Theory of acoustic scattering by supported ridges at a solid-liquid interface

A. Khelif, J. O. Vasseur, Ph Lambin, B. Djafari-Rouhani, Pierre A Deymier

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We combine a general Green's function formalism and an approach due to Nyborg [W. L. Nyborg, in Acoustic Streaming, Physical Acoustics, edited by W. P. Mason (Academic, London, 1965), Vol. II B, Chap. 11] to calculate the first-order pressure and second-order pressure gradient fields in the vicinity of solid inhomogeneities at a solid/liquid interface. We treat the problem of scattering of an incident acoustic plane wave by a single ridge and two parallel ridges separated by a trench on a planar substrate. The calculated vibrational density of states shows the existence of resonances at low frequencies, especially in the case of a trench. Excitation of a trench resonant vibrational mode enhances the magnitude of the first-order pressure and of the second-order pressure gradient. The resonant frequencies of a trench decrease and the pressure enhancement increases with increasing aspect ratio of the ridges (height to width).

Original languageEnglish (US)
Article number036601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number3
DOIs
StatePublished - Mar 2002

Fingerprint

Acoustic Scattering
acoustic scattering
liquid-solid interfaces
Ridge
ridges
Liquid
Pressure Gradient
pressure gradients
Acoustics
acoustic streaming
First-order
acoustics
Resonant Frequency
Density of States
Acoustic Waves
Streaming
Inhomogeneity
Aspect Ratio
Plane Wave
Low Frequency

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Theory of acoustic scattering by supported ridges at a solid-liquid interface. / Khelif, A.; Vasseur, J. O.; Lambin, Ph; Djafari-Rouhani, B.; Deymier, Pierre A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 3, 036601, 03.2002.

Research output: Contribution to journalArticle

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