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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.02591 |
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| _version_ | 1866916381692264448 |
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| author | Blåsten, Emilia Ola, Petri Päivärinta, Lassi |
| author_facet | Blåsten, Emilia Ola, Petri Päivärinta, Lassi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02591 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inverse Problems for Screens Blåsten, Emilia Ola, Petri Päivärinta, Lassi Analysis of PDEs 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. |
| title | Inverse Problems for Screens |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.02591 |