Research Article - Journal of Applied Mathematics and Statistical Applications (2018) Volume 1, Issue 2

A numerical solution of inverse scattering problem with non-over-determined data

The 3D inverse scattering problem with non-over-determined scattering data is considered. The data are the scattering amplitude A(β, α₀, k) for all β ∈ S²_β, where S²_β is an open subset of the unit sphere S² in R³, α₀ ∈ S² is fixed, and K ∈ (a, b),0 ≤ a < b. In this paper, a numerical method is given for solving the inverse scattering problem with non-over-determined scattering data and the numerical results are presented.

Author(s): Alexander Ramm, Cong Van

Abstract Full Text PDF