This book is devoted to the mathematical study of geometrical inverse scattering problems.
In the physical setup, one sends incident wave fields to interrogate an unknown/inaccessible …

This book is devoted to the numerical study of inverse scattering problems arising in
acoustics, electromagnetism and elastodynamics. In the physical setup, one sends incident …

The (interior) transmission eigenvalue problems are a type of non-elliptic, non-selfadjoint
and nonlinear spectral problems that arise in the theory of wave scattering. They connect to …

The present Special Issue on Inverse Problems consists of five invited papers, which
basically refer to the solution of nonlinear inverse wave scattering problems. So far, the …

1. Inverse Spectral Problems Waves propagate carrying characteristic features of
surrounding media, more generally, ambient spaces. By observing the wave motion, one …

In inverse scattering theory, transmission eigenvalues can be seen as the extension of the
notion of resonant frequencies for impenetrable objects to the case of penetrable dielectrics …

We consider the scattering of an acoustic plane wave by an inhomogeneous medium of
compact support. Our aim is to introduce a new class of target signatures that can be used to …

Scattering of acoustic or electromagnetic waves plays an important role in many fields of
applied sciences. Acoustic and electromagnetic waves are used and investigated in such …

The scattering by point-like scatterers is described in the Born, Foldy and the intermediate
regimes. We explain why the Foldy regime is, rigorously, a natural model for taking into …

This paper is concerned with the intrinsic geometric structure of interior transmission
eigenfunctions arising in wave scattering theory. We numerically show that the …