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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.13316 |
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| _version_ | 1866914161217241088 |
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| author | Poisson, Olivier |
| author_facet | Poisson, Olivier |
| contents | We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving $Ω$ $\subset$ Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of multiplication containing information about the anisotropy of the medium inside $Ω$. Letting a complex number $λ$ __ = 0 such the Dirichlet-to-Neumann operator $Λ$(Da) associated with the system DaH0 u = $λ$u on $Ω$ admits a unique solution, we show that knowing $Λ$(Da) is sufficient to determine Da by a reconstruction procedure for Da. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse problem for the discrete Maxwell equations in a bounded paving Poisson, Olivier Analysis of PDEs We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving $Ω$ $\subset$ Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of multiplication containing information about the anisotropy of the medium inside $Ω$. Letting a complex number $λ$ __ = 0 such the Dirichlet-to-Neumann operator $Λ$(Da) associated with the system DaH0 u = $λ$u on $Ω$ admits a unique solution, we show that knowing $Λ$(Da) is sufficient to determine Da by a reconstruction procedure for Da. |
| title | Inverse problem for the discrete Maxwell equations in a bounded paving |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.13316 |