The goal of the review is to provide a state-of-the-art survey on sampling and probe methods
for the solution of inverse problems. Further, a configuration approach to some of the …

We survey the linear sampling method for solving the inverse scattering problem for time-
harmonic electromagnetic waves at fixed frequency. We consider scattering by an obstacle …

The aim of this paper is to introduce inversion‐based engineering applications and to
investigate some of the important ones from mathematical point of view. To do this we …

With the continued advance of computing power and accessibility, the view that" real
mathematicians don't compute" no longer has any traction for a newer generation of …

The goal of this paper is to study and further develop the orthogonality sampling or
stationary waves algorithm for the detection of the location and shape of objects from the far …

For more than a century the possibility of imaging the structure of a medium with diffracting
wave fields has been limited by the tradeoff between resolution and imaging depth. While …

We discuss inverse problems for the Helmholtz equation at fixed energy, specifically the
inverse source problem and the inverse scattering problem from a medium or an obstacle …

We describe a new scheme for determining the convex scattering support of an unknown
scatterer when the physical properties of the scatterers are not known. The convex scattering …

Abstract Ground Penetrating Radar (GPR) is a non-destructive imaging system able to
provide high-resolution images of the subsurface. From a theoretical point of view, it requires …

In this paper, the problem of uniqueness concerning the inverse scattering problem in two-
dimensional acoustics for one incident plane wave and one wavenumber is considered …