Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy–Lax model
We are concerned with a two-dimensional problem which models the scattering of a time-harmonic acoustic wave by an arbitrary number of sound-soft circular obstacles. Assuming that their radii are small compared to the wavelength, we propose a mathematical justification of different levels of asympto...
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| Veröffentlicht in: | Wave motion 2013-01, Vol.50 (1), p.18-28 |
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| container_title | Wave motion |
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| creator | Cassier, Maxence Hazard, Christophe |
| description | We are concerned with a two-dimensional problem which models the scattering of a time-harmonic acoustic wave by an arbitrary number of sound-soft circular obstacles. Assuming that their radii are small compared to the wavelength, we propose a mathematical justification of different levels of asymptotic models available in the physical literature, including the so-called Foldy–Lax model.
► Different levels of asymptotic models are introduced. ► Three points of view are adopted: physical, asymptotic and mathematical. ► Error estimates for each model are provided. |
| doi_str_mv | 10.1016/j.wavemoti.2012.06.001 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0165-2125 |
| ispartof | Wave motion, 2013-01, Vol.50 (1), p.18-28 |
| issn | 0165-2125 1878-433X |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Acoustics Asymptotic properties Asymptotics Exact sciences and technology Foldy–Lax model Fundamental areas of phenomenology (including applications) Linear acoustics Mathematical models Mathematical Physics Mathematics Multiple scattering Obstacles Physics Point scatterers Scattering Structural acoustics and vibration Two dimensional Wave motion Wavelengths |
| title | Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy–Lax model |
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