Ramm, Alexander G.Skiadas, Christos H.Dimotikalis, IoannisSkiadas, Charilaos2012-01-052012-01-052011-http://hdl.handle.net/2097/13322Many-body quantum-mechanical scattering problem is solved asymptotically when the size of the scatterers (inhomogeneities) tends to zero and their number tends to infinity. A method is given for calculation of the number of small inhomogeneities per unit volume and their intensities such that embedding of these inhomogeneities in a bounded region results in creating a new system, described by a desired potential. The governing equation for this system is a non-relativistic Schr¨odinger’s equation described by a desired potential. Similar ideas were developed by the author for acoustic and electromagnetic (EM) wave scattering problems.This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Wave scattering by small inhomogeneitiesMetamaterialsNanotechnologyRefraction coefficientNegative refractionConference paper