Sound propagation in a solid through a screen of cylindrical scatterers

dc.creatorAngel, Yves C.
dc.creatorAristégui, Christophe
dc.creatorCaleap, Mihai
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:09Z
dc.date.available2026-07-07T12:58:09Z
dc.descriptionThe propagation of SH waves in a solid containing a screen of line-like scatterers is investigated. When the scatterers are uniformly distributed, the amplitudes of the coherent waves inside and outside the screen are evaluated in closed form. In the analysis, multiple scattering effects are taken into account within the context of a first-order approximation. A Global Closure Assumption is proposed, which yields an effective wavenumber identical to that of Waterman and Truell. The scatterers can be fibers of circular or elliptical cross-sections; they can also be two-dimensional cracks with slit-like or elliptical cross-sections. Specific analytical and numerical results are presented for flat cracks and empty cavities of circular cross-sections. In those two cases, figures are presented to illustrate the variations of the reflection and transmission coefficients as functions of frequency and of scatterer concentration. The crack and cavity results, respectively, are compared with those of earlier works.
dc.identifierhttps://arxiv.org/abs/0903.5191
dc.identifierhttp://arxiv.org/abs/0903.5191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225144
dc.subjectClassical Physics
dc.titleSound propagation in a solid through a screen of cylindrical scatterers
dc.typetext

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