Original Article
A numerical method for solving 3D inverse scattering problem with non-over-determined data
Author(s): Alexander G Ramm*
A new numerical method is given for solving 3D inverse scattering problem (ISP) with non-over-determined scattering data. No such results were known. The ISP is not solved by a parameter fitting procedure. The method is based on the author’s uniqueness theorem. The data are the values of the scattering amplitude for all β∈S2β, where S2β is an open subset of the unit sphere S2 in â�?�?�?3, α0 ∈ S2 is fixed, and all k ∈ (a,b), where 0 ≤ a < b. The basic uniqueness theorem for solving the inverse scattering problem with non-over-determined scattering data belongs to the author. Earlier there were no results on numerical methods for solving the inverse scattering problem with such data. The proposed numerical method for solving the inverse scattering problem is origina.. Read More»
DOI:
10.37532/2752-8081.17.1.1
+447723598358
