English

Inverse problem for the discrete Maxwell equations in a bounded paving

Analysis of PDEs 2025-11-18 v1

Abstract

We consider the discrete anisotropic Maxwell operator DaH0 on a bounded paving Ω\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 Ω\Omega. Letting a complex number λ\lambda __ = 0 such the Dirichlet-to-Neumann operator Λ\Lambda(Da) associated with the system DaH0 u = λ\lambdau on Ω\Omega admits a unique solution, we show that knowing Λ\Lambda(Da) is sufficient to determine Da by a reconstruction procedure for Da.

Cite

@article{arxiv.2511.13316,
  title  = {Inverse problem for the discrete Maxwell equations in a bounded paving},
  author = {Olivier Poisson},
  journal= {arXiv preprint arXiv:2511.13316},
  year   = {2025}
}
R2 v1 2026-07-01T07:41:03.431Z