Observation of Sommerfeld Precursors on a Fluid Surface

Phys. Rev. Lett. 91, 064502 – Published 7 August 2003
Éric Falcon, Claude Laroche, and Stéphan Fauve


We report the observation of two types of Sommerfeld precursors (or forerunners) on the surface of a layer of mercury. When the fluid depth increases, we observe a transition between these two precursor surface waves in good agreement with the predictions of asymptotic analysis. At depths thin enough compared to the capillary length, high frequency precursors propagate ahead of the “main signal” and their period and amplitude, measured at a fixed point, increase in time. For larger depths, low frequency “precursors” follow the main signal with a decreasing period and amplitude. These behaviors are understood in the framework of the analysis first introduced for linear transient electromagnetic waves in a dielectric medium by Sommerfeld [Ann. Phys. (Leipzig) 44, 177 (1914)] and Brillouin [Ann. Phys. (Leipzig) 44, 203 (1914)].

DOI: http://dx.doi.org/10.1103/PhysRevLett.91.064502

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  • Received 11 March 2003
  • Published 7 August 2003

© 2003 The American Physical Society

Authors & Affiliations

Éric Falcon1,*, Claude Laroche1, and Stéphan Fauve2

  • 1Laboratoire de Physique, École Normale Supérieure de Lyon, UMR 5672, 46, allée d’Italie, 69 007 Lyon, France
  • 2Laboratoire de Physique Statistique, École Normale Supérieure, UMR 8550, 24, rue Lhomond, 75 005 Paris, France

  • *Corresponding author.Email address: Eric.Falcon@ens-lyon.frElectronic address: http://www.ens-lyon.fr/~efalcon/

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