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Stability estimates for an inverse scattering problem at high frequencies

2012; Elsevier BV; Volume: 400; Issue: 2 Linguagem: Inglês

10.1016/j.jmaa.2012.10.066

1096-0813

Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira, Isabelle Gallagher,

Advanced Mathematical Modeling in Engineering

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.