Analytic Stability Theory for Faraday Waves and the Observation of the Harmonic Surface Response

H. W. Müller; H. Wittmer; C. Wagner; J. Albers; K. Knorr

doi:10.1103/PhysRevLett.78.2357

Analytic Stability Theory for Faraday Waves and the Observation of the Harmonic Surface Response

H. W. Müller, H. Wittmer, C. Wagner, J. Albers, and K. Knorr

Phys. Rev. Lett. 78, 2357 – Published 24 March 1997

Abstract

We present an analytic expression for the onset of the Faraday instability, which is applicable to a wide frequency range covering both shallow gravity and deep capillary waves. For sufficiently thin fluid layers, the surface oscillates in harmonic rather than subharmonic resonance with the forcing. An experimental confirmation of this result is reported.

Received 14 August 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.2357

Authors & Affiliations

H. W. Müller¹, H. Wittmer¹, C. Wagner², J. Albers², and K. Knorr²

¹Institut für Theoretische Physik, Universität des Saarlandes, Postfach 151150, D 66041 Saarbrücken, Germany
²Institut für Technische Physik, Universität des Saarlandes, Postfach 151150, D 66041 Saarbrücken, Germany