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arXiv · 2409.02591

Inverse Problems for Screens

Emilia Blåsten·Petri Ola·Lassi Päivärinta
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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.

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Emilia Blåsten, Petri Ola, Lassi Päivärinta. 2024-09-04. Inverse Problems for Screens. https://arxiv.org/abs/2409.02591

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