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.
International Journal of Computing Science and Mathematics, 2007 Vol.1 No.1, pp.1 - 15
Published online: 25 May 2007 *Full-text access for editors Access for subscribers Purchase this article Comment on this article