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A -space method for acoustic propagation using coupled first-order equations in three dimensions
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10.1121/1.3158857
/content/asa/journal/jasa/126/3/10.1121/1.3158857
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/3/10.1121/1.3158857

Figures

Image of FIG. 1.
FIG. 1.

Time required to execute a three-dimensional FFT on a single computer compared to the time to execute a three-dimensional FFT on a cluster of 32 computers for a grid size of , 128, 256, or 512. Each point is the average of ten trials. The single-computer architecture is a 64-bit AMD Opteron having 16 Gbytes of random access memory (RAM) running Windows XP x64 and a 64-bit version of MATLAB. The cluster of computers consists of Pentium-III 1.4 GHz processors each having 0.5 Gbyte of RAM, running Linux, and connected via a 1-Gbit/s Ethernet switched network.

Image of FIG. 2.
FIG. 2.

Spatially staggered grid.

Image of FIG. 3.
FIG. 3.

Left panel: Behavior of a PML as the maximum attenuation per cell is varied with the number of PML layers fixed at 10. Right panel: Behavior of a PML as the number of PML layers is varied and the maximum attenuation per PML cell is fixed at 3 Np.

Image of FIG. 4.
FIG. 4.

The scattered waves from a filtered (left) and unfiltered (right) 1-mm radius sphere. The horizontal axes in each panel span 360° in the plane with measurements taken at a distance of 3 mm from the sphere center and waveforms are shown on a bipolar logarithmic scale over a ±60 dB range. The vertical axes span approximately .

Image of FIG. 5.
FIG. 5.

Temporal-frequency dependence of sound speed (left) and attenuation (right) in the high-frequency band.

Image of FIG. 6.
FIG. 6.

error resulting from scattering of clinical pulse waveforms by a 4-mm diameter sphere.

Image of FIG. 7.
FIG. 7.

Scattering from sets of spheres with progressively larger radii.

Image of FIG. 8.
FIG. 8.

Scattering from a 24-mm diameter compound sphere with properties similar to those of human breast in a background of water is shown in three orthogonal planes. At the top are time frames recorded at . In the middle are time frames recorded at . At the bottom are time frames recorded at . The six frames are recorded at times 4.8, 9.6, 10.4, 11.2, 12.4, and . The incident illumination is a plane-wave pulse offset at at time with center frequency of 2.5 MHz and a Gaussian envelope with a −3 dB bandwidth of 1.7 MHz. The medium sound speed is overlayed on the pressure field with brighter areas corresponding to higher sound speed.

Image of FIG. 9.
FIG. 9.

Execution times for the three-dimensional FFT on the Franklin and SHARCNET clusters.

Tables

Generic image for table
TABLE I.

Properties of background and spheres for large-scale compound medium.

Generic image for table
TABLE II.

Positions and radii of spheres forming the large-scale compound medium.

Generic image for table
TABLE III.

errors of propagation calculations for each radius sphere in the large-scale compound medium.

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/content/asa/journal/jasa/126/3/10.1121/1.3158857
2009-09-01
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A k-space method for acoustic propagation using coupled first-order equations in three dimensions
http://aip.metastore.ingenta.com/content/asa/journal/jasa/126/3/10.1121/1.3158857
10.1121/1.3158857
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