Numerical study of three-dimensional sound reflection from corrugated surface waves

TitleNumerical study of three-dimensional sound reflection from corrugated surface waves
Publication TypeJournal Article
Year of Publication2016
AuthorsChoo Y, Song HC, Seong W
JournalThe Journal of the Acoustical Society of America
Date Published2016/11
Type of ArticleJournal article
Keywordsacoustic focusing; acoustic signal processing; acoustic wave propagation; acoustic wave reflection; acoustic wave scattering

When a sound wave propagates in a water medium bounded by a smooth surface wave, reflection from a wave crest can lead to focusing and result in rapid variation of the received waveform as the surface wave moves [Tindle, Deane, and Preisig, J. Acoust. Soc. Am. 125, 66–72 (2009)]. In prior work, propagation paths have been constrained to be in a plane parallel to the direction of corrugated surface waves, i.e., a two-dimensional (2-D) propagation problem. In this paper, the azimuthal dependence of sound propagation as a three-dimensional (3-D) problem is investigated using an efficient, time-domain Helmholtz–Kirchhoff integral formulation. When the source and receiver are in the plane orthogonal to the surface wave direction, the surface wave curvature vanishes in conventional 2-D treatments and the flat surface simply moves up and down, resulting in minimal temporal variation of the reflected signal intensity. On the other hand, the 3-D propagation analysis reveals that a focusing phenomenon occurs in the reflected signal due to the surface wave curvature formed along the orthogonal plane, i.e., out-of-plane scattering.

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