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arXiv · 1702.00028

Numerical results of solving 3D inverse scattering problem with non-over-determined data

C. Van
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Abstract

We consider the 3D inverse scattering problem with non-over-determined scattering data. The data are the scattering amplitude $A(β, α_0, k)$ for all $β\in S_β^2$, where $S_β^2$ is an open subset of the unit sphere $S^2$ in $\mathbb{R}^3$, $α_0 \in S^2$ is fixed, and for all $k \in (a,b), 0 \leq a < b$. The basic uniqueness theorem for this problem belongs to Ramm \cite{R603}. In this paper, a numerical method is given for solving this problem and the numerical results are presented.

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C. Van. 2017-01-31. Numerical results of solving 3D inverse scattering problem with non-over-determined data. https://arxiv.org/abs/1702.00028

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