English

Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method

Analysis of PDEs 2020-09-02 v1

Abstract

Consider the problem of inverse scattering of time-harmonic point sources from an infinite, penetrable rough interface with bounded obstacles buried in the lower half-space, where the interface is assumed to be a local perturbation of a planar surface. A novel version of the sampling method is proposed to simultaneously reconstruct the local perturbation of the rough interface and buried obstacles by constructing a modified near-field equation associated with a special rough surface, yielding a fast imaging algorithm. Numerical examples are presented to illustrate the effectiveness of the inversion algorithm.

Keywords

Cite

@article{arxiv.2009.00379,
  title  = {Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method},
  author = {Jianliang Li and Jiaqing Yang and Bo Zhang},
  journal= {arXiv preprint arXiv:2009.00379},
  year   = {2020}
}

Comments

23 pages, 25 figures