Determining a random Schrödinger operator: both potential and source are random

J Li, H Liu, S Ma - Communications in Mathematical Physics, 2021 - Springer
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 …

Determining a random Schrodinger equation with unknown source and potential

J Li, H Liu, S Ma - SIAM Journal on Mathematical Analysis, 2019 - SIAM
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 …

Increasing stability in acoustic and elastic inverse source problems

M Entekhabi, V Isakov - SIAM Journal on Mathematical Analysis, 2020 - SIAM
We study increasing stability in the inverse scattering source problem for the Helmholtz
equation and the classical Lamé system in the three dimensional space from boundary data …

Increasing resolution and instability for linear inverse scattering problems

PZ Kow, M Salo, S Zou - arxiv preprint arxiv:2404.18482, 2024 - arxiv.org
In this work we study the increasing resolution of linear inverse scattering problems at a
large fixed frequency. We consider the problem of recovering the density of a Herglotz wave …

Uniqueness of an inverse source problem in experimental aeroacoustics

T Hohage, HG Raumer, C Spehr - Inverse Problems, 2020 - iopscience.iop.org
This paper is concerned with the mathematical analysis of experimental methods for the
estimation of the power of an uncorrelated, extended aeroacoustic source from …

Uniqueness and increasing stability in electromagnetic inverse source problems

V Isakov, JN Wang - Journal of Differential Equations, 2021 - Elsevier
In this paper we study the uniqueness and the increasing stability in the inverse source
problem for electromagnetic waves in homogeneous and inhomogeneous media from …

Uncertainty principles for inverse source problems for electromagnetic and elastic waves

R Griesmaier, J Sylvester - Inverse Problems, 2018 - iopscience.iop.org
In isotropic homogeneous media, far fields of time-harmonic electromagnetic waves radiated
by compactly supported volume currents, and elastic waves radiated by compactly …

Inverse Source Problems for Maxwell's Equations and the Windowed Fourier Transform

R Griesmaier, RK Mishra, C Schmiedecke - SIAM Journal on Scientific …, 2018 - SIAM
The inverse source problem for time-harmonic Maxwell's equations in three-dimensional
free space is considered. Given far field observations of a wave radiated by a compactly …

Far field operator splitting and completion in inverse medium scattering

R Griesmaier, L Schätzle - Inverse Problems, 2024 - iopscience.iop.org
We study scattering of time-harmonic plane waves by compactly supported inhomogeneous
objects in a homogeneous background medium. The far field operator associated to a fixed …

Analysis of an inverse source problem with correlation data in experimental aeroacoustics

HG Raumer - 2021 - elib.dlr.de
In aeroacoustic testing one seeks to localize and reconstruct the power of an aeroacoustic
source, given correlation estimates of pressure fluctuations in the frequency domain. This …