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

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 …

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 …

Consider the scattering of the two-or three-dimensional Helmholtz equation where the
source of the electric current density is assumed to be compactly supported in a ball. This …

Similar to the obstacle or medium scattering problems, an important property of the
phaseless far field patterns for source scattering problems is the translation invariance. Thus …

In this paper, we show for the first time the stability of the inverse source problem for the
three-dimensional Helmholtz equation in an inhomogeneous background medium. The …

This paper is concerned with the inverse source problem of reconstructing an unknown
acoustic excitation from phaseless measurements of the radiated fields away at multiple …

We consider the acoustic source imaging problems in using multiple frequency data at
sparse directions/points. Using at most n observation directions/points, we show that the size …