Inverse scattering with fixed observation angle data in 2D

G Fotopoulos, M Harju - Inverse Problems in Science and …, 2017 - Taylor & Francis
We study the inverse scattering problem with fixed observation angle data for a non-linear
Schrödinger equation in 2D. We show that the main singularities of an unknown potential …

Numerical results for Saito's uniqueness theorem in inverse scattering theory

T Tyni - Inverse Problems, 2020 - iopscience.iop.org
We consider an inverse scattering problem for the Schrödinger operator in two dimensions.
The aim of this work is to discuss some first numerical results on Saito's formula. Saito's …

Inverse medium problem for a singular contrast

V Serov, T Tyni - Journal of Mathematical Physics, 2019 - pubs.aip.org
We consider an inverse medium problem in two-and three-dimensional cases. Namely, we
investigate the problem of reconstruction of unknown compactly supported refractive index …