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An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions
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10.1121/1.2714919
/content/asa/journal/jasa/121/5/10.1121/1.2714919
http://aip.metastore.ingenta.com/content/asa/journal/jasa/121/5/10.1121/1.2714919

Figures

Image of FIG. 1.
FIG. 1.

Description of thin structures; overlapping patches and corresponding parametric spaces are constructed to cover the scatterer of thickness of the order of the wavelength of incoming radiation.

Image of FIG. 2.
FIG. 2.

(Color online) Four patches used to cover the spherical shell and corresponding discretization grids used for the scattering computation.

Image of FIG. 3.
FIG. 3.

(Color online) Scattering of an incoming plane-wave by a thin spherical shell. (a), (b), and (c) The surface view of the incident, total, and scattered field, respectively; (d), (e), and (f) the corresponding cross-sectional view.

Image of FIG. 4.
FIG. 4.

(Color online) Patches used for the bean shaped scattering geometry and corresponding discretization grids for computation.

Image of FIG. 5.
FIG. 5.

(Color online) Scattering of an incoming plane wave by a bean-shaped thin scatterer. (a), (b), and (c) The surface view of the incident, total, and scattered field, respectively; (d), (e), and (f) the corresponding cross-sectional view.

Image of FIG. 6.
FIG. 6.

(Color online) Scattering of an incoming plane wave by a thin scatterer with singularities. (a) and (b) The surface view and cross-sectional view of the computed scattered field, respectively, corresponding to an incident plane wave with .

Image of FIG. 7.
FIG. 7.

(Color online) Variable index example. (a) and (b) The surface and cross-sectional views of the refractive index. (c) and (d) The surface view and cross-sectional view of the computed scattered field, respectively, corresponding to an incident plane wave with .

Image of FIG. 8.
FIG. 8.

(Color online) (a) The decomposition of an inhomogeneity (a circular cylinder with radius and constant refractive index ) into two thin-volume patches and one bulk patch, with the associated discretization mesh. (b) The near field intensity of the solution due to an incident plane wave traveling from lower-left to upper-right with .

Tables

Generic image for table
TABLE I.

Convergence study. Plane-wave scattering by a spherical shell (; ).

Generic image for table
TABLE II.

Computational efficiency. Spherical shell geometry.

Generic image for table
TABLE III.

(a) Maximum relative near field error (as compared with the analytical solution) for the scattering configuration in Fig. 8 with discretization points. (b) Computational time per iteration for incident plane waves of increasing frequency (and corresponding increases in the number of unknowns).

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/content/asa/journal/jasa/121/5/10.1121/1.2714919
2007-05-01
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions
http://aip.metastore.ingenta.com/content/asa/journal/jasa/121/5/10.1121/1.2714919
10.1121/1.2714919
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