1985
DOI: 10.1121/1.392580
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Application of a new theoretical treatment to an old problem; sinusoidal pressure release boundary scattering

Abstract: The scattering of sound from a sinusoidal pressure release boundary has long been the subject of study among researchers. Recently, R. L. Holford [J. Acoust. Soc. Am. 70, 1116-1128 (1981)] outlined an exact solution to a variant of the Helmholtz integral equation that permits calculation of the unknown velocity potential on the surface by the solution to a matrix equation. Application of this solution is made to the sinusoid to generate plane wave reflection coefficients. The reflection coefficients are then c… Show more

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Cited by 23 publications
(8 citation statements)
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“…Without alteration, phenomena such as surface self-shadowing and diffraction are also generally not well modeled using such approaches, limiting the levels of surface roughness which can be investigated. Information regarding the validity of the Kirchhoff approximation can be found in [17] and [18].…”
Section: B Rough Surface Scattering Modelsmentioning
confidence: 99%
“…Without alteration, phenomena such as surface self-shadowing and diffraction are also generally not well modeled using such approaches, limiting the levels of surface roughness which can be investigated. Information regarding the validity of the Kirchhoff approximation can be found in [17] and [18].…”
Section: B Rough Surface Scattering Modelsmentioning
confidence: 99%
“…Scattering from a large-amplitude sinusoidal surface whose wavelength is approaching that of the incident radiation is of interest in its own right. The subject has been explored extensively and continues to be active [McCammon and McDaniel, 1985;Jordan and Lang, 1979]. As with rough surface scatter in general, however, grazing incidence has been given little attention.…”
Section: Plane Surfacesmentioning
confidence: 99%
“…Periodic surfaces [5] or superposition of sinusoidal surfaces [6] seems to be a reasonable initial option and these ideas have been used to generate rough surfaces for simulations. They are relatively easy to create and the methods provide good knowledge of the characterization of the reflections from rough surfaces in general.…”
Section: Introductionmentioning
confidence: 99%
“…Scattering from rough surfaces has been investigated in many research areas including NDE [for example, [1][2][3][4][5][6]. While the reflection from a smooth crack has strong amplitude at specular angles, the amplitude from a rough crack tends to be lower than that, since the reflected energy is dissipated to the other directions depending on the roughness of the crack, and thus the amplitude increases in non-specular reflection.…”
Section: Introductionmentioning
confidence: 99%