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Analytical time-domain Green’s functions for power-law media
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10.1121/1.2977669
/content/asa/journal/jasa/124/5/10.1121/1.2977669
http://aip.metastore.ingenta.com/content/asa/journal/jasa/124/5/10.1121/1.2977669
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Plots of maximally skewed stable PDFs for four sublinear attenuation cases: , , , and . Equations (26a)–(26d) are evaluated for , , and , while the case is evaluated with the STABLE toolbox (Ref. 32 ).

Image of FIG. 2.
FIG. 2.

Plots of maximally skewed stable PDFs for four superlinear attenuation cases: , , , and 2. Equations (32a) and (32b) are evaluated for and 2, while the and cases are evaluated with the STABLE toolbox (Ref. 32 ).

Image of FIG. 3.
FIG. 3.

Comparison of 3D Green’s functions using (a) the MIRF approach and (b) the analytical Green’s function approach given by Eq. (18) . Green’s functions are displayed at three different depths with , , and .

Image of FIG. 4.
FIG. 4.

Snapshots of the 3D power-law Green’s function for , 1.5, and 2.0 for . Snapshots of the Green’s function are shown for , 30, 40, and .

Image of FIG. 5.
FIG. 5.

Velocity potential produced by a point source excited by a broadband pulse defined by Eq. (42) in two power-law media: (1) a fat-like medium with , , and and (2) a liver-like medium with , , and . The velocity potential is displayed at radial distances 10, 25, 50, and .

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/content/asa/journal/jasa/124/5/10.1121/1.2977669
2008-11-01
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analytical time-domain Green’s functions for power-law media
http://aip.metastore.ingenta.com/content/asa/journal/jasa/124/5/10.1121/1.2977669
10.1121/1.2977669
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