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arXiv · 1205.6563

Stability estimates for an inverse scattering problem at high frequencies

Habib Ammari·Hajer Bahouri·David Dos Santos Ferreira·Isabelle Gallagher
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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.

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Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira, Isabelle Gallagher. 2012-05-30. Stability estimates for an inverse scattering problem at high frequencies. https://arxiv.org/abs/1205.6563

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