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Evaluation of the angular spectrum approach for simulations of near-field pressures
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10.1121/1.2812579
/content/asa/journal/jasa/123/1/10.1121/1.2812579
http://aip.metastore.ingenta.com/content/asa/journal/jasa/123/1/10.1121/1.2812579
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) The source plane consisting of a nonzero normal particle velocity distribution in a square area on the piston surface. The remaining area is filled with zeros.

Image of FIG. 2.
FIG. 2.

A two-dimensional cross section of the three-dimensional reference pressure generated by a square piston in nonattenuating media. The excitation frequency is , and the normal particle velocity distribution is uniform across the piston surface. The reference pressure is computed with the fast near-field method. The result is normalized to the maximum pressure amplitude computed in the three-dimensional volume.

Image of FIG. 3.
FIG. 3.

Simulated pressure generated by a square piston in nonattenuating media computed by the angular spectrum approach using (a) the spectral propagator without angular restriction, (b) the spectral propagator with angular restriction, and (c) the spatial propagator. The excitation frequency is . All fields are calculated in successive transverse planes , so the circular convolution errors generated by the spatial propagator are included.

Image of FIG. 4.
FIG. 4.

Axial plots of the absolute value of the simulated complex pressure. Results are shown for the reference, the angular spectrum approach using the spectral propagator without and with angular restriction, and the spatial propagator.

Image of FIG. 5.
FIG. 5.

Normalized root mean squared errors for the pressure generated by a uniform normal particle velocity distribution in nonattenuating media. The errors are evaluated in three-dimensional volumes where the lateral dimensions are (a) and (b) with . The markers on the curves indicate the corresponding results shown in Fig. 3.

Image of FIG. 6.
FIG. 6.

The absolute value of the complex reference pressure generated by a square piston in attenuating media . The excitation frequency is and the normal velocity distribution is uniform across the piston surface. The reference pressure is computed with the fast near-field method.

Image of FIG. 7.
FIG. 7.

The absolute value of the simulated complex pressure in attenuating media computed with the angular spectrum approach using (a) the spectral propagator without angular restriction, (b) the spectral propagator with angular restriction, and (c) the spatial propagator. All fields are calculated in successive transverse planes and truncated to , where .

Image of FIG. 8.
FIG. 8.

Normalized root mean squared errors for the pressure generated in attenuating media by a uniformly excited square piston. The errors are evaluated in three-dimensional volumes where the lateral dimensions are with . The markers on the curves indicate the corresponding results shown in Fig. 7.

Image of FIG. 9.
FIG. 9.

The absolute value of the simulated complex pressure in nonattenuating media generated by a square piston with apodized normal particle velocity distribution. (a) The reference pressure and (b) the pressure computed by the spectral propagator without angular restriction. The excitation frequency is .

Image of FIG. 10.
FIG. 10.

Normalized root mean squared errors for the pressure generated in nonattenuating media by a square piston with an apodized normal particle velocity distribution. The errors are evaluated in three-dimensional volumes where the lateral dimensions are with . The marker on the dotted line indicates the result in Fig. 9(b).

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/content/asa/journal/jasa/123/1/10.1121/1.2812579
2008-01-01
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Evaluation of the angular spectrum approach for simulations of near-field pressures
http://aip.metastore.ingenta.com/content/asa/journal/jasa/123/1/10.1121/1.2812579
10.1121/1.2812579
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