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 Z3 , where H0 denotes discrete isotropic Maxwell operator and Da a diagonal operator of multiplication containing information about the anisotropy of the medium inside . Letting a complex number __ = 0 such the Dirichlet-to-Neumann operator (Da) associated with the system DaH0 u = u on admits a unique solution, we show that knowing (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}
}