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 …

In this paper we develop a general mathematical framework to determine interior
eigenvalues from a knowledge of the modified far field operator associated with an unknown …

The inverse electromagnetic scattering problem for anisotropic media in general does not
have a unique solution. A possible approach to this problem is through the use of …

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 …

In recent years, a new approach has been proposed in the study of the inverse scattering
problem for electromagnetic waves. In particular, a study is made of the analytic properties of …

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 paper introduces a new approach to characterize the shape ω of a scattering medium
(either an acoustically soft obstacle or an inhomogeneous medium) by the far field data. In …

A recent problem of interest in inverse problems has been the study of eigenvalue problems
arising from scattering theory and their potential use as target signatures in nondestructive …

A well known inverse problem for acoustic media consists in the determination of the sound
speed of the medium using far field data. A precise formulation is as follows. Consider the …

We consider a problem in nondestructive testing in which small changes in the (possibly
complex valued) refractive index n(x) of an inhomogeneous medium of compact support are …