Inverse Problems for Screens
Analysis of PDEs
2024-09-05 v1
Abstract
We study the inverse scattering from a screen with using only one incoming time--harmonic plane wave but with measurements of the scattered wave done at all directions. Especially we focus on the 2D--case i.e. (inverse) scattering from an open bounded smooth curve. Besides the inverse scattering problem we also study the inverse electrostatic problem. We then show that one Cauchy--data of any continuous and bounded function vanishing on the screen and harmonic outside it, determines the screen uniquely.
Keywords
Cite
@article{arxiv.2409.02591,
title = {Inverse Problems for Screens},
author = {Emilia Blåsten and Petri Ola and Lassi Päivärinta},
journal= {arXiv preprint arXiv:2409.02591},
year = {2024}
}