G. Allaire, Shape Optimization by the Homogenization Method, Appl. Math. Sci, vol.146, 2002.

G. Allaire, A brief introduction to homogenization and miscellaneous applications, Mathematical and Numerical Approaches for Multiscale Problem, ESAIM Proc., EDP Sci., Les Ulis, pp.1-49, 2012.
DOI : 10.1051/proc/201237001

H. Ammari, G. Ciraolo, H. Kang, H. Lee, K. Y. Avila et al., Spectral Analysis of the Neumann???Poincar?? Operator and Characterization of the Stress Concentration in Anti-Plane Elasticity, Archive for Rational Mechanics and Analysis, vol.350, issue.4, pp.275-304, 2008.
DOI : 10.1007/s00205-012-0590-8

A. Bonnet-ben-dhia, L. Chesnel, and P. J. Ciarlet, -coercivity for scalar interface problems between dielectrics and metamaterials, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.6, pp.1363-1387, 2012.
DOI : 10.1051/m2an/2012006

URL : https://hal.archives-ouvertes.fr/hal-00717640

A. Bonnet-ben-dhia, L. Chesnel, and P. J. Ciarlet, -Coercivity for the Maxwell Problem with Sign-Changing Coefficients, Communications in Partial Differential Equations, vol.234, issue.6, pp.1007-1031, 2014.
DOI : 10.1017/CBO9781139171755

URL : https://hal.archives-ouvertes.fr/hal-00717640

A. Bonnet-ben-dhia, P. J. Ciarlet, and C. M. Zwölf, Time harmonic wave diffraction problems in materials with sign-shifting coefficients, Journal of Computational and Applied Mathematics, vol.234, issue.6, 2008.
DOI : 10.1016/j.cam.2009.08.041

URL : https://hal.archives-ouvertes.fr/hal-00975073

A. Bonnet-bendhia, L. Chesnel, and H. Haddar, On the use of T-coercivity to study the interior transmission eigenvalue problem, Comptes Rendus Mathematique, vol.349, issue.11-12, pp.647-651, 2011.
DOI : 10.1016/j.crma.2011.05.008

G. Bouchitté and C. Bourel, Homogenization of finite metallic fibers and 3D-effective permittivity tensor, Metamaterials: Fundamentals and Applications, 2009.
DOI : 10.1117/12.794935

G. Bouchitté and C. Bourel, Abstract, Communications in Computational Physics, vol.702914, issue.02, pp.489-507, 2012.
DOI : 10.1103/PhysRevLett.76.4773

G. Bouchitté and D. Felbacq, Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction, SIAM Journal on Applied Mathematics, vol.66, issue.6, pp.2061-2084, 2006.
DOI : 10.1137/050633147

G. Bouchitté and B. Schweizer, Cloaking of Small Objects by Anomalous Localized Resonance, The Quarterly Journal of Mechanics and Applied Mathematics, vol.63, issue.4, pp.437-463, 2010.
DOI : 10.1093/qjmam/hbq008

F. Cakoni, D. Colton, and H. Haddar, The linear sampling method for anisotropic media, Journal of Computational and Applied Mathematics, vol.146, issue.2, pp.285-299, 2002.
DOI : 10.1016/S0377-0427(02)00361-8

URL : https://hal.archives-ouvertes.fr/hal-00744175

L. Chesnel and P. J. Ciarlet, T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients, Numerische Mathematik, vol.54, issue.190, pp.1-29, 2013.
DOI : 10.1007/s00211-012-0510-8

URL : https://hal.archives-ouvertes.fr/hal-00688862

E. T. Chung and P. J. Ciarlet, A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials, Journal of Computational and Applied Mathematics, vol.239, pp.189-207, 2013.
DOI : 10.1016/j.cam.2012.09.033

URL : https://hal.archives-ouvertes.fr/hal-00697755

D. Cioranescu, A. Damlamian, and G. Griso, The Periodic Unfolding Method in Homogenization, SIAM Journal on Mathematical Analysis, vol.40, issue.4, pp.1585-1620, 2008.
DOI : 10.1137/080713148

URL : https://hal.archives-ouvertes.fr/hal-00693080

D. Cioranescu and P. Donato, An Introduction to Homogenization, Oxford Lecture Series in Mathematics and its Applications, 1999.

D. Cioranescu and J. Saint-jean-paulin, Homogenization of Reticulated Structures, Applied Mechanics Reviews, vol.54, issue.4, 1999.
DOI : 10.1115/1.1383678

D. Felbacq and G. Bouchitté, Homogenization of a set of parallel fibres, Waves in Random Media, pp.245-256, 1997.

P. Fernandes and M. Raffetto, Existence, uniqueness and finite element approximation of the solution of time???harmonic electromagnetic boundary value problems involving metamaterials, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.24, issue.4, pp.1450-1469, 2005.
DOI : 10.1108/03321640510615724

Z. Jacob, L. V. Alekseyev, and E. Narimanov, Optical Hyperlens: Far-field imaging beyond the diffraction limit, Optics Express, vol.14, issue.18, pp.8247-8256, 2006.
DOI : 10.1364/OE.14.008247

V. V. Jikov, S. M. Kozlov, and O. A. , Ole? ?nik, Homogenization of Differential Operators and Integral Functionals, 1994.

J. Li and Y. Huang, Time-domain Finite Element Methods for Maxwell's Equations in Metamaterials, 2013.
DOI : 10.1007/978-3-642-33789-5

G. W. Milton and N. A. Nicorovici, On the cloaking effects associated with anomalous localized resonance, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.462, issue.2074, pp.3027-3059, 2006.
DOI : 10.1098/rspa.2006.1715

S. Nicaise and J. Venel, A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients, Journal of Computational and Applied Mathematics, vol.235, issue.14, pp.4272-4282, 2011.
DOI : 10.1016/j.cam.2011.03.028

URL : https://hal.archives-ouvertes.fr/hal-00517989

G. Oliveri and M. Raffetto, A Warning About Metamaterials for Users of Frequency-Domain Numerical Simulators, IEEE Transactions on Antennas and Propagation, vol.56, issue.3, pp.792-798, 2008.
DOI : 10.1109/TAP.2008.916955

URL : https://hal.archives-ouvertes.fr/hal-01171289

J. B. Pendry and S. A. Ramakrishna, Refining the perfect lens, Physica B: Condensed Matter, vol.338, issue.1-4, pp.329-332, 2003.
DOI : 10.1016/j.physb.2003.08.014

E. Rohan and B. Miara, Homogenization and Shape Sensitivity of Microstructures for Design of Piezoelectric Bio-Materials, Mechanics of Advanced Materials and Structures, vol.1538, issue.6, pp.473-485, 2006.
DOI : 10.1016/S0142-9612(01)00002-3

E. Rohan, B. Miara, and F. Seifrt, Numerical simulation of acoustic band gaps in homogenized elastic composites, International Journal of Engineering Science, vol.47, issue.4, pp.573-594, 2009.
DOI : 10.1016/j.ijengsci.2008.12.003

A. Salandrino and N. Engheta, Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations, Physical Review B, vol.74, issue.7, p.75103, 2006.
DOI : 10.1103/PhysRevB.74.075103

E. Shamonina and L. Solymar, Metamaterials: How the subject started, Metamaterials, pp.12-18, 2007.

D. R. Smith, J. B. Pendry, and M. C. Wiltshire, Metamaterials and Negative Refractive Index, Science, vol.305, issue.5685, pp.788-792, 2004.
DOI : 10.1126/science.1096796

S. Tricarico, F. Bilotti, and L. Vegni, Scattering cancellation by metamaterial cylindrical multilayers, Journal of the European Optical Society: Rapid Publications, vol.4, 2009.
DOI : 10.2971/jeos.2009.09021