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Computational method for acoustic wave focusing

A. G. Ramm·S. Gutman
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Abstract

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood as a solution of a potential scattering problem with the potential $q$ explicitly related to the density of the small particles. In this paper we examine the inverse problem of designing a material with the desired focusing properties. An algorithm for such a problem is examined from the theoretical as well as from the numerical perspective.

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A. G. Ramm, S. Gutman. 2006-10-12. Computational method for acoustic wave focusing. https://arxiv.org/abs/math-ph/0610029

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