Scattering of acoustic waves by the rough surface of an elastic solid

Blakemore, Michael

doi:10.1016/0041-624x(93)90003-i

Cited by 6 publications

(16 citation statements)

References 20 publications

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“…The results are given by Eqs. (l 1,12) and (15)(16)(17) save that for double-transmission (18) and 1 iK it.…”

Section: Ni Analytic Resultsmentioning

confidence: 99%

“…Many alternative forms of integral equations have been proposed to provide different computational advantages and an extended list of literature can be found in Ref. (15). In the following we briefly review the integral equation method since it serves as a benchmark calculation by providing numerically exact backscatter.…”

Section: A Integral Equation Methodsmentioning

confidence: 99%

“…The elements of matrices A and B are found in Ref. (15). The integrals associated with the elements of the matrices A and B over the boundary elements are computed using the 8-point…”

Section: A Integral Equation Methodsmentioning

confidence: 99%

“…ix-x'f (14) We also derive the normalized variance expression analytically in series form for the corrugated surfaces with Gaussian autocorrelation functions. We first represent the wavefield in water but just above the surface by u(oe,x,0 ) = Ue (15) where U, Ri and Fi are the estimated amplitude, radius and focal depth, respectively. Then we evaluate the normalized backscatter using the phase-screen model Eq.…”

Section: B Phase-screen Approximationmentioning

confidence: 99%

“…A considerable literature concerning the reflection of waves by the rough surfaces appeared in the past [6][7][8][9][10][11][12][13][14][15]. Kirchoff approximation and the perturbation theory are the two common approaches developed to calculate the interaction of waves with the rough surfaces and are reviewed by Ogilvy [16].…”

Section: General Introductionmentioning

confidence: 99%

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Effects of randomly rough surfaces on ultrasonic inspection

Bilgen

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“…The results are given by Eqs. (l 1,12) and (15)(16)(17) save that for double-transmission (18) and 1 iK it.…”

Section: Ni Analytic Resultsmentioning

confidence: 99%

Section: A Integral Equation Methodsmentioning

confidence: 99%

“…The elements of matrices A and B are found in Ref. (15). The integrals associated with the elements of the matrices A and B over the boundary elements are computed using the 8-point…”

Section: A Integral Equation Methodsmentioning

confidence: 99%

Section: B Phase-screen Approximationmentioning

confidence: 99%

Section: General Introductionmentioning

confidence: 99%

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Effects of randomly rough surfaces on ultrasonic inspection

Bilgen

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Rayleigh angle incident ultrasonic beam shape design influence on reflected beam

Declercq

2023

Acta Acust.

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Current evolutions in transducer design, such as phased arrays, but more importantly, metamaterials-based acoustic lenses, potentially enable generating specific beam shapes earlier unconsidered. It is known that the Schoch effect, when a bounded incident beam on a submerged solid reflects at the Rayleigh angle, depends on the beam width and the frequency. This work numerically explores the consequence of the shape of such beams on the Schoch effect and invites further experimental work. The study investigates square shapes and beams with exponential flanks compared to Gaussian reference profiles and incorporates diffraction upon sound propagation to resemble reality better. It is shown that stunning differences occur depending on the beam shape, particularly for square beams.

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Measurement models for ultrasonic nondestructive evaluation

Block

Harris

Hayat

2000

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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The article reviews ways to use the electromechanical reciprocity relation to construct theoretical models of measurement processes in ultrasonic nondestructive evaluation. This relationship is important because it connects the change in the voltages measured at the electrical terminal of the transducer to the perturbation in the mechanical wavefield caused by the change in the propagation environment. It does so by mixing an unperturbed reference wavefield with one containing the perturbed wavefield. Two problems of progressive difficulty are explored. We begin by investigating the imaging of a one-dimensional sinusoidal fluid-solid interface using a cylindrically focused beam and continue by developing a model of the imaging of the mechanical properties of a two-dimensional, thin solid film using a confocal arrangement of point-focused transducers. This last problem uses an approximation to the thin solid film, which reduces its mechanical response to one similar to that of a membrane. Integral relations are given that can be used to form integral equations or to generate asymptotic approximations to the particle displacements and stresses in the film.

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Scattering of acoustic waves by the rough surface of an elastic solid

Cited by 6 publications

References 20 publications

Effects of randomly rough surfaces on ultrasonic inspection

Effects of randomly rough surfaces on ultrasonic inspection

Rayleigh angle incident ultrasonic beam shape design influence on reflected beam

Measurement models for ultrasonic nondestructive evaluation

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