Inverse scattering with fixed observation angle data in 2D |
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Authors: | Georgios Fotopoulos |
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Affiliation: | Department of Mathematical Sciences, University of Oulu, Oulu, Finland. |
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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. |
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Keywords: | Inverse scattering fixed angle data Born approximation nonlinear Schrödinger equation numerical solution |
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