Effective medium theory for embedded obstacles in electromagnetic scattering with applications
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911986340593664 |
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| author | Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li |
| author_facet | Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li |
| contents | This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded obstacles and the EM waves cannot penetrate inside the obstacles. Such a situation naturally arises in studying inverse EM scattering problems from complex mediums with partial boundary measurements, or inverse problems from EM mediums with metal inclusions. We develop a novel theoretical framework by showing that the embedded obstacles can be effectively approximated by a certain isotropic medium with a specific choice of material parameters. We derive sharp estimates to verify this effective approximation and also discuss the practical implications of our results to the inverse problems mentioned above, which are longstanding topics in inverse scattering theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective medium theory for embedded obstacles in electromagnetic scattering with applications Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li Analysis of PDEs 35B34, 74E99, 78A46 This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded obstacles and the EM waves cannot penetrate inside the obstacles. Such a situation naturally arises in studying inverse EM scattering problems from complex mediums with partial boundary measurements, or inverse problems from EM mediums with metal inclusions. We develop a novel theoretical framework by showing that the embedded obstacles can be effectively approximated by a certain isotropic medium with a specific choice of material parameters. We derive sharp estimates to verify this effective approximation and also discuss the practical implications of our results to the inverse problems mentioned above, which are longstanding topics in inverse scattering theory. |
| title | Effective medium theory for embedded obstacles in electromagnetic scattering with applications |
| topic | Analysis of PDEs 35B34, 74E99, 78A46 |
| url | https://arxiv.org/abs/2408.06564 |