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 …

An eigenvalue-free region is determined for the far field operator corresponding to the
scattering of time harmonic acoustic or electromagnetic waves by an inhomogeneous …

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 the exterior transmission eigenvalue problem for spherically stratified media in
R3 and consider the case of axially symmetric eigenfunctions. The exterior transmission …

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 …

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 …

A comparison is made of two methods for solving the inverse scattering problem for acoustic
waves in an inhomogeneous absorbing medium. These methods were recently introduced …

This paper discusses a new set of differential methods for solving the inverse scattering
problem associated to the propagation of waves in an inhomogeneous medium. By writing …

We continue our investigation of complex eigenvalues of the interior transmission problem
for spherically stratified media (Leung and Colton 2012 Inverse Problems 28 075005). In this …

This paper is concerned with the class of far field patterns corresponding to the scattering of
time harmonic acoustic plane waves by an inhomogeneous medium in a bounded domain …