Title: Computational method for acoustic wave focusing

Authors: A.G. Ramm, S. Gutman

Addresses: Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, USA. ' Mathematics Department, University of Oklahoma, Norman, OK 73019, USA

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 behaviour 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 solving such a problem is examined from the theoretical as well as from the numerical points of view.

Keywords: smart materials; inverse scattering; acoustic waves; acoustic wave scattering; computational methods; acoustic wave focusing; radiation patterns; ill-posed problems.

DOI: 10.1504/IJCSM.2007.013760

International Journal of Computing Science and Mathematics, 2007 Vol.1 No.1, pp.1 - 15

Published online: 25 May 2007 *

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