Determination of an anisotropic perturbation in elastic inverse scattering

TL;DR

This paper proves that a fully anisotropic elastic perturbation can be uniquely identified from scattered wave data, providing stability estimates and a rigidity result for inverse elastic scattering problems.

Contribution

It introduces a method to uniquely determine anisotropic elastic perturbations from scattered waves and establishes stability and rigidity results.

Findings

Unique determination of anisotropic perturbations from scattered elastic waves.

Quantitative stability estimate for isotropic perturbations.

Rigidity result linking perturbation properties to scattering data.

Abstract

We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous reference can be uniquely determined by (single-)scattered waves. We also give a quantitative stability estimate for an isotropic perturbation, and as a consequence a rigidity result is established.