On spherical‐wave scattering by a spherical scatterer and related near‐field inverse problems
A spherical acoustic wave is scattered by a bounded obstacle. A generalization of the ‘optical theorem’ (which relates the scattering cross‐section to the far‐field pattern in the forward direction for an incident plane wave) is proved. For a spherical scatterer, low‐frequency results are obtained b...
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| Veröffentlicht in: | IMA journal of applied mathematics 2001-12, Vol.66 (6), p.539-549 |
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| container_end_page | 549 |
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| container_issue | 6 |
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| container_title | IMA journal of applied mathematics |
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| creator | Athanasiadis, C. Martin, P. A. Stratis, I. G. |
| description | A spherical acoustic wave is scattered by a bounded obstacle. A generalization of the ‘optical theorem’ (which relates the scattering cross‐section to the far‐field pattern in the forward direction for an incident plane wave) is proved. For a spherical scatterer, low‐frequency results are obtained by approximating the known exact solution (separation of variables). In particular, a closed‐form approximation for the scattered wavefield at the source of the incident spherical wave is obtained. This leads to the explicit solution of some simple near‐field inverse problems, where both the source and coincident receiver are located at several points in the vicinity of a small sphere. |
| doi_str_mv | 10.1093/imamat/66.6.539 |
| format | Article |
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A. ; Stratis, I. G.</creator><creatorcontrib>Athanasiadis, C. ; Martin, P. A. ; Stratis, I. G.</creatorcontrib><description>A spherical acoustic wave is scattered by a bounded obstacle. A generalization of the ‘optical theorem’ (which relates the scattering cross‐section to the far‐field pattern in the forward direction for an incident plane wave) is proved. For a spherical scatterer, low‐frequency results are obtained by approximating the known exact solution (separation of variables). In particular, a closed‐form approximation for the scattered wavefield at the source of the incident spherical wave is obtained. 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This leads to the explicit solution of some simple near‐field inverse problems, where both the source and coincident receiver are located at several points in the vicinity of a small sphere.</description><subject>Acoustics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>near field inverse problems</subject><subject>optical theorem</subject><subject>Physics</subject><subject>small spherical scatterer</subject><subject>spherical acoustic waves</subject><subject>Underwater sound</subject><issn>0272-4960</issn><issn>1464-3634</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpFkE1rGzEQhkVoIK7Tc66ikOPao48drY7BbeJCIDQfUHoR2vUo3XS9dqXN1y0_ob-xv6Qqm9TMYWDmeedlXsaOBMwEWDVv137thzniDGelsntsIjTqQqHS79gEpJGFtggH7H1KdwAgSgMT5i96nrY_KLaN7_68_H70D8RT44chj_pbXj9zvwPeNhS571c8UucHWvGefMza0FK34m3_QDER38ZN3dE6HbL94LtEH177lN2cfr5eLIvzi7Mvi5PzotEAQ2GMFpKaukIMWilhjAgS6hA0VqUyupEebLAkq9IqCx5AkaoCaqst1SjUlH0c72bjX_eUBne3uY99tnRSSCglIGZoPkJN3KQUKbhtzMHFZyfA_YvRjTE6RIcux5gVx69nfX6-C9H3TZt2Mp3LWJ25YuTaNNDT_72PPx0aZUq3_Pbdff10qi-vSuWM-gs1aYTQ</recordid><startdate>20011201</startdate><enddate>20011201</enddate><creator>Athanasiadis, C.</creator><creator>Martin, P. 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| ispartof | IMA journal of applied mathematics, 2001-12, Vol.66 (6), p.539-549 |
| issn | 0272-4960 1464-3634 |
| language | eng |
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| source | Oxford University Press Journals Current |
| subjects | Acoustics Exact sciences and technology Fundamental areas of phenomenology (including applications) near field inverse problems optical theorem Physics small spherical scatterer spherical acoustic waves Underwater sound |
| title | On spherical‐wave scattering by a spherical scatterer and related near‐field inverse problems |
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