Parametric interaction of gravity-capillary wave triads under radiation pressure of ultrasound

Leonid Krutyansky; Vladimir Preobrazhensky; Dmitrii Makalkin; Andrey Brysev; Philippe Pernod

doi:10.1016/j.ultras.2019.105972

Parametric interaction of gravity-capillary wave triads under radiation pressure of ultrasound

Ultrasonics. 2020 Jan:100:105972. doi: 10.1016/j.ultras.2019.105972. Epub 2019 Aug 2.

Authors

Leonid Krutyansky¹, Vladimir Preobrazhensky², Dmitrii Makalkin², Andrey Brysev², Philippe Pernod³

Affiliations

¹ Prokhorov General Physics Institute of the Russian Academy of Sciences, 38 Vavilov str., 119991 Moscow, Russia; Joint International Laboratory LIA LICS, France-Russia. Electronic address: leonid.krut@kapella.gpi.ru.
² Prokhorov General Physics Institute of the Russian Academy of Sciences, 38 Vavilov str., 119991 Moscow, Russia; Joint International Laboratory LIA LICS, France-Russia.
³ Univ. Lille, CNRS, Centrale Lille, ISEN, Univ. Valenciennes, UMR 8520 - IEMN, F-59000 Lille, France; Joint International Laboratory LIA LICS, France-Russia.

PMID: 31479967
DOI: 10.1016/j.ultras.2019.105972

Abstract

Nonlinear parametric coupling of gravity-capillary waves (GCW) by ultrasound wave impinging on a liquid surface is studied experimentally. Modulation of the plane wave radiation pressure by dynamically curved surface of the liquid is considered as a mechanism of the coupling. The standing GCW modes are excited near antinodes by ultrasound beam of carrier frequency 1.030 MHz and coupled parametrically by a plane ultrasound wave with a frequency 1.035 MHz. The beam was modulated at resonance frequencies of GCW overtones f₂=5.265 Hz and f₄=7.873 Hz while intensity of the plane wave was modulated at frequency f_p=2.657 Hz that corresponds to the nonlinear parametric resonance f_p=2f₂-f₄. The amplitudes of the parametric interaction of GCW triads are measured and compared with critical condition for GCWs explosive instability.

Keywords: Gravity-capillary waves; Instability threshold; Interaction amplitudes; Three wave parametric coupling; Ultrasound pumping.