P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces, 1963.

G. Voronovich, Small-slope approximation for electromagnetic wave scattering at a rough interface of two dielectric half-spaces, Waves Random Media, pp.337-367, 1994.
DOI : 10.1088/0959-7174/4/2/008

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of electromagnetic waves : theories and applications, 2000.
DOI : 10.1002/0471224286

T. M. Elfouhaily and C. A. Guérin, A critical survey of approximate scattering wave theories from random rough surfaces, Waves in Random Media, vol.11, issue.4, pp.1-10, 2004.
DOI : 10.1109/36.823941
URL : https://hal.archives-ouvertes.fr/hal-00103799

K. F. Warnick and W. C. Chew, Numerical simulation methods for rough surface scattering, Waves in Random Media, vol.10, issue.1, pp.1-30, 2001.
DOI : 10.1109/8.127397

M. Saillard and A. Sentennac, Rigorous solutions for electromagnetic scattering from rough surfaces, Waves in Random Media, vol.14, issue.14, pp.103-137, 2001.
DOI : 10.1080/13616670109409779

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of electromagnetic waves -Numerical simulations, 2001.
DOI : 10.1002/0471224308

N. Déchamps, Méthodes numériques appliquées au calcul de la diffusion d'une ondé electromagnétique par des interfaces naturelles monodimensionnelles, Thèse de doctorat, 2004.

D. Maystre, Electromagnetic scattering from perfectly conducting rough surfaces in the resonance region, IEEE Transactions on Antennas and Propagation, vol.31, issue.6, pp.885-895, 1983.
DOI : 10.1109/TAP.1983.1143159

D. Maystre and P. Rossi, Implementation of a rigorous vector theory of speckle for two-dimensional microrough surfaces, Journal of the Optical Society of America A, vol.3, issue.8, pp.1276-1282, 1986.
DOI : 10.1364/JOSAA.3.001276

R. Petit, OndesélectromagnétiquesOndesélectromagnétiques en radioélectricité et en optique, 1993.

G. Voronovich, Wave Scattering from Rough Surfaces, 1994.
DOI : 10.1007/978-3-642-97544-8

R. Petit and M. Cadilhac, Sur la diffraction d'une onde plane par un réseau infiniment conducteur, C.R. Acad. Sci. B, pp.468-471, 1966.

P. M. Van-den, J. T. Berg, and . Fokkema, The Rayleigh hypothesis in the theory of diffraction by a perturbation in a plane surface, Radio Science, vol.27, issue.4, pp.723-732, 1980.
DOI : 10.1029/RS015i004p00723

C. Baudier and R. Dusséaux, Scattering of an E||-Polarized Plane Wave by One-dimensional Rough Surfaces: Numerical Applicability Domain of a Rayleigh Method in the Far-field Zone, Progress In Electromagnetics Research, vol.34, pp.1-27, 2001.
DOI : 10.2528/PIER01010501

R. Dusséaux and C. Baudier, Scattering of a Plane Wave by 1-dimensional Dielectric Rough Surfaces Study of the Field in a Nonorthogonal Coordinate System, Progress In Electromagnetics Research, vol.37, pp.289-317, 2003.
DOI : 10.2528/PIER02080502

J. M. Soto-crespo, M. Nieto-vesperinas, and A. T. Friberg, Scattering from slightly rough random surfaces: a detailed study on the validity of the small perturbation method, Journal of the Optical Society of America A, vol.7, issue.7, pp.1185-1201, 1990.
DOI : 10.1364/JOSAA.7.001185

O. Taconet and V. Ciarletti, Estimating soil roughness indices on a ridge-andfurrow surface using stereo photogrammetry, Soil and Tillage Research, pp.64-76, 2007.

M. Charbit, Eléments de théorie du signal : les signaux aléatoires, Ellipses : Paris, 1990.

M. Zribi, Développement de nouvelles méthodes de modélisation de la rugosité pour la rétrodiffusion hyperfréquence de la surface du sol, Thèse de l, 1998.

M. Zribi, O. Ciarletti, P. Taconet, and . Boissard, Characterisation of the Soil Structure and Microwave Backscattering Based on Numerical Three-Dimensional Surface Representation Analysis with a Fractional Brownian Model, Remote Sensing of Environment, vol.72, issue.2, pp.159-169, 2000.
DOI : 10.1016/S0034-4257(99)00097-8

M. T. Hallikainen, F. T. Ulaby, M. C. Dobson, M. A. El-rayes, and L. K. Wu, Microwave Dielectric Behavior of Wet Soil-Part 1: Empirical Models and Experimental Observations, IEEE Transactions on Geoscience and Remote Sensing, vol.23, issue.1, pp.25-34, 1985.
DOI : 10.1109/TGRS.1985.289497

J. R. Wang and T. J. Schmugge, An emperical model for the complex dielectric permittivity of soils as a function of water content, IEEE Trans. Geosci. Remote Sensing, vol.18, pp.288-295, 1980.

M. Zribi, O. Taconet, V. Ciarletti, and D. Vidal-madjar, Effect of row structures on radar microwave measurements over soil surface, International Journal of Remote Sensing, vol.73, issue.24, pp.5211-5224, 2002.
DOI : 10.1080/01431160110115762

J. Chandezon, D. Maystre, and G. Raoult, A new theoretical method for diffraction gratings and its numerical application, Journal of Optics, vol.11, issue.4, pp.235-241, 1980.
DOI : 10.1088/0150-536X/11/4/005

L. Li and J. Chandezon, Improvement of the coordinate transformation method for surface-relief gratings with sharp edges, Journal of the Optical Society of America A, vol.13, issue.11, pp.2247-2255, 1995.
DOI : 10.1364/JOSAA.13.002247

S. J. Elston, P. G. Bryan-brown, and J. R. Sambles, Polarization conversion from diffraction gratings, Physical Review B, vol.44, issue.12, pp.6393-6400, 1991.
DOI : 10.1103/PhysRevB.44.6393

J. Plumey, G. Granet, and J. Chandezon, Differential covariant formalism for solving Maxwell's equations in curvilinear coordinates: oblique scattering from lossy periodic surfaces, IEEE Transactions on Antennas and Propagation, vol.43, issue.8, pp.835-842, 1995.
DOI : 10.1109/8.402203

G. Granet, J. Plumey, and J. Chandezon, Scattering by a periodically corrugated dielectric layer with non-identical faces, Pure and Applied Optics: Journal of the European Optical Society Part A, vol.4, issue.1, pp.1-5, 1995.
DOI : 10.1088/0963-9659/4/1/001

G. Granet, Analysis of diffraction by crossed gratings using a non-orthogonal coordinate system, Pure and Applied Optics: Journal of the European Optical Society Part A, vol.4, issue.6, pp.777-793, 1995.
DOI : 10.1088/0963-9659/4/6/008

G. Granet, Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method : application to multilayer crossed gratings, J. Opt. Soc

G. Granet, J. Chandezon, J. Plumey, and K. Raniriharinosy, Reformulation of the coordinate transformation method through the concept of adaptive spatial resolution Application to trapezoidal gratings, Journal of the Optical Society of America A, vol.18, issue.9, pp.2102-2108, 2001.
DOI : 10.1364/JOSAA.18.002102

G. Granet and J. Chandezon, The method of curvilinear coordinates applied to the problem of scattering from surface-relief gratings defined by parametric equations: application to scattering from a cycloidal grating, Pure and Applied Optics: Journal of the European Optical Society Part A, vol.6, issue.6, pp.727-740, 1997.
DOI : 10.1088/0963-9659/6/6/015

T. Vallius, Comparing the Fourier modal method with the C method: analysis of conducting multilevel gratings in TM polarization, Journal of the Optical Society of America A, vol.19, issue.8, pp.1555-1562, 2002.
DOI : 10.1364/JOSAA.19.001555

S. Afifi, Propagation et diffraction d'une ondé electromagnétique dans des structures apériodiques, Thèse, 1986.

A. Benali, J. Chandezon, and J. Fontaine, A new theory for scattering of electromagnetic waves from conducting or dielectric rough surfaces, IEEE Transactions on Antennas and Propagation, vol.40, issue.2, pp.141-148, 1992.
DOI : 10.1109/8.127397

R. Dusséaux and R. De-oliveira, Scattering of a Plane Wave by a 1-Dimensional Rough Surface Study in a Nonorthogonal Coordinate System, Progress In Electromagnetics Research, vol.34, pp.63-88, 2001.
DOI : 10.2528/PIER01030901

K. S. Edee, G. Granet, R. Dusséaux, and C. Baudier, A Hybrid Method for the Study of Plane Waves Scattering by Rough Surfaces, Journal of Electromagnetic Waves and Applications, vol.38, issue.2, pp.1001-1015, 2004.
DOI : 10.1163/156939301X01219
URL : https://hal.archives-ouvertes.fr/hal-00272548

C. Baudier, Diffraction d'ondesélectromagnétiquesondesélectromagnétiques par des surfaces rugueuses aléatoires : méthode approchée de Rayleigh et méthode exacte en coordonnées non-orthogonales, Thèse de l'Université de Versailles Saint-Quentin-en, 2002.

C. Baudier, R. Dusséaux, K. S. Edee, and G. Granet, Scattering of a plane wave by one-dimensional dielectric random rough surfaces???study with the curvilinear coordinate method, Waves in Random Media, pp.61-74, 2004.
DOI : 10.1029/1998RS900027

K. A. Braham, R. Dusséaux, and G. Granet, Scattering of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces ??? study with the curvilinear coordinate method, soumis dans la revue Waves in Random and Complex Media
DOI : 10.1029/94RS00823
URL : https://hal.archives-ouvertes.fr/hal-00159089

C. Jeanperrin, Initiation progressive au calcul tensoriel, 1987.

C. E. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

D. Middleton, Statistical Communication Theory, 1960.
DOI : 10.1002/9781118161968

K. Pak, L. Tsang, C. H. Chan, and J. T. Johnson, Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations, Journal of the Optical Society of America A, vol.12, issue.11, pp.2491-2499, 1995.
DOI : 10.1364/JOSAA.12.002491

E. I. Thorsos, The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum, The Journal of the Acoustical Society of America, vol.83, issue.1, pp.78-92, 1988.
DOI : 10.1121/1.396188

D. Torrungrueng and J. T. Johnson, Numerical studies of backscattering enhancement of electromagnetic waves from two-dimensional random rough surfaces with the forward???backward/novel spectral acceleration method, Journal of the Optical Society of America A, vol.18, issue.10, pp.2518-2526, 2001.
DOI : 10.1364/JOSAA.18.002518

J. T. Johnson, L. Tsang, R. Shin, K. Pak, C. H. Chan et al., Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces: a comparison of Monte Carlo simulations with experimental data, IEEE Transactions on Antennas and Propagation, vol.44, issue.5, pp.748-756, 1996.
DOI : 10.1109/8.496261

K. Pak, L. Tsang, and J. T. Johnson, Numerical simulations and backscattering enhancement of electromagnetic waves from two-dimensional dielectric random rough surfaces with the sparse-matrix canonical grid method, Journal of the Optical Society of America A, vol.14, issue.7, pp.1515-1529, 1997.
DOI : 10.1364/JOSAA.14.001515

K. A. Braham, R. Dusséaux, O. Taconet, E. Vannier, and G. Granet, Scattering from Two-Dimensional Dielectric random surface -Effect of Roughness and Moisture of seedbed Surfaces upon the Bistatic Scattering Coefficient, The International Geoscience And Remote Sensing Symposium, pp.23-27

G. Soriano and M. Saillard, Scattering of electromagnetic waves from two-dimensional rough surfaces with an impedance approximation, Journal of the Optical Society of America A, vol.18, issue.1, pp.124-133, 2001.
DOI : 10.1364/JOSAA.18.000124

M. Saillard and D. Maystre, Scattering from random rough surfaces: a beam simulation method, Journal of Optics, vol.19, issue.4, pp.173-176, 1988.
DOI : 10.1088/0150-536X/19/4/004

R. L. Wagner, J. Song, and W. C. Chew, Monte Carlo simulation of electromagnetic scattering from two-dimensional random rough surfaces, IEEE Transactions on Antennas and Propagation, vol.45, issue.2, pp.235-245, 1997.
DOI : 10.1109/8.560342

L. Tsang, D. Chen, and P. Xu, Correction to ???Wave scattering with the UV multilevel partitioning method: 1. Two-dimensional problem of perfect electric conductor surface scattering???, Radio Science, vol.39, issue.6, pp.5010-5011, 2004.
DOI : 10.1029/2004RS003189

L. Tsang, Q. Li, D. Chen, P. Xu, and V. Jandhyala, Wave scattering with UV multilevel partitioning method: 2. Three-dimensional problem of nonpenetrable surface scattering, Radio Science, vol.39, issue.2, pp.5011-5012, 2004.
DOI : 10.1029/2003RS003010

H. D. Ngo and C. L. Rino, Application of beam simulation to scattering at low grazing angles: 1. Methodology and validation, Radio Science, vol.40, issue.6, pp.1365-1379, 1994.
DOI : 10.1029/94RS00823

H. D. Ngo and C. L. Rino, Application of beam simulation to scattering at low grazing angles -2 Oceanlike surfaces, Radio Sci, pp.1381-1391, 1924.

N. Morita, N. Kumagai, and J. R. Mautz, Integral equation methods for electromagnetics, 1990.

A. Ishimaru, Electromagnetic wave propagation, Radiation and scattering, 1991.

M. B. Faroux, Optique et physique ondulatoire, 1993.

K. , A. Braham, and R. Dusséaux, Analysis of the Scattering from Rough Surfaces with the C Method and the Short-Coupling Range Approximation, The 23rd Annual Review of Progress in Applied Computational Electromagnetics, Conference proceeding, pp.1880-1885, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00159241

N. Emad, S. Petiton, and G. Adjlali, Mutliple explicity restarted Arnoldi method for solving large eigenproblems

N. Emad, The Pad??-Rayleigh-Ritz method for solving large hermitian eigenproblems, Numerical Algorithms, vol.34, issue.1, pp.159-179, 1996.
DOI : 10.1007/BF02142494

J. A. Stratton, Electromagnetic theory, 1941.
DOI : 10.1002/9781119134640