Time-domain Helmholtz-Kirchhoff integral for surface scattering in a refractive medium

TitleTime-domain Helmholtz-Kirchhoff integral for surface scattering in a refractive medium
Publication TypeJournal Article
Year of Publication2017
AuthorsChoo Y., Song HC, Seonga W.
JournalJournal of the Acoustical Society of America
Date Published2017/03
Type of ArticleArticle
ISBN Number0001-4966
Accession NumberWOS:000398962500015
Keywordspressure-release; reflected acoustic pulses; rough-surface; sound-propagation; spectrum; wave profiles

The time-domain Helmholtz-Kirchhoff (H-K) integral for surface scattering is derived for a refractive medium, which can handle shadowing effects. The starting point is the H-K integral in the frequency domain. In the high-frequency limit, the Green's function can be calculated by ray theory, while the normal derivative of the incident pressure from a point source is formulated using the ray geometry and ray-based Green's function. For a corrugated pressure-release surface, a stationary phase approximation can be applied to the H-K integral, reducing the surface integral to a line integral. Finally, a computationally-efficient, time-domain H-K integral is derived using an inverse Fourier transform. A broadband signal scattered from a sinusoidal surface in an upwardly refracting medium is evaluated with and without geometric shadow corrections, and compared to the result from a conventional ray model. (C) 2017 Acoustical Society of America

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