Uniqueness and numerical resolution via iterated sensitivity equation of an inverse electromagnetic coefficient problem with partial boundary data
Year: 2024
Type: article
Abstract: In this paper we study an inverse boundary value problem for Maxwell's equations. The goal is to reconstruct perturbations in the refractive index of the medium inside an object from the knowledge of the tangential trace of an electric field on a part of the boundary of the domain. We first provide a uniqueness result for this inverse problem. Then, we propose a new approach to reconstruct numerically the perturbations. This complete procedure is based on the minimization of a cost functional involving an iterated sensitivity equation.
Source: Inverse Problems and Imaging
DOI: 10.3934/ipi.2024042
Author: Jérémy Heleine
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4403338201