Scattering of scalar waves by many small particles

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Scattering of scalar - publisher's PDF.pdf (371.04 KB)

Date

Authors

Ramm, Alexander G.

Abstract

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size a of small particles tends to zero while their number tends to infinity at a suitable rate. Equations for the limiting effective (self-consistent) field in the medium are derived.

Keywords

Acoustic impedance, Acoustic wave scattering, Inhomogeneous media, Many-body problems

URI

http://hdl.handle.net/2097/13836

Collections

Mathematics Faculty Research and Publications

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