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

The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …

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 …

In this paper we use the full Maxwell equations for light propagation in order to analyze
plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic …

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 …

Nonlinearity parameter tomography leads to the problem of identifying a coefficient in a
nonlinear wave equation (such as the Westervelt equation) modeling ultrasound …

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 …

Assume that a time-harmonic elastic wave is incident onto a penetrable anisotropic elastic
body embedded in a homogeneous isotropic background medium. The scattering problem …