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Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation
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10.1121/1.3504705
/content/asa/journal/jasa/129/1/10.1121/1.3504705
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/1/10.1121/1.3504705
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

The sound pressure amplitude of the second harmonic (a) along the axis for different solutions and (b) along the lateral dimension for different solutions.

Image of FIG. 2.
FIG. 2.

(a) Curves of errors for the present method showing the L2 error for forward projection step size and propagation distance measured in shock-formation distance σ. (b) Comparison between the present method and analytic solution for one-dimensional nonlinear wave propagation at 3.3σ.

Image of FIG. 3.
FIG. 3.

Deviation of results at the first three frequencies to their mean values for a steering transducer as a function of the steering angle.

Image of FIG. 4.
FIG. 4.

(a) Initial pressure in the center of the transducer for the three-dimensional simulation (1025 grid points). (b) Waveform spectrum of the initial pressure in the center of the transducer (32 harmonics). (c) Spatial distribution for the fundamental frequency component along the x axis (121 grid points). (d) Spatial spectrum for the fundamental frequency. (e) Time-domain comparison between the present method and Abersim at the focus (z = 75mm) for three-dimensional nonlinear wave propagation from a single-element circular transducer in muscle tissue. (f) Frequency-domain comparison (first four harmonics).

Image of FIG. 5.
FIG. 5.

(a) Three-dimensional forward-projected signal at the focus plane (z = 75mm, y = 0mm). (b) Three-dimensional backward-projected signal at the source position (z = 0mm, y = 0mm). (c) Initial signal at the source position (z = 0mm, y = 0mm). The medium is human muscle.

Image of FIG. 6.
FIG. 6.

Comparison of the nonlinear backward-projected signal, linear backward-projected signal, and initial signal on the center of the transducer. The medium is human muscle.

Image of FIG. 7.
FIG. 7.

(a) Three-dimensional forward-projected signal at the focus plane (z = 60mm, y = 0mm). (b) Three-dimensional backward-projected signal at the source position (z = 0mm, y = 0mm). (c) Initial signal at the source position (z = 0mm, y = 0mm). The medium is human cancellous bone.

Image of FIG. 8.
FIG. 8.

Comparison of the nonlinear backward-projected signal, linear backward-projected signal, and initial signal on the center of the transducer. The medium is human cancellous bone.

Image of FIG. 9.
FIG. 9.

The sound pressure amplitude of the third harmonic along the lateral dimension for different solutions.

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/content/asa/journal/jasa/129/1/10.1121/1.3504705
2011-02-02
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Evaluation of a wave-vector-frequency-domain method for nonlinear wave propagation
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/1/10.1121/1.3504705
10.1121/1.3504705
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