An analytical stability theory for Faraday waves and the observation of the harmonic surface response

H. W. Mueller(1) , H. Wittmer(1) , C. Wagner(2) , J. Albers(2) , K. Knorr(2) ((1) Institut fuer Theoretische Physik , Universitaet des Saarlandes , Saarbruecken , Germany (2) Institut fuer Technische Physik

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classification patt-sol nlin.PS

keywords analyticalfaradayharmonicstabilitysurfacetheorywaterwaves

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We present an analytical stability theory for the onset of the Faraday instability, applying over a wide frequency range between shallow water gravity and deep water capillary waves. For sufficiently thin fluid layers the surface is predicted to occur in harmonic rather than subharmonic resonance with the forcing. An experimental confirmation of this result is given. PACS: 47.20.Ma, 47.20.Gv, 47.15.Cb

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An analytical stability theory for Faraday waves and the observation of the harmonic surface response

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