A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914514328354816 |
|---|---|
| author | Guo, Yukun Liu, Xiaodong |
| author_facet | Guo, Yukun Liu, Xiaodong |
| contents | The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a local uniqueness result. Moreover, we introduce a direct sampling method for quantitatively reconstructing unknown inhomogeneities. Comprehensive numerical experiments validate the robustness, accuracy, and computational effectiveness of the proposed quantitative direct sampling method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25583 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements Guo, Yukun Liu, Xiaodong Numerical Analysis The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a local uniqueness result. Moreover, we introduce a direct sampling method for quantitatively reconstructing unknown inhomogeneities. Comprehensive numerical experiments validate the robustness, accuracy, and computational effectiveness of the proposed quantitative direct sampling method. |
| title | A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2604.25583 |