Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900709 | Wave Motion | 2013 | 11 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
Maxence Cassier, Christophe Hazard,