Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars, Physical Review B, vol.83, issue.10, p.10401, 2011.
DOI : 10.1063/1.3114543
URL : https://hal.archives-ouvertes.fr/hal-00639217

J. D. Achenbach, Wave Propagation in Elastic Solids, Journal of Applied Mechanics, vol.41, issue.2, 1984.
DOI : 10.1115/1.3423344

S. Brûlé, E. H. Javelaud, S. Enoch, and S. Guenneau, Experiments on seismic metamaterials: molding surface waves, Phys. Rev. Lett, vol.112, 2014.

A. Colombi, D. Colquitt, P. Roux, S. Guenneau, and R. V. Craster, A seismic metamaterial: The resonant metawedge, Scientific Reports, vol.82, issue.1, p.27717, 2016.
DOI : 10.1103/RevModPhys.82.2257
URL : https://hal.archives-ouvertes.fr/hal-01395831

A. Colombi, P. Roux, S. Guenneau, P. Guéguen, and R. V. Craster, Forests as a natural seismic metamaterial: Rayleigh wave bandgaps induced by local resonances, Scientific Reports, vol.3, issue.1, 2016.
DOI : 10.1038/srep03240
URL : https://hal.archives-ouvertes.fr/hal-01283646

A. Colombi, P. Roux, and M. Rupin, Sub-wavelength energy trapping of elastic waves in a metamaterial, The Journal of the Acoustical Society of America, vol.136, issue.2, pp.192-200, 2014.
DOI : 10.1121/1.4890942.1

D. Colquitt, R. V. Craster, T. Antonakakis, and S. Guenneau, Rayleigh-Bloch waves along elastic diffraction gratings, Proc. R. Soc. A 471, 2015.
DOI : 10.1098/rspa.2011.0652
URL : https://hal.archives-ouvertes.fr/hal-01283610

D. Colquitt, I. Jones, N. Movchan, and A. Movchan, Dispersion and localization of elastic waves in materials with microstructure, Proc. R. Soc. A: Math, pp.467-2874, 2011.
DOI : 10.1103/PhysRevE.69.016609

M. Dubois, M. Farhat, E. Bossy, S. Enoch, S. Guenneau et al., Flat lens for pulse focusing of elastic waves in thin plates On the existence of embedded surface waves along arrays of parallel plates, Appl. Phys. Lett. Q. J. Mech. Appl. Math, vol.103, issue.553, pp.481-494, 2002.

N. Fang, D. Xi, J. Xu, M. Ambati, W. Srituravanich et al., Ultrasonic metamaterials with negative modulus, Nature Materials, vol.97, issue.6, pp.452-456, 2006.
DOI : 10.1121/1.412085

K. F. Graff, Wave Motion in Elastic Solids, 1975.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, M. Kadic et al., Photonic crystals, Metamaterials beyond electromagnetism, pp.76-126501, 2011.
DOI : 10.1016/S0038-1098(96)00716-8

D. Komatitsch and R. Martin, An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation, GEOPHYSICS, vol.78, issue.5, pp.155-167, 2007.
DOI : 10.1109/22.554601
URL : https://hal.archives-ouvertes.fr/inria-00528418

D. Komatitsch and J. Vilotte, The spectral element method: an efficient tool to simulate the seismic response of 2d and 3d geological structures, Bull. Seism. Soc. Am, vol.88, issue.2, pp.368-392, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00669068

A. Lagarkov, V. Semenenko, V. Chistyaev, D. Ryabov, S. Tretyakov et al., Resonance Properties of Bi-Helix Media at Microwaves, Electromagnetics, vol.2, issue.3, pp.213-237, 1997.
DOI : 10.1109/8.504309

J. Li and C. Chan, Double-negative acoustic metamaterial, Physical Review E, vol.70, issue.5, p.55602, 2004.
DOI : 10.1103/PhysRevB.65.064307

D. J. Colquitt, Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction, Journal of the Mechanics and Physics of Solids, vol.99, pp.379-393, 2017.
DOI : 10.1016/j.jmps.2016.12.004
URL : https://hal.archives-ouvertes.fr/hal-01421867

M. J. Lighthill, Introduction to Fourier Analysis and Generalized Functions, 1958.

Z. Liu, X. Zhang, Y. Mao, Y. Zhu, Z. Yang et al., Locally Resonant Sonic Materials, Science, vol.289, issue.5485, pp.1734-1736, 2000.
DOI : 10.1126/science.289.5485.1734

A. A. Maradudin, Structured Surfaces as Optical Metamaterials, 2011.
DOI : 10.1017/CBO9780511921261

F. Meseguer, M. Holgado, D. Caballero, N. Benaches, J. Sánchez-dehesa et al., Rayleigh-wave attenuation by a semi-infinite two-dimensional elastic-band-gap crystal, Physical Review B, vol.80, issue.19, p.12169, 1999.
DOI : 10.1103/PhysRevLett.80.2829

J. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, Magnetism from conductors and enhanced nonlinear phenomena, IEEE Transactions on Microwave Theory and Techniques, vol.47, issue.11, pp.47-2075, 1999.
DOI : 10.1109/22.798002
URL : http://www.cmth.ph.ic.ac.uk/photonics/Newphotonics/pdf/magwires.pdf

J. B. Pendry, Negative Refraction Makes a Perfect Lens, Physical Review Letters, vol.83, issue.18, pp.3966-3969, 2000.
DOI : 10.1103/PhysRevLett.83.2845

R. Porter and D. Evans, Embedded Rayleigh???Bloch surface waves along periodic rectangular arrays, Wave Motion, vol.43, issue.1, pp.29-50, 2005.
DOI : 10.1016/j.wavemoti.2005.05.005

R. Porter and D. V. Evans, Rayleigh???Bloch surface waves along periodic gratings and their connection with trapped modes in waveguides, Journal of Fluid Mechanics, vol.386, pp.233-258, 1999.
DOI : 10.1017/S0022112099004425

P. Roux, M. Rupin, A. Colombi, R. V. Craster, S. Guénneau et al., In press. New trends toward locally-resonant metamaterials at the mesoscopic scale, Handbook of Metamaterials and Nanophotonics
URL : https://hal.archives-ouvertes.fr/hal-01162592

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-nasser, and S. Schultz, Composite Medium with Simultaneously Negative Permeability and Permittivity, Physical Review Letters, vol.10, issue.18, pp.4184-4187, 2000.
DOI : 10.1364/JOSAB.10.000314

V. G. Veselago, THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF $\epsilon$ AND ??, Soviet Physics Uspekhi, vol.10, issue.4, p.509, 1968.
DOI : 10.1070/PU1968v010n04ABEH003699

E. G. Williams, P. Roux, M. Rupin, and W. A. Kuperman, Theory of multiresonant metamaterials for A 0 Lamb waves, Phys. Rev. B, vol.91, 2015.

Y. Xiao, J. Wen, and X. Wen, Flexural wave band gaps in locally resonant thin plates with periodically attached spring???mass resonators, Journal of Physics D: Applied Physics, vol.45, issue.19, p.45, 2012.
DOI : 10.1088/0022-3727/45/19/195401

J. Y. Yoritomo, R. L. Weaver, P. Roux, M. Rupin, and E. G. Williams, On band gap predictions for multiresonant metamaterials on plates, The Journal of the Acoustical Society of America, vol.139, issue.3, pp.1282-1284, 2016.
DOI : 10.1121/1.4944686