H. Ammari, E. Iakovleva, D. Lesselier, and G. Perrusson, MUSIC???Type Electromagnetic Imaging of a Collection of Small Three???Dimensional Inclusions, SIAM Journal on Scientific Computing, vol.29, issue.2, pp.674-709, 2007.
DOI : 10.1137/050640655

H. Ammari and H. Kang, Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Mathematics, vol.1846, 2004.
DOI : 10.1007/b98245

H. Ammari, M. S. Vogelius, and D. Volkov, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.8, pp.769-814, 2001.
DOI : 10.1016/S0021-7824(01)01217-X

M. Asch and S. Mefire, Numerical localizations of 3D imperfections from an asymptotic formula for perturbations in the electric fields, Journal of Computational Mathematics, vol.26, issue.2, pp.149-195, 2008.

G. Bao and P. Li, Numerical solution of an inverse medium scattering problem for Maxwell???s Equations at fixed frequency, Journal of Computational Physics, vol.228, issue.12, pp.4638-4648, 2009.
DOI : 10.1016/j.jcp.2009.03.031

C. Bardos, G. Lebeau, and J. Rauch, Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary, SIAM Journal on Control and Optimization, vol.30, issue.5, pp.1024-1065, 1992.
DOI : 10.1137/0330055

L. Beilina, Adaptive finite element method for a coefficient inverse problem for Maxwell's system, Applicable Analysis, vol.324, issue.10, pp.1461-1479, 2011.
DOI : 10.1090/S0025-5718-1980-0572855-7

L. Beilina and S. Hosseinzadegan, An adaptive finite element method in reconstruction of coefficients in Maxwell???s equations from limited observations, Applications of Mathematics, vol.61, issue.3, pp.253-286, 2016.
DOI : 10.1007/s10492-016-0131-0

M. De-buhan and A. Osses, Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example, Inverse Problems, vol.26, issue.9, pp.95006-95043, 2010.
DOI : 10.1088/0266-5611/26/9/095006

URL : https://hal.archives-ouvertes.fr/hal-01116979

M. De-buhan and M. Kray, A new approach to solve the inverse scattering problem for waves: combining the TRAC and the adaptive inversion methods, Inverse Problems, vol.29, issue.8, p.85009, 2013.
DOI : 10.1088/0266-5611/29/8/085009

URL : https://hal.archives-ouvertes.fr/hal-00799110

A. P. Calderón, On an inverse boundary value problem, Seminar on Numerical Analysis and its Applications to Continuum Physics, 1980.

P. Caro, P. Ola, and M. Salo, Inverse Boundary Value Problem for Maxwell Equations with Local Data, Communications in Partial Differential Equations, vol.125, issue.11, pp.1425-1464, 2009.
DOI : 10.1080/03605300903296272

D. Colton, J. Coyle, and P. Monk, Recent Developments in Inverse Acoustic Scattering Theory, SIAM Review, vol.42, issue.3, pp.369-414, 2000.
DOI : 10.1137/S0036144500367337

D. L. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 1998.

M. Darbas and S. , Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material, Journal of Computational Mathematics, vol.32, issue.1, pp.21-38, 2014.
DOI : 10.4208/jcm.1309-m4378

P. J. Frey, P. L. George, and M. Generation, Application to finite elements, 2008.

C. Gabriel, S. Gabriel, and E. Corthout, The dielectric properties of biological tissues: I. Literature survey, Physics in Medicine and Biology, vol.41, issue.11, pp.41-2231, 1996.
DOI : 10.1088/0031-9155/41/11/001

M. Grote and U. Nahum, Adaptive Eigenspace Inversion for the Helmholtz Equation, Proc. of the 12th International Conf. on Math. and Numerical Aspects of Wave Propagation, KIT, pp.178-179, 2015.

M. Grote, M. Kray, and U. Nahum, Adaptive Eigenspace Inversion for the Helmholtz Equation, preprint, 2016.

H. Haddar and P. Monk, The linear sampling method for solving the electromagnetic inverse medium problem, Inverse Problems, vol.18, issue.3, pp.891-906, 2002.
DOI : 10.1088/0266-5611/18/3/323

URL : https://hal.archives-ouvertes.fr/hal-00744180

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-265, 2012.
DOI : 10.1515/jnum-2012-0013

T. Hohage, Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem, Journal of Computational Physics, vol.214, issue.1, pp.224-238, 2006.
DOI : 10.1016/j.jcp.2005.09.025

C. E. Kenig, M. Salo, and G. Uhlmann, Inverse problems for the anisotropic Maxwell equations, Duke Math, J, vol.157, pp.369-419, 2011.

R. B. Lehoucq, D. C. Sorensen, C. Yang, and A. Users, Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, SIAM

P. Ola, L. Päivärinta, and E. Somersalo, An inverse boundary value problem in electrodynamics, Duke Math, J, vol.70, pp.617-653, 1993.

P. Monk, Finite Element Methods for Maxwell's Equations, 2003.
DOI : 10.1093/acprof:oso/9780198508885.001.0001

A. Mordecai, Nonlinear Programming : Analysis and Methods, 2003.

J. Nédélec, Mixed finite elements in ?3, Numerische Mathematik, vol.12, issue.3, pp.315-341, 1980.
DOI : 10.1007/BF01396415

V. G. Romanov and S. I. Kabanikhin, Inverse problems for Maxwell's equations, Inverse and Ill- Posed Problems Series 2, 1994.