B. Ambroise, La dynamique du cycle de l'eau dans un bassin versant : Processus, Facteurs, Modèles, p.200, 1999.

A. V. Auzet, M. J. Kirkby, V. Dijk, and P. , Surface characterisation for soil erosion forecasting, Catena, pp.77-78, 2005.

R. M. Axline and A. K. Fung, Numerical Computation of Scattering from a Perfectly Conducting Random Surface, IEEE Transactions On Antennas And Propagation, vol.26, 1978.

N. Baghdadi, M. Bernier, R. Gauthier, and I. Neeson, Evaluation of C-band SAR data for wetlands mapping, International Journal of Remote Sensing, vol.22, issue.1, pp.71-88, 2001.
DOI : 10.1080/014311601750038857

N. Baghdadi, I. Gherboudj, M. Zribi, M. Sahebi, C. King et al., Semi-empirical calibration of the IEM backscattering model using radar images and moisture and roughness field measurements, International Journal of Remote Sensing, vol.1, issue.18, pp.3593-3623, 2004.
DOI : 10.1016/S0034-4257(99)00097-8
URL : https://hal.archives-ouvertes.fr/hal-00145559

N. Baghdadi and M. Zribi, Evaluation of radar backscatter models IEM, OH and Dubois using experimental observations, International Journal of Remote Sensing, vol.11, issue.18, pp.3831-3852, 2006.
DOI : 10.1016/S0034-4257(96)00158-7
URL : https://hal.archives-ouvertes.fr/hal-00146190

N. Baghdadi, N. Holah, and M. Zribi, Calibration of the Integral Equation Model for SAR data in C???band and HH and VV polarizations, International Journal of Remote Sensing, vol.27, issue.4, pp.805-816, 2006.
DOI : 10.1016/S0034-4257(99)00097-8
URL : https://hal.archives-ouvertes.fr/hal-00146197

N. Baghdadi, M. Zribi, C. Loumagne, P. Ansart, P. Anguela et al., Analysis of TerraSAR-X data and their sensitivity to soil surface parameters over bare agricultural fields, Remote Sensing of Environment, vol.112, issue.12, pp.4370-4379, 2008.
DOI : 10.1016/j.rse.2008.08.004
URL : https://hal.archives-ouvertes.fr/hal-00473243

A. Beaudoin, L. Toan, T. Gwyn, and H. J. , SAR observations and modeling of the C-band backscatter variability due to multiscale geometry and soil moisture, IEEE Transactions on Geoscience and Remote Sensing, vol.28, issue.5, pp.886-894, 1990.
DOI : 10.1109/36.58978

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

R. Bindlish and A. P. Barros, Multifrequency Soil Moisture Inversion from SAR Measurements with the Use of IEM, Remote Sensing of Environment, vol.71, issue.1, pp.61-88, 2000.
DOI : 10.1016/S0034-4257(99)00065-6

R. Bindlish and A. P. Barros, Parameterization of vegetation backscatter in radar-based, soil moisture estimation, Remote Sensing of Environment, vol.76, issue.1, pp.130-137, 2001.
DOI : 10.1016/S0034-4257(00)00200-5

J. C. Birchak, J. Gardner, . Hipp, and J. Victor, High dielectric constant microwave probes for sensing soil moisture, Proc. IEEE, pp.93-98, 1974.
DOI : 10.1109/PROC.1974.9388

J. B. Boisvert, Q. H. Gwyn, A. Chanzy, D. J. Major, B. Brisco et al., Effect of surface soil moisture gradients on modelling radar backscattering from bare fields, International Journal of Remote Sensing, vol.18, issue.1, pp.153-170, 1997.
DOI : 10.1080/014311697219330

N. C. Brady and R. Weil, The Nature and Properties of Soils, 2001.

L. Bruckler, H. Wittono, and P. Stengel, Near surface soil moisture estimation from microwave measurements, Remote Sensing of Environment, vol.26, issue.2, pp.101-121, 1988.
DOI : 10.1016/0034-4257(88)90091-0

R. Bryant, M. S. Moran, D. P. Thoma, H. Collins, C. D. Skirvin et al., Measuring Surface Roughness Height to Parameterize Radar Backscatter Models for Retrieval of Surface Soil Moisture, IEEE Geoscience and Remote Sensing Letters, vol.4, issue.1, 2007.
DOI : 10.1109/LGRS.2006.887146

C. M. , C. K. , and A. K. Fung, A Study of the Validity of the Integral Equation Model by Moment Method Simulation-Cylindrical Case, Remote Sensing of Environment, vol.29, pp.217-228, 1989.

M. F. Chen and S. Y. Bai, Computer Simulation of Wave Scattering from a Dielectric Random Surface in Two Dimensions-Cylindrical Case, Journal of Electromagnetic Waves and Applications, vol.23, issue.2, pp.963-982, 1990.
DOI : 10.1163/156939390X00708

J. Chen, K. Y. Lo, H. Leung, and J. Litva, The Use of Fractals for Modeling EM Waves Scattering from Rough Sea Surface, IEEE Transactions On Geoscience and Remote Sensing, vol.34, issue.4, 1996.

K. S. Chen, T. D. Wu, M. Tsay, .. K. Fung, and A. K. , Note on the multiple scattering in an IEM model, IEEE Transactions on Geoscience and Remote Sensing, vol.38, issue.1, pp.249-256, 2000.
DOI : 10.1109/36.823917

K. S. Chen, T. D. Wu, L. Tsang, Q. Li, J. Shi et al., Emission of rough surfaces calculated by the integral equation method with comparison to three-dimensional moment method simulations, IEEE Transactions on Geoscience and Remote Sensing, vol.41, issue.1, pp.90-101, 2003.
DOI : 10.1109/TGRS.2002.807587

A. L. Cognard, C. Loumagne, M. Normand, P. Olivier, C. Ottlé et al., Evaluation of the ERS 1/Synthetic Aperture Radar Capacity to Estimate Surface Soil Moisture: Two-Year Results Over the Naizin Watershed, Water Resources Research, vol.25, issue.3, pp.975-982, 1995.
DOI : 10.1029/94WR03390

M. Davidson, L. Toan, T. Mattia, F. Satalino, G. Manninen et al., On the characterization of agricultural soil roughness for radar remote sensing studies, IEEE Transactions on Geoscience and Remote Sensing, vol.38, issue.2, pp.630-640, 2000.
DOI : 10.1109/36.841993

M. C. Dobson, F. T. Ulaby, M. T. Hallikainen, and M. S. El-rayes, Microwave Dielectric Behavior of Wet Soil-Part II: Dielectric Mixing Models, IEEE Transactions on Geoscience and Remote Sensing, vol.23, issue.1, pp.35-46, 1985.
DOI : 10.1109/TGRS.1985.289498

P. C. Dubois, J. Van-zyl, and T. Engman, Measuring soil moisture with imaging radars, IEEE Transactions on Geoscience and Remote Sensing, vol.33, issue.4, pp.915-926, 1995.
DOI : 10.1109/36.406677

E. T. Engman and N. Chauhan, Status of microwave soil moisture measurements with remote sensing, Remote Sensing of Environment, vol.51, issue.1, pp.189-198, 1995.
DOI : 10.1016/0034-4257(94)00074-W

G. Franceschetti, A. Iodice, S. Maddaluno, and D. Riccio, A fractal-based theoretical framework for retrieval of surface parameters from electromagnetic backscattering data, IEEE Transactions on Geoscience and Remote Sensing, vol.38, issue.2, pp.641-650, 2000.
DOI : 10.1109/36.841994

A. Fung and M. F. Chen, Numerical simulation of scattering from simple and composite random surfaces, Journal of the Optical Society of America A, vol.2, issue.12, 1985.
DOI : 10.1364/JOSAA.2.002274

A. K. Fung, Z. Li, and C. K. , Backscattering from a randomly rough dielectric surface, IEEE Transactions on Geoscience and Remote Sensing, vol.30, issue.2, pp.356-369, 1992.
DOI : 10.1109/36.134085

A. K. Fung, Microwave scattering and emission models and their applications, 1994.

A. K. Fung, J. Boisvert, and B. Brisco, Interpretation of radar measurements from rough soil surface with a permittivity profile, IGARSS'97. 1997 IEEE International Geoscience and Remote Sensing Symposium Proceedings. Remote Sensing, A Scientific Vision for Sustainable Development, pp.1376-1378
DOI : 10.1109/IGARSS.1997.606451

W. H. Gardner, Water content, Methods of soil analysis, Part 1, A. Klute, Agronomy, vol.9, pp.493-544, 1986.

M. T. Hallikainen, F. T. Ulaby, M. C. Dobson, M. El-rayes, and L. 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.2325-2359, 1985.
DOI : 10.1109/TGRS.1985.289497

R. F. Harrington, Field Computation by Moment Method, IEEE PRESS, 1968.
DOI : 10.1109/9780470544631

N. Holah, N. Baghdadi, M. Zribi, A. Bruand, and C. King, Potential of ASAR/ENVISAT for the characterization of soil surface parameters over bare agricultural fields, Remote Sensing of Environment, vol.96, issue.1, pp.78-86, 2005.
DOI : 10.1016/j.rse.2005.01.008
URL : https://hal.archives-ouvertes.fr/hal-00077118

A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, 1991.

T. J. Jackson, J. Schmugge, and E. T. Engman, Remote sensing applications to hydrology: soil moisture, Hydrological Sciences Journal, vol.16, issue.19, pp.517-530, 1996.
DOI : 10.1080/02626669609491523

Y. H. Kerr, P. Waldteufel, J. Wigneron, J. Font, and M. Berger, Soil moisture retrieval from space: the Soil Moisture and Ocean Salinity (SMOS) mission, IEEE Transactions on Geoscience and Remote Sensing, vol.39, issue.8, pp.39-1729, 2001.
DOI : 10.1109/36.942551

L. Hégarat-mascle, S. Zribi, M. Alem, F. Weisse, A. Loumagne et al., Soil moisture estimation from ERS/SAR data: toward an operational methodology, IEEE Transactions on Geoscience and Remote Sensing, vol.40, issue.12, pp.2647-2658, 2002.
DOI : 10.1109/TGRS.2002.806994

L. Méhauté and A. , Les Géométries Fractales, Hermes, Traité de nouvelles technologies, 1984.

L. Morvan, A. Zribi, M. Baghdadi, N. Chanzy, and A. , Soil Moisture Profile Effect on Radar Signal Measurement, Sensors, vol.8, issue.1, pp.256-270, 2008.
DOI : 10.3390/s8010256
URL : https://hal.archives-ouvertes.fr/hal-00320981

Q. Li, J. C. Shi, and C. K. , A generalized Power Law Spectrum and its Applications to the Backscattering of soil surfaces Based on the Integral Equation Model, IEEE Transactions On Geoscience and Remote Sensing, vol.40, issue.2, pp.271-281, 2002.

H. Lievens, H. Vernieuwe, J. Alvarez-mozos, D. Baets, B. Verhoest et al., Error in Radar-Derived Soil Moisture due to Roughness Parameterization: An Analysis Based on Synthetical Surface Profiles, Sensors, vol.9, issue.2, pp.1067-1093, 2009.
DOI : 10.3390/s90201067

J. M. Macaire, Etude sédimentologique des formations superficielles sue le tracé de l'autoroute A10 entre Artenay et Meung/Loire, Thèse 3 e cycle, p.pp, 1971.

B. Mandelbrot, Trad. : Les objets fractals. Forme, chance et dimension, 1984.

F. Mattia, L. Toan, T. Souyris, J. C. De-carolis, G. Floury et al., The effect of surface roughness on multifrequency polarimetric SAR data, IEEE Transactions on Geoscience and Remote Sensing, vol.35, issue.4, pp.915-926, 1997.
DOI : 10.1109/36.602537

F. Mattia, M. W. Davidson, L. Toan, T. D-'haese, C. M. Verhoest et al., A comparison between soil roughness statistics used in surface scattering models derived from mechanical and laser profilers, IEEE Transactions on Geoscience and Remote Sensing, vol.41, issue.7, pp.1659-1671, 2003.
DOI : 10.1109/TGRS.2003.813359

M. S. Moran, D. C. Hymer, J. Qi, and E. E. Sano, Soil moisture evaluation using multi-temporal synthetic aperture radar (SAR) in semiarid rangeland, Agricultural and Forest Meteorology, vol.105, issue.1-3, pp.69-80, 2000.
DOI : 10.1016/S0168-1923(00)00189-1

M. S. Moran, C. D. Peters-lidard, J. M. Watts, and S. Mcelroy, Estimating soil moisture at the watershed scale with satellite-based radar and land surface models, Canadian Journal of Remote Sensing, vol.204, issue.2, pp.805-826, 2004.
DOI : 10.5589/m04-043

J. P. Nougier, Méthodes de calcul numérique, 1987.

Y. Oh, K. Sarabandi, and F. T. Ulaby, An empirical model and an inversion technique for radar scattering from bare soil surfaces, IEEE Transactions on Geoscience and Remote Sensing, vol.30, issue.2, pp.370-381, 1992.
DOI : 10.1109/36.134086

Y. Oh and K. Y. , Condition for precise measurement of soil surface roughness, IEEE Transactions On Geoscience and Remote Sensing, vol.36, issue.2, pp.691-695, 1998.

N. R. Peplinsky, F. T. Ulaby, and M. C. Dobson, Dielectric properties of soils in the 0.3-1.3-GHz range, IEEE Transactions on Geoscience and Remote Sensing, vol.33, issue.3, pp.803-807, 1995.
DOI : 10.1109/36.387598

N. R. Peplinsky, F. T. Ulaby, and M. C. Dobson, Corrections to "Dielectric Properties of Soils in the 0.3-1.3-GHz Range", IEEE Transactions on Geoscience and Remote Sensing, vol.33, issue.6, p.1340, 1995.
DOI : 10.1109/TGRS.1995.477193

W. Pitz and D. Miler, The TerraSAR-X Satellite, IEEE Transactions on Geoscience and Remote Sensing, vol.48, issue.2, pp.615-622, 2010.
DOI : 10.1109/TGRS.2009.2037432

A. Quesney, L. Hégarat-mascle, S. Taconet, O. Vidal-madjar, D. Wigneron et al., Estimation of Watershed Soil Moisture Index from ERS/SAR Data, Remote Sensing of Environment, vol.72, issue.3, pp.290-303, 2000.
DOI : 10.1016/S0034-4257(99)00102-9

L. Rakotoarivony, Validation de Modèles de Diffusion Electromagnétique : Comparaison entre Simulations et Mesures par Radar Héliporté sur des, 1995.

L. Rakotoarivony, O. Taconet, D. Vidal-madjar, P. Bellemain, and M. Benallègue, Radar backscattering over agricultural bare soils, Journal of Electromagnetic Waves and Applications, vol.10, issue.1, pp.187-209, 1996.
DOI : 10.1163/156939396X00964

S. O. Rice, Reflection of electromagnetic waves from slightly rough surfaces, Communications in pure and applied mathematics, pp.361-378, 1951.
DOI : 10.1002/cpa.3160040206

E. Roose, Méthodes de mesure des états de surface du sol, de la rugosité et des autres caractéristiques qui peuvent aider au diagnostic de terrain des risques de ruissellement et d'érosion, en particulier sur les versants cultivés des montagnes, 1996.

A. Rosenqvist, M. Shimada, and M. Watanabe, ALOS PALSAR: Technical outline and mission concepts, 4th International Symposium on Retrieval of Bio-and Geophysical Parameters from SAR Data for Land ApplicationsInnsbruck, Austria, 2004.

S. Rouvier, P. Borderies, I. Chenerie, J. C. Souyris, L. Toan et al., Fractal analysis of bidimensional profiles and application to electromagnetic scattering from soils, IGARSS '96. 1996 International Geoscience and Remote Sensing Symposium, p.96
DOI : 10.1109/IGARSS.1996.516924

S. Rouvier, E. Bachelier, P. Borderies, I. Chenerie, J. C. Souyris et al., Electromagnetic scattering and fractal analysis of bare soil surfaces, IGARSS'97. 1997 IEEE International Geoscience and Remote Sensing Symposium Proceedings. Remote Sensing, A Scientific Vision for Sustainable Development, p.97
DOI : 10.1109/IGARSS.1997.608975

M. Saillard, Etude Théorique et Numérique de la Diffraction de la Lumière par des Surfaces Rugueuses Diélectriques et Conductrices, Thèse de l'Université, 1990.

K. Schneeberger, M. Schwank, C. Stamm, P. De-rosnay, C. Matzler et al., Topsoil Structure Influencing Soil Water Retrieval by Microwave Radiometry, Topsoil Structure Influencing Soil Water Retrieval by Microwave Radiometry, pp.1169-1179, 2004.
DOI : 10.2136/vzj2004.1169

J. Shi, J. Wang, A. Y. Hsu, P. E. O-'neill, and T. Engmann, Estimation of Bare Surface Soil Moisture and Surface Roughness Parameter Using L-Band SAR Image Data, IEEE Transactions On Geoscience and Remote Sensing, vol.35, issue.5, pp.1254-1265, 1997.

A. Sihvola, Electromagnetic mixing formulas and applications, IEEE Electromagnetic Waves Series. IEEE, p.47, 1999.
DOI : 10.1049/PBEW047E

Z. Su, P. A. Troch, and F. P. De-troch, Estimation of surface soil moisture by inversion of Synthetic Aperture Radar data, Surface Scattering from random rough, bare soils, Spatial and temporal soil moisture mapping from ERS-1/2 and JERS-1 SAR data and microscale hydrologic modelling for regional climate models (RCM), 1997.

O. Taconet, D. Vidal-madjar, C. Emblanch, and N. M. , Taking into account vegetation effects to estimate soil moisture from C-band radar measurements, Remote Sensing of Environment, vol.56, issue.1, pp.52-56, 1996.
DOI : 10.1016/0034-4257(95)00212-X

G. C. Topp, J. L. Davis, and A. P. Annan, Electromagnetic determination of soil water content: Measurements in coaxial transmission lines, Water Resources Research, vol.16, issue.2, pp.574-582, 1980.
DOI : 10.1029/WR016i003p00574

F. T. Ulaby, P. P. Batlivala, and M. C. Dobson, Microwave Backscatter Dependence on Surface Roughness, Soil Moisture, and Soil Texture: Part I-Bare Soil, IEEE Transactions on Geoscience Electronics, vol.16, issue.4, pp.16-286, 1978.
DOI : 10.1109/TGE.1978.294586

F. T. Ulaby, R. K. Moore, and A. K. Fung, Microwave Remote Sensing: Active and Passive, Microwave Remote Sensing Fundamentals and Radiometry, p.456, 1981.

F. T. Ulaby, R. K. Moore, and A. K. Fung, Microwave Remote Sensing: Active and Passive II --Radar Remote Sensing and Surface Scattering and Emission Theory, 1982.

F. T. Ulaby, R. K. Moore, and A. K. Fung, Microwave Remote Sensing: Active and Passive III --Volume Scattering and Emission Theory, Advanced Systems and Applications, p.1100, 1986.

F. T. Ulaby, P. C. Dubois, and J. Van-zyl, Radar mapping of surface soil moisture, Journal of Hydrology, vol.184, issue.1-2, pp.57-84, 1996.
DOI : 10.1016/0022-1694(95)02968-0

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

J. Wang and T. J. Schmugge, An Empirical Model for the Complex Dielectric Permittivity of Soils as a Function of Water Content, IEEE Transactions on Geoscience and Remote Sensing, vol.18, issue.4, pp.288-295, 1980.
DOI : 10.1109/TGRS.1980.350304

J. R. Wang, A. Hsu, J. C. Shi, P. E. O-'neill, and E. T. Engman, A comparison of soil moisture retrieval models using SIR-C measurements over the little Washita River watershed, Remote Sensing of Environment, vol.59, issue.2, pp.308-320, 1997.
DOI : 10.1016/S0034-4257(96)00145-9

A. Weimann, V. Schonermark, M. Schumann, A. Jorm, P. Gunter et al., Soil moisture estimation with ERS-1 SAR data in the East-German loess soil area, International Journal of Remote Sensing, vol.19, issue.2, pp.237-243, 1998.
DOI : 10.1080/014311698216224

T. D. Wu, K. S. Chen, J. Shi, and A. K. Fung, A transition model for the reflection coefficient in surface scattering, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174), pp.2040-2050, 2001.
DOI : 10.1109/IGARSS.1998.702218

M. Zribi, O. Taconet, L. Hégarat-mascle, S. Vidal-madjar, D. Emblanch et al., Backscattering behavior and simulation comparison over bare soils using SIR-C/X-SAR and ERASME 1994 data over Orgeval, Remote Sensing of Environment, vol.59, issue.2, pp.256-266, 1997.
DOI : 10.1016/S0034-4257(96)00158-7

M. Zribi, Développement de nouvelle méthode de modélisation de la rugosité pour la rétrodiffusion hyperfréquence de la surface du sol, Thèse de 3 ème cycle, 1998.

M. Zribi, V. Ciarletti, and O. Taconet, Validation of a rough surface model based on fractional Brownian geometry with SIRC and ERASME radar data over Orgeval site, pp.65-72, 2000.

M. Zribi, V. Ciarletti, O. Taconet, J. Paillé, P. Boissard et al., 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. Zribi and M. Dechambre, An new empirical model to retrieve soil moisture and roughness from Radar Data, Remote Sensing of Environment, pp.42-52, 2002.

M. Zribi, N. Baghdadi, N. Holah, O. Fafin, and C. Guérin, Evaluation of a rough soil surface description with ASAR-ENVISAT radar data, Remote Sensing of Environment, vol.95, issue.1, pp.67-76, 2005.
DOI : 10.1016/j.rse.2004.11.014
URL : https://hal.archives-ouvertes.fr/hal-00145827

M. Zribi, N. Baghdadi, N. Holah, and O. Fafin, New methodology for soil surface moisture estimation and its application to ENVISAT-ASAR multi-incidence data inversion, Remote Sensing of Environment, vol.96, issue.3-4, pp.485-496, 2005.
DOI : 10.1016/j.rse.2005.04.005
URL : https://hal.archives-ouvertes.fr/hal-00151499

M. Zribi, S. Saux-picart, C. André, L. Descroix, O. Ottlé et al., Soil moisture mapping based on ASAR/ENVISAT radar data over a Sahelian region, International Journal of Remote Sensing, vol.28, issue.16, pp.3547-3565, 2006.
DOI : 10.1016/j.rse.2005.04.005

M. Zribi, Télédétection micro-ondes pour l'estimation des états de surfaces continentales, 2006.

M. Zribi, C. André, and B. Decharme, A Method for Soil Moisture Estimation in Western Africa Based on the ERS Scatterometer, IEEE Transactions on Geoscience and Remote Sensing, vol.46, issue.2, pp.438-448, 2008.
DOI : 10.1109/TGRS.2007.904582

M. Zribi, L. Morvan, A. Baghdadi, and N. , Dielectric Constant Modelling with Soil???Air Composition and Its Effect on Sar Radar Signal Backscattered over Soil Surface, Sensors, vol.8, issue.11, pp.6810-6824, 2008.
DOI : 10.3390/s8116810
URL : https://hal.archives-ouvertes.fr/hal-00364137

M. Zribi, L. Morvan, A. Dechambre, M. Baghdadi, and N. , Numerical Backscattering Analysis for Rough Surfaces Including a Cloddy Structure, IEEE Transactions on Geoscience and Remote Sensing, vol.48, issue.5, 2009.
DOI : 10.1109/TGRS.2009.2038710
URL : https://hal.archives-ouvertes.fr/hal-00477672