Recovery of inhomogeneities and buried obstacles

TL;DR

This paper demonstrates that both inhomogeneities and buried obstacles with planar contact can be uniquely identified using scattering measurements at a fixed energy, advancing inverse scattering theory.

Contribution

It introduces a novel method for simultaneously recovering inhomogeneities and buried obstacles with planar contact from fixed-energy scattering data.

Findings

Unique determination of inhomogeneities and obstacles achieved

Recovery method applicable with fixed-energy scattering measurements

Assumption of planar contact is crucial for the results

Abstract

In this paper we consider the unique determination of inhomogeneities together with possible buried obstacles by scattering measurements. Under the assumption that the buried obstacles have only planar contacts with the inhomogeneities, we prove that one can recover both of them by knowing the associated scattering amplitude at a fixed energy.