Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900629 | Wave Motion | 2008 | 16 Pages |
Abstract
The scattering problem of an incident plane sound wave by a finite number of small soft-sound arbitrarily shaped bodies is considered. A system of first-class Fredholm integral equations is posed which, for the small bodies, yields a system of potential equation sequences for power solution expansion. Reciprocity relations were exploited to construct the first and second order asymptotic models which give approximate solutions valid for a large number of small bodies. The leading two terms of the asymptotics for the farfield amplitude and the scattering cross section are obtained. The case of a several elliptic discs is considered in detail.
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Authors
Ivan I. Argatov, Federico J. Sabina,