Physics – Mathematical Physics
Scientific paper
2006-10-12
Physics
Mathematical Physics
13 pages, 4 figures
Scientific paper
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.
Gutman Semion
Ramm Alexander G.
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