Inverse problem for the discrete Maxwell equations in a bounded paving

Olivier Poisson

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arXiv · 2511.13316

Inverse problem for the discrete Maxwell equations in a bounded paving

Olivier Poisson

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Abstract

We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving $\Omega$ $\subset$ Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of multiplication containing information about the anisotropy of the medium inside $\Omega$. Letting a complex number $\lambda$ __ = 0 such the Dirichlet-to-Neumann operator $\Lambda$(Da) associated with the system DaH0 u = $\lambda$u on $\Omega$ admits a unique solution, we show that knowing $\Lambda$(Da) is sufficient to determine Da by a reconstruction procedure for Da.

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Olivier Poisson. 2025-11-17. Inverse problem for the discrete Maxwell equations in a bounded paving. https://arxiv.org/abs/2511.13316

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