We study an inverse scattering problem associated with a Schrödinger system where both
the potential and source terms are random and unknown. The well-posedness of the forward …

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 …

We are concerned with the direct and inverse scattering problems associated with a time-
harmonic random Schrödinger equation with unknown source and potential terms. The …

In this paper, a new model is proposed for the inverse random source scattering problem of
the Helmholtz equation with attenuation. The source is assumed to be driven by a fractional …

A new numerical method to solve an inverse source problem for the Helmholtz equation in
inhomogenous media is proposed. This method reduces the original inverse problem to a …

In this paper, we will study the increasing stability in the inverse source problem for the
Helmholtz equation in the plane when the source term is assumed to be compactly …

This research is supported in part by the Emylou Keith and Betty Dutcher Distinguished
Professorship and the NSF grant DMS 15-14886. Shuai Lu is supported by NSFC No …

The solution of a multi-frequency 1d inverse medium problem consists of recovering the
refractive index of a medium from measurements of the scattered waves for multiple …

We consider increasing stability in the inverse Schrödinger potential problem with power
type nonlinearities at a large wavenumber. Two linearization approaches, with respect to …

In this paper, we investigate an inverse source problem for the two-dimensional Helmholtz
equation in a two-layered medium. The interface between two media is assumed to be …