An iterative approach to monochromatic phaseless inverse scattering

AD Agaltsov, T Hohage, RG Novikov - Inverse Problems, 2018 - iopscience.iop.org
This paper is concerned with the inverse problem to recover a compactly supported
Schrödinger potential given the differential scattering cross section, ie the modulus, but not …

Approximate Lipschitz stability for phaseless inverse scattering with background information

VN Sivkin - Journal of Inverse and Ill-posed Problems, 2023 - degruyter.com
We prove approximate Lipschitz stability for monochromatic phaseless inverse scattering
with background information in dimension d≥ 2. Moreover, these stability estimates are …

Phase retrieval and phaseless inverse scattering with background information

T Hohage, RG Novikov, VN Sivkin - Inverse Problems, 2024 - singtest.iopscience.iop.org
We consider the problem of finding a compactly supported potential in the multidimensional
Schrödinger equation from its differential scattering cross section (squared modulus of the …

The Born approximation in the three-dimensional Calder\'on problem II: Numerical reconstruction in the radial case

JA Barceló, C Castro, F Macià, CJ Meroño - arXiv preprint arXiv …, 2022 - arxiv.org
In this work we illustrate a number of properties of the Born approximation in the three-
dimensional Calder\'on inverse conductivity problem by numerical experiments. The results …

New computational methods for inverse wave scattering with a new filtering technique: Inverse wave scattering

M Tadi, M Radenkovic - Optimization and Engineering, 2021 - Springer
This note is concerned with inverse wave scattering in one and two dimensional domains. It
seeks to recover an unknown function based on measurements collected at the boundary of …

A new convergent algorithm to approximate potentials from fixed angle scattering data

JA Barceló, C Castro, T Luque, MC Vilela - SIAM Journal on Applied …, 2018 - SIAM
We introduce a new iterative method to recover a real compact supported potential of the
Schödinger operator from their fixed angle scattering data. The method combines a fixed …

Error estimates for phaseless inverse scattering in the Born approximation at high energies

AD Agaltsov, RG Novikov - The Journal of Geometric Analysis, 2020 - Springer
Error Estimates for Phaseless Inverse Scattering in the Born Approximation at High Energies
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Inverse scattering based on proper solution space

A Hamad, M Tadi - Journal of Theoretical and Computational …, 2019 - World Scientific
This paper is concerned with an inverse scattering problem in frequency domain, when the
scattered field is governed by the Helmholtz equation. The algorithm is iterative in nature. It …

Live load matrix recovery from scattering data in linear elasticity

JA Barceló, C Castro, MC Vilela - Advances in Computational …, 2023 - Springer
We study the numerical approximation of the inverse scattering problem in the two-
dimensional homogeneous isotropic linear elasticity with an unknown linear load given by a …

Numerical approximation of the scattering amplitude in elasticity

JA Barceló, C Castro - SeMA Journal, 2022 - Springer
We propose a numerical method to approximate the scattering amplitudes for the elasticity
system with a non-constant matrix potential in dimensions d= 2 d= 2 and 3. This requires to …