H. Ammari, G. Ciraolo, H. Kang, H. Lee, and G. Milton, Spectral Theory of a Neumann???Poincar??-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance, Archive for Rational Mechanics and Analysis, vol.312, issue.5781, pp.667-692, 2013.
DOI : 10.1126/science.1125907

H. Ammari, P. Millien, M. Ruiz, and H. Zhang, Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case, Archive for Rational Mechanics and Analysis, vol.17, issue.3615???3669, pp.597-658, 2017.
DOI : 10.1088/0957-4484/17/5/024

K. Ando and H. Kang, Analysis of plasmon resonance on smooth domains using spectral properties of the Neumann???Poincar?? operator, Journal of Mathematical Analysis and Applications, vol.435, issue.1, pp.162-178, 2016.
DOI : 10.1016/j.jmaa.2015.10.033

A. Bonnet-ben-dhia, C. Carvalho, L. Chesnel, and P. Ciarlet-jr, On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients, Journal of Computational Physics, vol.322, pp.322-224, 2016.
DOI : 10.1016/j.jcp.2016.06.037
URL : https://hal.archives-ouvertes.fr/hal-01225309

A. Bonnet-ben-dhia, L. Chesnel, and P. Ciarlet-jr, -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

A. Bonnet-ben-dhia, L. Chesnel, and P. Ciarlet-jr, T-coercivity for the Maxwell problem with sign-changing coefficients, Comm. Partial Differential Equations, pp.39-1007, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00762275

A. Bonnet-ben-dhia, L. Chesnel, and P. Ciarlet-jr, Two-dimensional Maxwell's equations with sign-changing coefficients, Applied Numerical Mathematics, vol.79, pp.29-41, 2014.
DOI : 10.1016/j.apnum.2013.04.006

A. Bonnet-ben-dhia, M. Dauge, and K. Ramdani, Analyse spectrale et singularit??s d'un probl??me de transmission non coercif, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.8, pp.717-720, 1999.
DOI : 10.1016/S0764-4442(99)80241-9

E. Bonnetier and H. Zhang, Characterization of the essential spectrum of the Neumann-Poincaré operator in 2d domains with corner via weyl sequences, 2017.

Y. Brûlé, B. Gralak, and G. Demésy, Calculation and analysis of the complex band structure of dispersive and dissipative two-dimensional photonic crystals, Journal of the Optical Society of America B, vol.33, issue.4, pp.691-702, 2016.
DOI : 10.1364/JOSAB.33.000691

C. Cacciapuoti, K. Pankrashkin, and A. Posilicano, Self-adjoint indefinite laplacians

M. Cassier, C. Hazard, and P. Joly, Spectral theory for Maxwell???s equations at the interface of a metamaterial. Part I: Generalized Fourier transform, Communications in Partial Differential Equations, vol.66, issue.2
DOI : 10.1007/978-3-642-96208-0

M. Cassier, P. Joly, and M. Kachanovska, Mathematical models for dispersive electromagnetic waves: an overview, to appear in Comput, Math. Appl

M. Costabel and E. Stephan, A direct boundary integral equation method for transmission problems, Journal of Mathematical Analysis and Applications, vol.106, issue.2, pp.367-413, 1985.
DOI : 10.1016/0022-247X(85)90118-0
URL : https://doi.org/10.1016/0022-247x(85)90118-0

D. Edmunds and W. Evans, Spectral Theory and Differential Operators, 1987.

A. Figotin and J. Schenker, Hamiltonian treatment of time dispersive and dissipative media within the linear response theory, Journal of Computational and Applied Mathematics, vol.204, issue.2, pp.199-208, 2007.
DOI : 10.1016/j.cam.2006.01.038

B. Gralak and D. Maystre, Negative index materials and time-harmonic electromagnetic field, Comptes Rendus Physique, vol.13, issue.8, pp.786-799, 2012.
DOI : 10.1016/j.crhy.2012.04.003
URL : https://hal.archives-ouvertes.fr/hal-00761523

B. Gralak and A. Tip, Macroscopic Maxwell???s equations and negative index materials, Journal of Mathematical Physics, vol.3, issue.5, p.52902, 2010.
DOI : 10.1088/1367-2630/8/10/247
URL : http://arxiv.org/pdf/0901.0187

D. Grieser, The plasmonic eigenvalue problem, Reviews in Mathematical Physics, vol.80, issue.03, p.1450005, 2014.
DOI : 10.1016/S1369-7021(06)71572-3
URL : http://arxiv.org/pdf/1208.3120

T. Kato, Perturbation Theory for Linear Operators, 1996.

H. Nguyen, Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients, Journal de Math??matiques Pures et Appliqu??es, vol.106, issue.2, pp.342-374, 2016.
DOI : 10.1016/j.matpur.2016.02.013

P. Ola, Remarks on a Transmission Problem, Journal of Mathematical Analysis and Applications, vol.196, issue.2, pp.639-658, 1995.
DOI : 10.1006/jmaa.1995.1431
URL : https://doi.org/10.1006/jmaa.1995.1431

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

K. Perfekt and M. Putinar, The Essential Spectrum of the Neumann???Poincar?? Operator on a Domain with Corners, Archive for Rational Mechanics and Analysis, vol.10, issue.1, pp.1019-1033, 2017.
DOI : 10.1007/978-3-7643-9898-9_22

A. Tip, Linear absorptive dielectrics, Physical Review A, vol.390, issue.6, pp.4818-4841, 1998.
DOI : 10.1038/37757

A. Tip, Linear dispersive dielectrics as limits of Drude-Lorentz systems, Physical Review E, vol.63, issue.1, p.16610, 2004.
DOI : 10.1103/PhysRevA.63.043806

V. Veselago, The electrodynamics of substance with simultaneously negative values of ? and µ, Soviet Physics Uspekhi, pp.509-514, 1968.