An inverse problem for Maxwell's equations with Lipschitz parameters

Abstract

We consider an inverse boundary value problem for Maxwell's equations, which aims to recover the electromagnetic material properties of a body from measurements on the boundary. We show that a Lipschitz continuous conductivity, electric permittivity, and magnetic permeability are uniquely determined by knowledge of all tangential electric and magnetic fields on the boundary of the body at a fixed frequency.

arXiv comment18 pages

References in corpus (5)

• Uniqueness in Calderon's problem with Lipschitz conductivities
• Inverse problems for the anisotropic Maxwell equations
• Global uniqueness for the Calderón problem with Lipschitz conductivities
• Stable Determination of the Electromagnetic Coefficients by Boundary Measurements
• On global uniqueness for an IBVP for the time-harmonic Maxwell equations

Cited by in corpus (1)

• Determining Lamé coefficients by elastic Dirichlet-to-Neumann map on a Riemannian manifold