This paper is concerned with computational approaches and mathematical analysis for
solving inverse scattering problems in the frequency domain. The problems arise in a …

This book has grown out of lecture notes for a course on mathematical methods in
biomedical imaging at Ecole Polytechnique. Biomedical imaging is a fascinating research …

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 …

This paper is concerned with an inverse source problem that determines the source from
measurements of the radiated fields away at multiple frequencies. Rigorous stability …

We study increasing stability in the interior inverse source problem for the Helmholtz
equation from boundary Cauchy data for multiple wave numbers. By using the Fourier …

This paper concerns the inverse source problems for the time-harmonic elastic and
electromagnetic wave equations. The goal is to determine the external force and the electric …

An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field
with multifrequency measurement data. Under additional regularity assumptions on source …

The inverse source problem for Maxwell's equations is considered. We show that the
problem of finding a volume current density from surface measurements does not have a …

We study the interior inverse source problem for the Helmholtz equation from boundary
Cauchy data of multiple wave numbers. The main goal of this paper is to understand the …

We consider an inverse source problem of determining a source term in the Helmholtz
equation from multi-frequency far-field measurements. Based on the Fourier series …