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Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions Mathematical justification of the Foldy–Lax model


, : Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions Mathematical justification of the Foldy–Lax model. Wave Motion 50(1): 18-28

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.

US$19.90

DOI: 10.1016/j.wavemoti.2012.06.001


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