Inverse problems for the anisotropic Maxwell equations

CE Kenig, M Salo, G Uhlmann - 2011 - projecteuclid.org
We prove that the electromagnetic material parameters are uniquely determined by
boundary measurements for the time-harmonic Maxwell equations in certain anisotropic …

Inverse boundary value problem for Maxwell equations with local data

P Caro, P Ola, M Salo - Communications in Partial Differential …, 2009 - Taylor & Francis
We prove a uniqueness theorem for an inverse boundary value problem for the Maxwell
system with boundary data assumed known only in part of the boundary. We assume that …

Direct and inverse electromagnetic scattering problems for bi-anisotropic media

DL Nguyen - Inverse problems, 2019 - iopscience.iop.org
This paper is concerned with the direct and inverse scattering of time-harmonic
electromagnetic waves from bi-anisotropic media. For the direct problem, we establish an …

Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifolds

G Liu - arXiv preprint arXiv:1908.05096, 2019 - arxiv.org
In this paper, the elastic Dirichlet-to-Neumann map $\Xi_g $ is studied for the stationary
elasticity system in a compact Riemannian manifold $(\Omega, g) $ with smooth boundary …

Global uniqueness for an IBVP for the time-harmonic Maxwell equations

P Caro, T Zhou - Analysis & PDE, 2014 - msp.org
In this paper we prove uniqueness for an inverse boundary value problem (IBVP) arising in
electrodynamics. We assume that the electromagnetic properties of the medium, namely the …

Chirality in the Maxwell equations by the dipole approximation

H Ammari, JC Nédélec, K Hamdache - SIAM Journal on Applied Mathematics, 1999 - SIAM
In this paper, we show how chiral materials are realized by embedding chiral objects
(helices) in an isotropic medium. More precisely, we derive the Drude--Born--Fedorov …

Total determination of material parameters from electromagnetic boundary information

MS Joshi, SR McDowall - Pacific Journal of Mathematics, 2000 - msp.org
In this paper we complete the proof that the material parameters can be obtained for a chiral
electromagnetic body from the boundary admittance map. We prove that from the admittance …

An electromagnetic inverse problem in chiral media

S McDowall - Transactions of the American Mathematical Society, 2000 - ams.org
We consider the inverse boundary value problem for Maxwell's equations that takes into
account the chirality of a body in ${\mathbb R}^ 3$. More precisely, we show that knowledge …

[HTML][HTML] Uniqueness for an inverse problem in electromagnetism with partial data

BM Brown, M Marletta, JM Reyes - Journal of Differential Equations, 2016 - Elsevier
A uniqueness result for the recovery of the electric and magnetic coefficients in the time-
harmonic Maxwell equations from local boundary measurements is proven. No special …

Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map

MV De Hoop, G Nakamura, J Zhai - SIAM Journal on Applied Mathematics, 2019 - SIAM
We study the recovery of piecewise analytic density and stiffness tensor of a three-
dimensional domain from the local dynamical Dirichlet-to-Neumann map. We give global …