J. B. Pendry, L. Martin-moreno, F. J. Garcia, and . Vidal, Mimicking Surface Plasmons with Structured Surfaces, Science, vol.305, issue.5685, pp.847-848, 2004.
DOI : 10.1126/science.1098999

F. J. Garcia-vidal, L. Martin-moreno, and J. B. Pendry, Surfaces with holes in them: new plasmonic metamaterials, Journal of Optics A: Pure and Applied Optics, vol.7, issue.2, p.97, 2005.
DOI : 10.1088/1464-4258/7/2/013

J. Zhu, J. Christensen, J. Jung, L. Martin-moreno, X. Yin et al., A holey-structured metamaterial for acoustic deep-subwavelength imaging, Nature Physics, vol.7, issue.1, pp.52-55, 2011.
DOI : 10.1103/PhysRevLett.104.164301

F. Lemoult, N. Kaina, M. Fink, and G. Lerosey, Wave propagation control at the deep subwavelength scale in??metamaterials, Nature Physics, vol.9, issue.1, pp.55-60, 2013.
DOI : 10.1103/PhysRevLett.107.064301

G. Ma, M. Yang, S. Xiao, Z. Yang, and P. Sheng, Acoustic metasurface with hybrid resonances, Nature Materials, vol.3, issue.9, pp.873-878, 2014.
DOI : 10.1016/j.apacoust.2004.11.005

J. Zhao, H. Ye, K. Huang, Z. N. Chen, B. Li et al., Manipulation of acoustic focusing with an active and configurable planar metasurface transducer, Scientific Reports, vol.102, issue.1, p.6257, 2014.
DOI : 10.1063/1.4774385

P. Peng, B. Xiao, and Y. Wu, Flat acoustic lens by acoustic grating with curled slits, Physics Letters A, vol.378, issue.45
DOI : 10.1016/j.physleta.2014.09.042

Y. Li, X. Jiang, R. Li, B. Liang, X. Zou et al., Experimental Realization of Full Control of Reflected Waves with Subwavelength Acoustic Metasurfaces, Physical Review Applied, vol.2, issue.6, p.64002, 2014.
DOI : 10.1038/ncomms5316

Y. Xie, W. Wang, H. Chen, A. Konneker, B. Popa et al., Wavefront modulation and subwavelength diffractive acoustics with an acoustic metasurface, Nature Communications, vol.3, p.5553, 2014.
DOI : 10.1103/PhysRevB.76.144302

URL : http://www.nature.com/articles/ncomms6553.pdf

J. Zhu, C. Yongyao, X. Zhu, F. Garcia-vidal, X. Yin et al., Acoustic rainbow trapping, Scientific Reports, vol.305, issue.1, p.1728, 2013.
DOI : 10.1126/science.1098999

URL : http://www.nature.com/articles/srep01728.pdf

A. Maurel, S. Félix, and J. Mercier, Enhanced transmission through gratings: Structural and geometrical effects, Physical Review B, vol.88, issue.11, p.115416, 2013.
DOI : 10.1103/PhysRevLett.98.037403

URL : https://hal.archives-ouvertes.fr/hal-00968865

C. R. Simovski, On electromagnetic characterization and homogenization of nanostructured metamaterials, Journal of Optics, vol.13, issue.1, p.13001, 2011.
DOI : 10.1088/2040-8978/13/1/013001

C. L. Holloway, A. Dienstfrey, E. F. Kuester, J. F. O-'hara, A. K. Azad et al., A discussion on the interpretation and characterization of metafilms/metasurfaces: The two-dimensional equivalent of metamaterials, Metamaterials, vol.3, issue.2, pp.100-112, 2009.
DOI : 10.1016/j.metmat.2009.08.001

P. A. Martin and R. A. Dalrymple, Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions, Journal of Fluid Mechanics, vol.22, issue.-1, pp.465-490, 1988.
DOI : 10.1080/14786441008636902

A. S. Bonnet-bendhia, D. Drissi, and N. Gmati, SIMULATION OF MUFFLER'S TRANSMISSION LOSSES BY A HOMOGENIZED FINITE ELEMENT METHOD, Journal of Computational Acoustics, vol.2, issue.03, pp.447-474, 2004.
DOI : 10.1002/mma.1670170502

Y. Capdeville and J. Marigo, Second order homogenization of the elastic wave equation for non-periodic layered media, Geophysical Journal International, vol.170, issue.2, pp.823-838, 2007.
DOI : 10.1111/j.1365-246X.2007.03462.x

URL : https://hal.archives-ouvertes.fr/hal-00310802

Y. Capdeville, L. Guillot, and J. Marigo, 2-D non-periodic homogenization to upscale elastic media for P-SV waves, Geophysical Journal International, vol.182, issue.2, pp.903-922, 2010.
DOI : 10.1111/j.1365-246X.2010.04636.x

URL : https://hal.archives-ouvertes.fr/hal-00490536

B. Delourme, H. Haddar, and P. Joly, Approximate models for wave propagation across thin periodic interfaces, Journal de Math??matiques Pures et Appliqu??es, vol.98, issue.1, pp.28-71, 2012.
DOI : 10.1016/j.matpur.2012.01.003

URL : https://hal.archives-ouvertes.fr/inria-00456200

J. Marigo and A. Maurel, An Interface Model for Homogenization of Acoustic Metafilms, p.7206, 2016.
DOI : 10.1142/9789813228702_0014

J. Marigo and C. Pideri, The Effective Behavior of Elastic Bodies Containing Microcracks or Microholes Localized on a Surface, International Journal of Damage Mechanics, vol.4, issue.8, pp.1151-1177, 2011.
DOI : 10.1137/1104014

URL : https://hal.archives-ouvertes.fr/hal-00549546

D. Martin, J. Marigo, and C. Pideri, Homogenized interface model describing inhomogeneities located on a surface, J. Elast, vol.109, pp.153-187, 2012.

R. Abdelmoula, M. Coutris, and J. Marigo, Comportement asymptotique d'une interphase ??lastique mince, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, vol.326, issue.4, pp.237-242, 1998.
DOI : 10.1016/S1251-8069(98)80032-8

M. Bonnet, A. Burel, M. Duruflé, and P. Joly, E?ective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model, Mathematical Modelling and Numerical Analysis, p.32, 2015.

A. , D. Felbacq, and D. Cassagne, Homogenization of negative-index composite metamaterials: A two-step approach, Phys. Rev. Lett, vol.98, p.37403, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00437953