J. Jin, The Finite Element Method in Electromagnetics, 2002.

M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings, Journal of the Optical Society of America A, vol.12, issue.5, p.1068, 1995.
DOI : 10.1364/JOSAA.12.001068

J. P. Hugonin and P. Lalanne, Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization, Journal of the Optical Society of America A, vol.22, issue.9, p.1844, 2005.
DOI : 10.1364/JOSAA.22.001844
URL : https://hal.archives-ouvertes.fr/hal-00869730

G. Lecamp, J. P. Hugonin, and P. Lalanne, Theoretical and computational concepts for periodic optical waveguides, Optics Express, vol.15, issue.18, p.11042, 2007.
DOI : 10.1364/OE.15.011042
URL : https://hal.archives-ouvertes.fr/hal-00869734

E. Popov, M. Nevière, B. Gralak, and G. Tayeb, Staircase approximation validity for arbitrary-shaped gratings, Journal of the Optical Society of America A, vol.19, issue.1, p.33, 2002.
DOI : 10.1364/JOSAA.19.000033
URL : https://hal.archives-ouvertes.fr/hal-00080054

H. Kim, I. M. Lee, and B. Lee, Extended scattering-matrix method for efficient full parallel implementation of rigorous coupled-wave analysis, Journal of the Optical Society of America A, vol.24, issue.8, p.2313, 2007.
DOI : 10.1364/JOSAA.24.002313

K. Dossou, M. A. Byrne, and L. C. Botten, Finite element computation of grating scattering matrices and application to photonic crystal band calculations, Journal of Computational Physics, vol.219, issue.1, p.120, 2006.
DOI : 10.1016/j.jcp.2006.03.029

T. Delort and D. Maystre, Finite-element method for gratings, Journal of the Optical Society of America A, vol.10, issue.12, p.2592, 1993.
DOI : 10.1364/JOSAA.10.002592

P. Lalanne and J. P. Hugonin, Numerical performance of finite-difference modal methods for the electromagnetic analysis of one-dimensional lamellar gratings, Journal of the Optical Society of America A, vol.17, issue.6, p.1033, 2000.
DOI : 10.1364/JOSAA.17.001033
URL : https://hal.archives-ouvertes.fr/hal-00867708

Q. Cao, P. Lalanne, and J. P. Hugonin, Stable and efficient Bloch-mode computational method for one-dimensional grating waveguides, Journal of the Optical Society of America A, vol.19, issue.2, p.335, 2002.
DOI : 10.1364/JOSAA.19.000335
URL : https://hal.archives-ouvertes.fr/hal-00867916

C. Sauvan, P. Lalanne, J. C. Rodier, J. P. Hugonin, and A. Talneau, Accurate modeling of line-defect photonic crystal waveguides, IEEE Photonics Technology Letters, vol.15, issue.9, p.1243, 2003.
DOI : 10.1109/LPT.2003.816123