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

TL;DR

This paper introduces a new linear sampling method for efficiently reconstructing local rough interface perturbations and buried obstacles in inverse scattering problems, demonstrated through numerical examples.

Contribution

A novel sampling method that simultaneously images local interface perturbations and buried obstacles using a modified near-field equation.

Findings

Effective reconstruction of rough interfaces and buried obstacles.

Fast imaging algorithm demonstrated with numerical examples.

Improved accuracy over existing methods.

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.