# Unique determination of electromagnetic parameters from partial boundary measurements

## TL;DR

This paper proves uniqueness in reconstructing electromagnetic parameters inside a domain using boundary measurements limited to an accessible part, and also identifies small perturbations in the refractive index.

## Contribution

It establishes the uniqueness of the inverse boundary value problem for Maxwell's equations with partial boundary data and demonstrates the ability to detect small perturbations in the refractive index.

## Key findings

- Uniqueness of the complex refractive index reconstruction from partial boundary data.
- Ability to identify small volume perturbations of the refractive index.
- Use of Dirichlet to Neumann and impedance maps for parameter recovery.

## 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 $\Gamma$ 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 $\emph{\textbf{n}}$ in the interior of a bounded domain Further, using the impedance map restricted to $\Gamma$, we may identify locations of small volume fraction perturbations of the refractive index.