Recovering multiscale buried anomalies in a two-layered medium

Jingzhi Li, Peijun Li, Hongyu Liu*, Xiaodong Liu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

34 Citations (Scopus)


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.

Original languageEnglish
Article number105006
Number of pages28
JournalInverse Problems
Issue number10
Publication statusPublished - 15 Sept 2015

Scopus Subject Areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

User-Defined Keywords

  • buried anomalies
  • inverse scattering
  • multiscale
  • recovery scheme
  • single measurement


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