Unique determination of electromagnetic parameters from partial boundary measurements

2017/02/08 by Christian Daveau, Daveau, Christian, Abdessatar Khelifi +3
Engineering · Mathematics · #35Q61 #35R30 #78M35 #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1702.02636

openalex publication_date 2017/02/08 · openalex created_date 2020/07/16 · openalex updated_date 2026/07/28

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

Citations

• A Global Uniqueness Theorem for an Inverse Boundary Value Problem

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