2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117740Scattering 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.13 pages, 4 figuresMathematical PhysicsAnalysis of PDEs35J05; 35J10; 35R30; 74J25; 81U40; 81V05text