Scattering of scalar waves by many small particles
Source abstract
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.
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Research context
OpenAlex topics: Numerical methods in inverse problems · Composite Material Mechanics · Seismic Imaging and Inversion Techniques
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Affiliations
Department of Mathematics, Kansas State University , Manhattan, KS 66506-2602, USA
References (25)
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