Stability estimates for an inverse scattering problem at high frequencies

2012/05/30 by Habib Ammari, Ammari, Habib, Bahouri, Hajer +4
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1205.6563

openalex publication_date 2012/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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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