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 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 in the interior of a bounded domain Further, using the impedance map restricted to , we may identify locations of small volume fraction perturbations of the refractive index.
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