Inverse Elastic Scattering for a Random Source

Inverse scattering for elastic plane cracks

It is known that hard planar acoustic screens generate null far-eld amplitude on the directions deened by the plane that encloses them. We proved in an earlier paper that this property actually characterizes plane screens among scatterers of any shape, and we generalized it to other boundary conditions. Furthermore it was proved that a single incident wave is suucient to distinguish screens tha...

Inverse obstacle scattering for elastic waves

Source Type of Optimization for Inverse Scattering

This paper reviews the contrast source inversion method as a robust algorithm to solve the nonlinear inverse scattering problem, where the discrepancy between the measured and predicted scattered field data is minimized. The algorithm is based on a source type of integral representation of the scattered field, where the integral operator acts on a contrast source, being the product of the inter...

Topological Derivative for the Inverse Scattering of Elastic Waves

To establish an alternative analytical framework for the elastic-wave imaging of underground cavities, the focus of this study is an extension of the concept of topological derivative, rooted in elastostatics and shape optimization, to three-dimensional elastodynamics involving semiinfinite and infinite solids. The main result of the proposed boundary integral approach is a formula for topologi...

Direct and Inverse Elastic Scattering Problems for Diffraction Gratings

This paper is concerned with the direct and inverse scattering of time-harmonic plane elastic waves by unbounded periodic structures (diffraction gratings). We present a variational approach to the forward scattering problems with Lipschitz grating profiles and give a survey of recent uniqueness and existence results. Concerning the inverse problem, global uniqueness results within the class of...