T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Extraordinary optical transmission through sub-wavelength hole arrays, Nature, vol.391, issue.6668, pp.667-668, 1998.
DOI : 10.1038/35570

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Surface plasmon subwavelength optics, Nature, vol.424, issue.6950, pp.824-830, 2003.
DOI : 10.1038/nature01937

URL : https://hal.archives-ouvertes.fr/hal-00472360

E. Ozbay, Plasmonics: Merging Photonics and Electronics at Nanoscale Dimensions, Science, vol.311, issue.5758, pp.189-193, 2006.
DOI : 10.1126/science.1114849

H. Liu and P. Lalanne, Microscopic theory of the extraordinary optical transmission, Nature, vol.13, issue.7188, pp.728-731, 2008.
DOI : 10.1038/nature06762

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

C. Genet and T. W. Ebbesen, Light in tiny holes, Nature, vol.445, pp.39-46, 2007.
DOI : 10.1142/9789814287005_0021

L. Martin-moreno, F. J. Garcia-vidal, H. J. Lezec, K. M. Pellerin, T. Thio et al., Theory of Extraordinary Optical Transmission through Subwavelength Hole Arrays, Physical Review Letters, vol.86, issue.6, pp.1114-1117, 2001.
DOI : 10.1103/PhysRevLett.86.1114

P. Lalanne, J. P. Hugonin, and J. C. Rodier, Theory of Surface Plasmon Generation at Nanoslit Apertures, Physical Review Letters, vol.95, issue.26, p.902, 2005.
DOI : 10.1103/PhysRevLett.95.263902

J. Bravo-abad, A. I. Fernandez-dominguez, F. J. Garcia-vidal, and L. Martin-moreno, Theory of Extraordinary Transmission of Light through Quasiperiodic Arrays of Subwavelength Holes, Physical Review Letters, vol.99, issue.20, p.905, 2007.
DOI : 10.1103/PhysRevLett.99.203905

G. Gay, O. Alloschery, B. V. De-lesegno, C. O. Dwyer, J. Weiner et al., The optical response of nanostructured surfaces and the composite diffracted evanescent wave model, Nature Physics, vol.39, issue.4, pp.262-267, 2006.
DOI : 10.1103/PhysRevLett.95.263902

K. G. Lee and Q. H. Park, Coupling of Surface Plasmon Polaritons and Light in Metallic Nanoslits, Physical Review Letters, vol.95, issue.10, p.902, 2005.
DOI : 10.1103/PhysRevLett.95.103902

D. Qu and D. Grischkowsky, Observation of a New Type of??THz Resonance of Surface Plasmons Propagating on Metal-Film Hole Arrays, Physical Review Letters, vol.93, issue.19, p.804, 2004.
DOI : 10.1103/PhysRevLett.93.196804

J. M. Brok and H. P. Urbach, Extraordinary transmission through 1, 2 and 3 holes in a perfect conductor, modelled by a mode expansion technique, Optics Express, vol.14, issue.7, pp.2552-2572, 2006.
DOI : 10.1364/OE.14.002552

A. Agrawal, Z. V. Vardeny, and A. Nahata, Engineering the dielectric function of plasmonic lattices, Optics Express, vol.16, issue.13, pp.9601-9613, 2008.
DOI : 10.1364/OE.16.009601

A. P. Hibbins, J. R. Sambles, C. R. Lawrence, and J. R. Brown, Squeezing MillimeterWaves into Microns, Phys. Rev. Lett, vol.92, issue.143, p.904, 2004.
DOI : 10.1103/physrevlett.92.143904

C. Genet, M. P. Van-exter, and J. P. Woerdman, Fano-type interpretation of red shifts and red tails in hole array transmission spectra, Optics Communications, vol.225, issue.4-6, pp.4-6, 2003.
DOI : 10.1016/j.optcom.2003.07.037

M. Sarrazin, J. Vigneron, and J. Vigoureux, Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes, Physical Review B, vol.67, issue.8, p.415, 2003.
DOI : 10.1103/PhysRevB.67.085415

S. Chang, S. K. Gray, and G. C. Schatz, Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films, Optics Express, vol.13, issue.8, pp.3150-3165, 2005.
DOI : 10.1364/OPEX.13.003150

W. Zhang, A. K. Azad, J. Han, J. Xu, J. Chen et al., Direct Observation of a Transition of a Surface Plasmon Resonance from a Photonic Crystal Effect, Physical Review Letters, vol.98, issue.18, p.901, 2007.
DOI : 10.1103/PhysRevLett.98.183901

J. Masson and G. Gallot, Coupling between surface plasmons in subwavelength hole arrays, Phys. Rev. B, vol.73, issue.121R, p.401, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00097215

U. Fano, Effects of Configuration Interaction on Intensities and Phase Shifts, Physical Review, vol.124, issue.6, pp.1866-1875, 1961.
DOI : 10.1103/PhysRev.124.1866

J. Han, A. K. Azad, M. Gong, X. Lu, and W. Zhang, Coupling between surface plasmons and nonresonant transmission in subwavelength holes at terahertz frequencies, Applied Physics Letters, vol.91, issue.7, p.71122, 2007.
DOI : 10.1063/1.2771093

S. Bandopadhyay, B. Dutta-roy, and H. S. Mani, Understanding the Fano resonance through toy models, American Journal of Physics, vol.72, issue.12, p.1501, 2004.
DOI : 10.1119/1.1789162

C. Ryu and S. Y. Cho, Phase evolution of the transmission coefficient in an Aharonov-Bohm ring with Fano resonance, Physical Review B, vol.58, issue.7, p.3572, 1998.
DOI : 10.1103/PhysRevB.58.3572

H. A. Bethe, Theory of Diffraction by Small Holes, Physical Review, vol.66, issue.7-8, pp.163-182, 1944.
DOI : 10.1103/PhysRev.66.163

C. J. Bouwkamp, Diffraction Theory, Reports on Progress in Physics, vol.17, issue.1, pp.35-100, 1954.
DOI : 10.1088/0034-4885/17/1/302

D. Grischkowsky, S. R. Keiding, M. Van-exter, and C. Fattinger, Far-infrared time-domain spectroscopy with terahertz beams of dielectrics and semiconductors, Journal of the Optical Society of America B, vol.7, issue.10, pp.2006-2015, 1990.
DOI : 10.1364/JOSAB.7.002006

C. Chen, Transmission of Microwave Through Perforated Flat Plates of Finite Thickness, IEEE Transactions on Microwave Theory and Techniques, vol.21, issue.1, pp.1-6, 1973.
DOI : 10.1109/TMTT.1973.1127906

J. Masson, A. Podzorov, and G. Gallot, Anomalies in the disappearance of the extraordinary electromagnetic transmission in subwavelength hole arrays, Optics Express, vol.16, issue.7, pp.4719-4730, 2008.
DOI : 10.1364/OE.16.004719

URL : https://hal.archives-ouvertes.fr/hal-00324245

B. D. Fried and S. D. Conte, The plasma dispersion function. The Hilbert transform of the Gaussian, 1961.

D. G. Duffy, On the numerical inversion of Laplace transforms: comparison of three new methods on characteristic problems from applications, ACM Transactions on Mathematical Software, vol.19, issue.3, pp.333-359, 1993.
DOI : 10.1145/155743.155788

K. F. Riley, M. P. Hobson, and S. J. Bence, Mathematical methods for physics and engineering, 2006.