English

Unique determination of electromagnetic parameters from partial boundary measurements

Mathematical Physics 2020-07-14 v2 math.MP

Abstract

We consider an inverse boundary value problem for the Maxwell's equations with a given data assumed to be known only in accessible part Γ\Gamma of the boundary. We aim to prove an uniqueness result using the Dirichlet to Neumann map with measurements limited to an open part of the boundary and we seek to reconstruct the complex refractive index n\emph{\textbf{n}} in the interior of a bounded domain Further, using the impedance map restricted to Γ\Gamma, we may identify locations of small volume fraction perturbations of the refractive index.

Keywords

Cite

@article{arxiv.1702.02636,
  title  = {Unique determination of electromagnetic parameters from partial boundary measurements},
  author = {Christian Daveau and Abdessatar Khelifi and Houssem Lihiou},
  journal= {arXiv preprint arXiv:1702.02636},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-22T18:13:20.082Z