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Inverse scattering with fixed observation angle data in 2D
Authors:Georgios Fotopoulos
Affiliation:Department of Mathematical Sciences, University of Oulu, Oulu, Finland.
Abstract:We study the inverse scattering problem with fixed observation angle data for a non-linear Schrödinger equation in 2D. We show that the main singularities of an unknown potential can be recovered from the Born approximation. Numerical examples are given to illustrate the method.
Keywords:Inverse scattering  fixed angle data  Born approximation  nonlinear Schrödinger equation  numerical solution
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