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Diffuse ultrasonic backscatter at normal incidence through a curved interface
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10.1121/1.3500683
/content/asa/journal/jasa/128/6/10.1121/1.3500683
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/6/10.1121/1.3500683
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of a general immersion type ultrasonic experimental setup. The curvature in the POI is denoted as κ1 while the curvature out of the plane is denoted as κ2.

Image of FIG. 2.
FIG. 2.

(Color online) Schematic showing the impact of interface curvature on focal length in the solid for identical water path assuming concave (κ > 0), convex (κ < 0), and planar interfaces.

Image of FIG. 3.
FIG. 3.

Contour plot of the Wigner transform of a Gaussian beam for different curvatures: (a) κ1 = κ2 = 25 m−1 (concave; spherical), (b) κ1 = κ2 = −25 m−1 (convex; spherical), (c) κ1 = 25 m−1 (concave; cylindrical), κ2 = 0, and (d) κ1 = κ2 = 0 (planar). Note the difference in the amplitude scale for each plot.

Image of FIG. 4.
FIG. 4.

Theoretical diffuse backscatter amplitude as a function of time for different interface curvatures with all other parameters held constant.

Image of FIG. 5.
FIG. 5.

(Color online) Example diffuse ultrasonic experimental setup. The transducer pulse-echo signal is collected at several different spatial positions (t d and t MP are the times required to travel twice the depth of the material and the MP, respectively). The variance of the signal shows the level of the scattering relative to the front and backwall reflections.

Image of FIG. 6.
FIG. 6.

Extraction of correlation length from experimental data: (a) Experimental result using a 15 MHz focused transducer on a steel sample (average grain size 15.3 μm) through a planar surface, (b) theoretical Λ(t), and (c) at respective time points.

Image of FIG. 7.
FIG. 7.

(Color online) Experimental result using a 15 MHz focused transducer on a steel sample (average grain size 15.3 μm) through a planar surface. The experimental curve is fit using the theoretical model in order to extract the spatial correlation length (the fit shown uses L = 15.5 μm).

Image of FIG. 8.
FIG. 8.

(Color online) Schematic of the ultrasonic experimental setup for measurements on cylindrical samples.

Image of FIG. 9.
FIG. 9.

(Color online) Experimental result using a 15 MHz focused transducer on a steel sample (average grain size 15.3 μm) through a cylindrical surface. The experimental curve is fit using the theoretical model in order to extract the spatial correlation length (the best fit shown uses L = 16.1 μm).

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/content/asa/journal/jasa/128/6/10.1121/1.3500683
2010-12-01
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Diffuse ultrasonic backscatter at normal incidence through a curved interface
http://aip.metastore.ingenta.com/content/asa/journal/jasa/128/6/10.1121/1.3500683
10.1121/1.3500683
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