Stability estimates for an inverse scattering problem at high frequencies

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Abstract

We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator in the monotone case.

Keywords

Inverse scattering problem
Lipschitz stability
Resolution

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This work was supported by the ERC Advanced Grant Project MULTIMOD—267184.