C. Hasar, G. Buldu, M. Bute, J. J. Barroso, T. Karacali et al., Determination of constitutive parameters of homogeneous metamaterial slabs by a novel calibration-independent method, AIP Advances, vol.4, issue.10, p.107116, 2014.
DOI : 10.1063/1.4898148

D. Karamanos, S. D. Assimonis, A. I. Dimitriadis, and N. V. Kantartzis, Effective parameter extraction of 3D metamaterial arrays via first-principles homogenization theory, Photonics and Nanostructures - Fundamentals and Applications, vol.12, issue.4, p.291, 2014.
DOI : 10.1016/j.photonics.2014.04.005

C. J. Clausen, S. Arslanagic, and O. Breinbjerg, Comparison of spatial harmonics in infinite and finite Bragg stacks for metamaterial homogenization, Photonics and Nanostructures - Fundamentals and Applications, vol.12, issue.5, p.419, 2014.
DOI : 10.1016/j.photonics.2014.06.006

C. Ciattoni and . Rizza, Nonlocal homogenization theory in metamaterials: Effective electromagnetic spatial dispersion and artificial chirality, Physical Review B, vol.91, issue.18, p.184207, 2015.
DOI : 10.1103/PhysRevB.91.184207

A. Sozio, M. Vallecchi, F. Albani, and . Capolino, Generalized Lorentz-Lorenz homogenization formulas for binary lattice metamaterials, Physical Review B, vol.91, issue.20, p.205127, 2015.
DOI : 10.1103/PhysRevB.91.205127

Y. Li, J. M. Holt, and A. L. Efros, Imaging by the Veselago lens based upon a two-dimensional photonic crystal with a triangular lattice, Journal of the Optical Society of America B, vol.23, issue.5, p.963, 2006.
DOI : 10.1364/JOSAB.23.000963

C. Menzel, T. Rockstuhl, F. Paul, T. Lederer, and . Pertsch, Retrieving effective parameters for metamaterials at oblique incidence, Physical Review B, vol.77, issue.19, p.195328, 2008.
DOI : 10.1103/PhysRevB.77.195328

C. Menzel, R. Rockstuhl, F. Iliew, A. Lederer, R. Andryieuski et al., High symmetry versus optical isotropy of a negative-index metamaterial, Physical Review B, vol.81, issue.19, p.195123, 2010.
DOI : 10.1103/PhysRevB.81.195123

M. Stout, E. Neviere, and . Popov, Mie scattering by an anisotropic object Part I Homogeneous sphere, Journal of the Optical Society of America A, vol.23, issue.5, p.1111, 2006.
DOI : 10.1364/JOSAA.23.001111
URL : https://hal.archives-ouvertes.fr/hal-00067819

M. Stout, E. Neviere, and . Popov, T matrix of the homogeneous anisotropic sphere: applications to orientation-averaged resonant scattering, Journal of the Optical Society of America A, vol.24, issue.4, p.1120, 2007.
DOI : 10.1364/JOSAA.24.001120
URL : https://hal.archives-ouvertes.fr/hal-00387450

V. Agranovich and . Ginzburg, Spatial Dispersion in Crystal Optics and the Theory of Excitons, 1966.

A. Markel and I. Tsukerman, Current-driven homogenization and effective medium parameters for finite samples, Physical Review B, vol.88, issue.12, p.125131, 2013.
DOI : 10.1103/PhysRevB.88.125131

S. G. Luo, J. D. Johnson, J. B. Joannopoulos, and . Pendry, All-angle negative refraction without negative effective index, Physical Review B, vol.65, issue.20, p.201104, 2002.
DOI : 10.1103/PhysRevB.65.201104

S. G. Luo, J. D. Johnson, and . Joannopoulos, All-angle negative refraction in a three-dimensionally periodic photonic crystal, Applied Physics Letters, vol.81, issue.13, p.2352, 2002.
DOI : 10.1063/1.1508807

V. Craster, J. Kaplunov, E. Nolde, and S. Guenneau, High-frequency homogenization for checkerboard structures: defect modes, ultrarefraction, and all-angle negative refraction, Journal of the Optical Society of America A, vol.28, issue.6, p.1032, 2011.
DOI : 10.1364/JOSAA.28.001032
URL : https://hal.archives-ouvertes.fr/hal-00647937

V. A. Tsukerman, Nonasymptotic homogenization of periodic electromagnetic structures: Uncertainty principles, Physical Review B, vol.93, issue.2, p.24418, 2016.
DOI : 10.1103/PhysRevB.93.024418
URL : https://hal.archives-ouvertes.fr/hal-01279909

A. Markel and J. C. Schotland, Homogenization of Maxwell's equations in periodic composites: Boundary effects and dispersion relations, Physical Review E, vol.85, issue.6, p.66603, 2012.
DOI : 10.1103/PhysRevE.85.066603

G. Silveirinha, Metamaterial homogenization approach with application to the characterization of microstructured composites with negative parameters, Physical Review B, vol.75, issue.11, p.115104, 2007.
DOI : 10.1103/PhysRevB.75.115104

J. D. Joannopoulos, R. D. Meade, J. N. Winn, and N. J. , However, in the 2D geometry, even stronger conditions are satisfied: (i) not only E0 but the total electric field E(x, y) = ? zE(x, y) is collinear with the Z-axis and (ii) the electric field E(x, y) is independent of z. The latter two properties do not generally hold in three-dimensional PCs, 31 These assumptions can hold in both 2D and 3D PCs Photonic Crystals: Molding the Flow of Light, 2008.

I. Tsukerman and F. Cajko, Photonic Band Structure Computation Using FLAME, IEEE Transactions on Magnetics, vol.44, issue.6, p.1382, 2008.
DOI : 10.1109/TMAG.2007.916166

R. Gajic, R. Meisels, F. Kuchar, and K. , Refraction and rightness in photonic crystals, Optics Express, vol.13, issue.21, p.8596, 2005.
DOI : 10.1364/OPEX.13.008596.m002

.. Pei and Y. Huang, Effective refractive index of the photonic crystal deduced from the oscillation model of the membrane, Journal of the Optical Society of America B, vol.29, issue.9, p.2334, 2012.
DOI : 10.1364/JOSAB.29.002334

Y. Z. Xiong, L. J. Jiang, V. A. Markel, and I. Tsukerman, Surface waves in three-dimensional electromagnetic composites and their effect on homogenization, Optics Express, vol.21, issue.9, p.10412, 2013.
DOI : 10.1364/OE.21.010412

A. Markel and J. C. Schotland, On the sign of refraction in anisotropic non-magnetic media, Journal of Optics, vol.12, issue.1, p.15104, 2010.
DOI : 10.1088/2040-8978/12/1/015104

I. Tsukerman, Negative refraction and the minimum lattice cell size, Journal of the Optical Society of America B, vol.25, issue.6, p.927, 2008.
DOI : 10.1364/JOSAB.25.000927