Stability estimates for an inverse scattering problem at high frequencies

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:400

Article

Ammari, Habib¹  Bahouri, Hajer²  Ferreira, David Dos Santos³  Gallagher, Isabelle⁴ 

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[2] Univ Paris Est Creteil, Umr Lama 8050, F-94010 Creteil, France

[3] Univ Paris 13, CNRS, Umr Laga 7539, F-93430 Villetaneuse, France

[4] Univ Paris 07, Inst Math, Umr 7586, F-75013 Paris, France

关键词: Inverse scattering problem;    Lipschitz stability;    Resolution;   

DOI  :  10.1016/j.jmaa.2012.10.066

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free