Li, Jingzhi; Li, Peijun; Liu, Hongyu; Liu, Xiaodong Recovering multiscale buried anomalies in a two-layered medium. (English) Zbl 1330.78012 Inverse Probl. 31, No. 10, Article ID 105006, 28 p. (2015). Summary: We develop an inverse scattering scheme of recovering impenetrable anomalies buried in a two-layered medium. The recovery scheme works in a rather general setting and possesses several salient features. It makes use of a single far-field measurement in the half-space above the anomalies, and works independently of the physical properties of the anomalies. There might be anomalous components of multiscale sizes presented simultaneously. Moreover, the proposed scheme is of a totally direct nature without any inversion involved, and hence it is very fast and robust against measurement noise. Both theoretical foundation and numerical experiments are presented. This extends related results in the literature on recovering multiscale scatterers located in a homogeneous space. Cited in 31 Documents MSC: 78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory 35R30 Inverse problems for PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35P25 Scattering theory for PDEs 35Q60 PDEs in connection with optics and electromagnetic theory 78M25 Numerical methods in optics (MSC2010) Keywords:inverse scattering; buried anomalies; recovery scheme; single measurement; multiscale PDFBibTeX XMLCite \textit{J. Li} et al., Inverse Probl. 31, No. 10, Article ID 105006, 28 p. (2015; Zbl 1330.78012) Full Text: DOI Link