The factorization method is a relatively new method for solving certain types of inverse
scattering problems and problems in tomography. Aimed at students and researchers in …

Inverse scattering theory has been a particularly active and successful field in applied
mathematics and engineering for the past twenty years. The increasing demands of imaging …

The field of inverse scattering theory has been a particularly active field in applied
mathematics for the past 25 years. The aim of research in this field has been to not only …

This paper presents an application of the linear sampling method to ultrasonic non
destructive testing of an elastic waveguide. In particular, the NDT context implies that both …

We consider the identification of cracks in an elastic 2D or 3D waveguide with the help of a
modal version of the linear sampling method. The main objective of our paper is to show that …

We introduce the sparse direct sampling method (DSM) to estimate properties of a region
from signals that probe the region. We demonstrate the sparse-DSM on two separate …

In this paper, the far-field operator for scattering from a penetrable elastic body or an
absorbing obstacle in two-dimensional linear elasticity is considered. The longitudinal and …

In this work, we are concerned with the inverse scattering by obstacles for the linearized,
homogeneous and isotropic elastic model. We study the uniqueness issue of detecting …

In this paper, we are concerned with the detection of point-like obstacles using elastic
waves. We show that one type of waves, either the P or the S scattered waves, is enough for …

In this paper, we consider some geometric inverse problems for the Lamé system. A first
motivation comes from from elastography, a technique that allows to identify the elastic …