/. Manuscrit_07072016,

. Gc=matgc_field-(-lgc and . Kgc, Tgc

. Lbr and T. Kba,

. Lbf and T. Kba,

. Gc=sverst, GC

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, Pout ( j )=(1?Pr ( j )?Pt ( j ) )

, Bibliographie [1] inc Encyclopaedia Britannica. The New Encyclopaedia Britannica. Britannica Book of the Year. Encyclopaedia Britannica, 2010.

P. Yeh and C. Gu, Optics of liquid crystal displays, vol.67, 2010.

J. Ho-nyun-lee, M. Kyung, . Sung, S. K. Kim, S. Kang et al., Oxide tft with multilayer gate insulator for backplane of amoled device, Journal of the Society for Information Display, vol.16, issue.2, pp.265-272, 2008.

J. K. Jeong, J. H. Jeong, H. W. Yang, T. Kyung-ahn, M. Kim et al., 1-in. wxga amoled display driven by ingazno thin-film transistors, Journal of the Society for Information Display, vol.12, issue.2, pp.95-100, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01824336

J. Park, T. Kim, D. Stryakhilev, J. Lee, S. An et al., Flexible full color organic light-emitting diode display on polyimide plastic substrate driven by amorphous indium gallium zinc oxide thin-film transistors, Applied Physics Letters, vol.95, issue.1, 2009.

K. Ellmer, Past achievements and future challenges in the development of optically transparent electrodes, Nat Photon, vol.6, issue.12, pp.809-817, 2012.

T. Minami, Transparent conducting oxide semiconductors for transparent electrodes, Semiconductor Science and Technology, vol.20, issue.4, p.35, 2005.

U. Betz, M. Kharrazi-olsson, J. Marthy, M. F. Escolá, and F. Atamny, Thin films engineering of indium tin oxide : Large area flat panel displays application, Surface and Coatings Technology, pp.5751-5759, 2006.

M. Katayama, Tft-lcd technology, Thin Solid Films, vol.341, issue.12, pp.140-147, 1999.

A. Kumar and C. Zhou, The race to replace tin-doped indium oxide : Which material will win, ACS Nano, vol.4, issue.1, pp.11-14, 2010.

J. Kyeong and J. , The status and perspectives of metal oxide thin-film transistors for active matrix flexible displays, Semiconductor Science and Technology, vol.26, issue.3, p.34008, 2011.

M. Ito, C. Miyazaki, M. Ishizaki, M. Kon, N. Ikeda et al., Application of amorphous oxide {TFT} to electrophoretic display, Amorphous and Nanocrystalline SemiconductorsProceedings of the 22nd International Conference on Amorphous and Nanocrystalline Semiconductors-Science and Technology22nd International Conference on Amorphous and Nanocrystalline Semiconductors-Science and Technology, vol.354, pp.2777-2782, 2008.

D. Je-hun-lee, D. Kim, S. Yang, K. Hong, P. Yoon et al., Kyoung-seok Son, Tae-sang Kim, Jang-yeon Kwon, and Sang-yoon Lee. 42.2 : World's largest (15-inch) xga amlcd panel using igzo oxide tft, SID Symposium Digest of Technical Papers, vol.39, issue.1, pp.625-628, 2008.

. Han'guk-ch?-ongbo-t?-osu-mullei, Digest of Technical Papers of 7th IMID, vol.7, 2007.

. K. Sang-hee, C. Park, M. Hwang, S. Ryu, C. Yang et al., Min Suk Oh, and Seongil Im. Transparent and photo-stable zno thin-film transistors to drive an active matrix organic-lightemitting-diode display panel, Advanced Materials, vol.21, issue.6, pp.678-682, 2009.

W. Cao, J. Li, H. Chen, and J. Xue, Transparent electrodes for organic optoelectronic devices : a review, Journal of Photonics for Energy, vol.4, issue.1, p.40990, 2014.

H. Kyoung-, Q. Kim, and . Park, Perfect anti-reflection from first principles, Scientific Reports, vol.3, p.1062, 2013.

B. L. Good, S. P. Simmons, and M. S. Mirotznik, Design of antireflection grading using magneto-dielectric materials, IEEE Transactions on Antennas and Propagation, vol.63, issue.11, pp.4811-4817, 2015.

H. Lee, J. Na, Y. Moon, T. Seong, and S. Kim, Design of near-unity transmittance dielectric/ag/ito electrodes for gan-based light-emitting diodes, Current Applied Physics, vol.15, issue.7, pp.833-838, 2015.

J. Sun, E. Timurdogan, A. Yaacobi, E. Shah-hosseini, and M. R. Watts, Large-scale nanophotonic phased array, Nature, vol.493, issue.7431, pp.195-199, 2013.

D. J. Richardson, J. M. Fini, and L. E. Nelson, Space-division multiplexing in optical fibres, Nat Photon, vol.7, issue.5, pp.354-362, 2013.

H. Liu, H. Tam, P. K. Wai, and E. Pun, Low-loss waveguide crossing using a multimode interference structure, Optics Communications, pp.99-104, 2004.

A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Coupled-resonator optical waveguide : a proposal and analysis, Opt. Lett, vol.24, issue.11, pp.711-713, 1999.

J. P. Spoonhower and D. L. Patton, Placement of lumiphores within a light emitting resonator in a visual display with electro-optical addressing architecture, US Patent, vol.7, p.332, 2006.

S. Suzuki, Y. Hatakeyama, Y. Kokubun, and S. Chu, Precise control of wavelength channel spacing of microring resonator add-drop filter array, Journal of Lightwave Technology, vol.20, issue.4, pp.745-750, 2002.

A. Bianco, D. Cuda, M. Garrich-alabarce, R. Gaudino, G. Castillo et al., Microring-based wavelength routing matrix, European Conference and Exposition on Optical Communications, 2011.

D. M. Chiarulli, R. M. Ditmore, S. P. Levitan, and R. G. Melhem, An all optical addressing circuit : experimental results and scalability analysis, Journal of Lightwave Technology, vol.9, issue.12, pp.1717-1725, 1991.

J. Chang and C. Lee, Random-dot pattern design of a light guide in an edge-lit backlight : integration of optical design and dot generation scheme by the molecular-dynamics method, J. Opt. Soc. Am. A, vol.24, issue.3, pp.839-849, 2007.

M. Kusko, C. Kusko, and D. Cristea, Method of determination of lightscatterer distribution in edge-lit backlight units using an analytical approach, J. Opt. Soc. Am. A, vol.27, issue.9, pp.2015-2020, 2010.

J. Inoue, T. Ogura, K. Kintaka, K. Nishio, Y. Awatsuji et al., Fabrication of embedded 45-degree micromirror using liquidimmersion exposure for single-mode optical waveguides, J. Lightwave Technol, vol.30, issue.11, pp.1563-1568, 2012.

N. Hendrickx, J. Van-erps, G. Van-steenberge, H. Thienpont, and P. Van-daele, Tolerance analysis for multilayer optical interconnections integrated on a printed circuit board, J. Lightwave Technol, vol.25, issue.9, pp.2395-2401, 2007.

G. Jiang, S. Baig, and M. R. Wang, Tunable optofluidic couplers for dynamic cardto-backplane optical interconnect, Journal of Lightwave Technology, vol.31, issue.24, pp.4135-4141, 2013.

C. Bovet and J. P. Cano, Transparent component with switchable reflecting elements, and devices including such component, 2010.

J. H. Harris, R. K. Winn, and D. G. Dalgoutte, Theory and design of periodic couplers, Appl. Opt, vol.11, issue.10, pp.2234-2241, 1972.

S. S. Wang and R. Magnusson, Theory and applications of guided-mode resonance filters, Appl. Opt, vol.32, issue.14, pp.2606-2613, 1993.

T. Tamir and S. T. Peng, Analysis and design of grating couplers, Applied physics, vol.14, issue.3, pp.235-254, 1977.

D. Taillaert, F. Van-laere, M. Ayre, W. Bogaerts, D. Van-thourhout et al., Grating couplers for coupling between optical fibers and nanophotonic waveguides, Japanese Journal of Applied Physics, vol.45, issue.8A, pp.6071-6077, 2006.

T. Touam and S. Najafi, Symmetric profile beams from waveguides with asymmetric grating couplers, Appl. Opt, vol.36, issue.12, pp.2554-2558, 1997.

S. Miyanaga and T. Asakura, Intensity profile of outgoing beams from uniform and linearly tapered grating couplers, Appl. Opt, vol.20, issue.4, pp.688-695, 1981.

K. A. Bates, L. Li, R. L. Roncone, and J. J. Burke, Gaussian beams from variable groove depth grating couplers in planar waveguides, Appl. Opt, vol.32, issue.12, pp.2112-2116, 1993.

R. Waldhäusl, B. Schnabel, P. Dannberg, E. Kley, A. Bräuer et al., Efficient coupling into polymer waveguides by gratings, Appl. Opt, vol.36, issue.36, pp.9383-9390, 1997.

T. Kubota and M. Takeda, Array illuminator using grating couplers, Opt. Lett, vol.14, issue.12, pp.651-652, 1989.

T. Nakaya, Y. Katoh, T. Kubota, and M. Takeda, Diffraction efficiency of a grating coupler for an array illuminator, Appl. Opt, vol.35, issue.20, pp.3891-3898, 1996.

M. Takeda and T. Kubota, Integrated optic array illuminator : a design for efficient and uniform power distribution, Appl. Opt, vol.30, issue.9, pp.1090-1095, 1991.

J. M. Miller, N. De-beaucoudrey, P. Chavel, J. Turunen, and E. Cambril, Design and fabrication of binary slanted surface-relief gratings for a planar optical interconnection, Appl. Opt, vol.36, issue.23, pp.5717-5727, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00878957

H. Seok, E. Song, and . Lee, Focusing-grating-coupler arrays for uniform and efficient signal distribution in a backboard optical interconnect, Appl. Opt, vol.34, issue.26, pp.5913-5919, 1995.

T. Liao and S. Sheard, Integrated-optic array illuminator : a new design for guided-wave optical interconnections, Appl. Opt, vol.37, issue.13, pp.2729-2734, 1998.
DOI : 10.1364/ao.37.002729

D. Fattal, J. Li, Z. Peng, M. Fiorentino, and R. G. , Beausoleil. Flat dielectric grating reflectors with focusing abilities, Nature Photonics, vol.4, p.466, 2010.

C. Qiu and Q. Xu, Controlling normal incident optical waves with an integrated resonator, Opt. Express, vol.19, issue.27, pp.26905-26910, 2011.
DOI : 10.1364/oe.19.026905

G. Roelkens, D. Van-thourhout, R. Baets, and G. N. , Van Den Hoven. Method and system for multiplexer waveguide coupling, US Patent, vol.8, p.503, 2013.

K. Kintaka, K. Shimizu, Y. Kita, S. Kawanami, J. Inoue et al., Potential characterization of free-space-wave drop demultiplexer using cavity-resonator-integrated grating input/output coupler, Opt. Express, vol.18, issue.24, pp.25108-25115, 2010.
DOI : 10.1364/oe.18.025108
URL : https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/44868/1/OE18-24_25108-25115.pdf

K. Kintaka, J. Nishii, S. Murata, and S. Ura, Eight-channel wdm intraboard optical interconnect device by integration of add/drop multiplexers in thin-film waveguide, Journal of Lightwave Technology, vol.28, issue.9, pp.1398-1403, 2010.

S. Ura, J. Inoue, and K. Kintaka, Recent research progress on cavity-resonatorintegrated guided-mode resonance devices, Transparent Optical Networks (ICTON), pp.1-4, 2014.
DOI : 10.1109/icton.2014.6876539

K. Kintaka, T. Majima, K. Hatanaka, J. Inoue, and S. Ura, Polarization-independent guided-mode resonance filter with crossed integration of waveguide cavity resonators, Integrated Photonics Research, Silicon and Nanophotonics, page ITu3B.7, 2012.
DOI : 10.1364/iprsn.2012.itu3b.7

R. Robert, R. K. Boye, and . Kostuk, Investigation of the effect of finite grating size on the performance of guided-mode resonance filters, Appl. Opt, vol.39, issue.21, pp.3649-3653, 2000.

S. S. Wang, M. G. Moharam, R. Magnusson, and J. S. Bagby, Guided-mode resonances in planar dielectric-layer diffraction gratings, J. Opt. Soc. Am. A, vol.7, issue.8, pp.1470-1474, 1990.
DOI : 10.1364/josaa.7.001470

R. Magnusson and S. S. Wang, New principle for optical filters, Applied Physics Letters, vol.61, issue.9, pp.1022-1024, 1992.
DOI : 10.1063/1.107703

Y. Ding and R. Magnusson, Resonant leaky-mode spectral-band engineering and device applications, Opt. Express, vol.12, issue.23, pp.5661-5674, 2004.
DOI : 10.1364/opex.12.005661

A. Hessel and A. A. Oliner, A new theory of wood's anomalies on optical gratings, Appl. Opt, vol.4, issue.10, pp.1275-1297, 1965.

D. G. Dalgoutte, A high efficiency thin grating coupler for integrated optics, Optics Communications, vol.8, issue.2, pp.124-127, 1973.
DOI : 10.1016/0030-4018(73)90152-1

S. T. Peng and T. Tamir, Directional blazing of waves guided by asymmetrical dielectric gratings, Optics Communications, vol.11, issue.4, pp.405-409, 1974.
DOI : 10.1016/0030-4018(74)90247-8

T. Aoyagi, Y. Aoyagi, and S. Namba, High-efficiency blazed grating couplers, Applied Physics Letters, vol.29, issue.5, pp.303-304, 1976.
DOI : 10.1063/1.89055

G. Roelkens, D. Van-thourhout, and R. Baets, High efficiency siliconon-insulator grating coupler based on a poly-silicon overlay, Opt. Express, vol.14, issue.24, pp.11622-11630, 2006.
DOI : 10.1364/oe.14.011622
URL : https://biblio.ugent.be/publication/355819/file/571695.pdf

D. Taillaert, P. Bienstman, and R. Baets, Compact efficient broadband grating coupler for silicon-on-insulator waveguides, Opt. Lett, vol.29, issue.23, pp.2749-2751, 2004.
DOI : 10.1364/ol.29.002749

L. Chrostowski, Optical gratings : Nano-engineered lenses, Nat Photon, vol.4, issue.7, pp.413-415, 2010.
DOI : 10.1038/nphoton.2010.143

E. Popov, L. Mashev, and D. Maystre, Theoretical study of the anomalies of coated dielectric gratings, Optica Acta : International Journal of Optics, vol.33, issue.5, pp.607-619, 1986.

F. Lemarchand, A. Sentenac, and H. Giovannini, Increasing the angular tolerance of resonant grating filters with doubly periodic structures, Opt. Lett, vol.23, issue.15, pp.1149-1151, 1998.

A. Fehrembach, Réseaux résonnants à Bande Interdite Photonique, nouveaux filtres pour le D, Anne Optique Aix-Marseille, vol.3, 2003.

A. Fehrembach, A. Talneau, O. Boyko, F. Lemarchand, and A. Sentenac, Experimental demonstration of a narrowband, angular tolerant, polarization independent, doubly periodic resonant grating filter, Opt. Lett, vol.32, issue.15, pp.2269-2271, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00242029

A. Fehrembach, O. Gauthier-lafaye, K. Chan-shin, A. Yu, S. Monmayrant et al., Measurement and modeling of 2d hexagonal resonant-grating filter performance, J. Opt. Soc. Am. A, vol.27, issue.7, pp.1535-1540, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00945000

X. Buet, E. Daran, D. Belharet, F. Lozes-dupuy, A. Monmayrant et al., High angular tolerance and reflectivity with narrow bandwidth cavityresonator-integrated guided-mode resonance filter, Opt. Express, vol.20, issue.8, pp.9322-9327, 2012.

X. Buet, Nouvelles architectures de réseaux résonants pour la stabilisation de diodes laser, 2012.

S. Ura, S. Murata, Y. Awatsuji, and K. Kintaka, Design of resonance grating coupler, Opt. Express, vol.16, issue.16, pp.12207-12213, 2008.

K. Kintaka, T. Majima, J. Inoue, K. Hatanaka, J. Nishii et al., Cavity-resonator-integrated guided-mode resonance filter for aperture miniaturization, Opt. Express, vol.20, issue.2, pp.1444-1449, 2012.

N. Rassem, A. Fehrembach, and E. Popov, Waveguide mode in the box with an extraordinary flat dispersion curve, J. Opt. Soc. Am. A, vol.32, issue.3, pp.420-430, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01280606

A. Mizutani, H. Kikuta, and K. Iwata, Wave localization of doubly periodic guided-mode resonant grating filters, Optical Review, vol.10, issue.1, pp.13-18, 2003.

M. G. Moharam, T. K. Gaylord, E. B. Grann, and D. A. Pommet, Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings, J. Opt. Soc. Am. A, vol.12, issue.5, pp.1068-1076, 1995.

M. G. Moharam, T. K. Gaylord, D. A. Pommet, and E. B. Grann, Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings : enhanced transmittance matrix approach, J. Opt. Soc. Am. A, vol.12, issue.5, pp.1077-1086, 1995.

A. Taflove, C. Susan, and . Hagness, Computational electrodynamics, 2000.

K. Yee, Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media, IEEE Transactions on Antennas and Propagation, vol.14, issue.3, pp.302-307, 1966.

S. W. Corzine and L. A. Coldren, Diode Lasers and Photonic Integrated Circuits, 1995.

T. Suhara, H. Nishihara, and M. Haruna, Optical Integrated Circuits, 1989.

A. Yariv and P. Yeh, Photonics : Optical Electronics in Modern Communications. The Oxford series in electrical and computer engineering, 2007.

. Scilab,

P. Arguel, Conception et technologie de diodes laser GaAlAs/GaAs émettant par la surface au moyen de réflecteurs de Bragg distribués, 1995.

M. Scott, T. Norton, G. M. Erdogan, and . Morris, Coupled-mode theory of resonant-grating filters, J. Opt. Soc. Am. A, vol.14, issue.3, pp.629-639, 1997.

Y. Ding and R. Magnusson, Band gaps and leaky-wave effects in resonant photoniccrystal waveguides, Opt. Express, vol.15, issue.2, pp.680-694, 2007.

P. Yeh, Optical Waves in Layered Media, Wiley Series in Pure and Applied Optics, 2005.

R. Laberdesque, O. Gauthier-lafaye, H. Camon, A. Monmayrant, M. Petit et al., High-order modes in cavity-resonator-integrated guided-mode resonance filters (crigfs), J. Opt. Soc. Am. A, vol.32, issue.11, pp.1973-1981, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01943097

H. Chen, R. Van-uden, C. Okonkwo, and T. Koonen, Compact spatial multiplexers for mode division multiplexing, Opt. Express, vol.22, issue.26, pp.31582-31594, 2014.

D. A. Bykov and L. L. Doskolovich, Numerical methods for calculating poles of the scattering matrix with applications in grating theory, Journal of Lightwave Technology, vol.31, pp.793-801, 2013.

K. Kintaka, K. Hatanaka, J. Inoue, and S. Ura, Cavity-resonatorintegrated guided-mode resonance filter for highly efficient coupling with gaussian beam, Advanced Photonics, pp.5-5, 2013.

S. Hernandez, O. Bouchard, E. Scheid, E. Daran, L. Jalabert et al., 850 nm wavelength range nanoscale resonant optical filter fabrication using standard microelectronics techniques, vol.84, pp.673-677, 2007.

M. J. Weber, Handbook of Optical Materials. Laser & Optical Science & Technology, 2002.

B. Bêche, . Pelletier, J. Gaviot, and . Zyss, Single-mode te00-tm00 optical waveguides on su-8 polymer, Optics Communications, vol.230, issue.1-3, pp.91-94, 2004.

D. Y. , K. Ko, and J. C. Inkson, Matrix method for tunneling in heterostructures : Resonant tunneling in multilayer systems, Physical Review B, vol.38, issue.14, p.9945, 1988.

S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, and T. Ishihara, Quasiguided modes and optical properties of photonic crystal slabs, Phys. Rev. B, vol.66, p.45102, 2002.

X. Buet, . Guelmami, S. Monmayrant, C. Calvez, F. Tourte et al., Wavelength-stabilised external-cavity laser diode using cavity resonator integrated guided mode filter, Electronics Letters, vol.48, issue.25, pp.1619-1621, 2012.

M. L. Dakss, L. Kuhn, P. F. Heidrich, and B. A. Scott, Grating coupler for efficient excitation of optical guided waves in thin films, Applied Physics Letters, vol.16, issue.12, pp.523-525, 1970.

J. Inoue, T. Kondo, K. Kintaka, K. Nishio, and S. Ura, Determination of cavity length of cavity-resonator-integrated guided-mode resonance filter, Opt. Express, vol.23, issue.3, pp.3020-3026, 2015.

R. Kazarinov and C. Henry, Second-order distributed feedback lasers with mode selection provided by first-order radiation losses. Quantum Electronics, IEEE Journal, vol.21, issue.2, pp.144-150, 1985.

L. Li, Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings, J. Opt. Soc. Am. A, vol.13, issue.5, pp.1024-1035, 1996.

. Sagemath,