Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By R. Dusseaux, E. Vannier, O. Taconet, and G. Granet

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We propose a 3D-approach of the soil surface height variations, either for the roughness characterization by the mean of the bidimensional correlation function, or as input of a backscattering model. We consider plots of 50\,cm by 50\,cm and two states of roughness of seedbed surfaces: an initial state just after tillage and a second state corresponding to the soil roughness evolution under a rainfall event. We show from stereovision data that the studied surfaces can be modelled as isotropic Gaussian processes. We study the change of roughness parameters between the two states. To discuss the relevance of their differences, we find from Monte-Carlo simulations the bias and variance of estimator for each roughness parameters. We study the roughness and moisture combined influences upon the direct backscattering coefficients by means of an exact method based on Maxwell's equations written in a nonorthogonal coordinate system and by averaging the scattering amplitudes over several realizations. We discuss results taking into account the numerical errors and the precision of radar. We show that the ability of the radar to discriminate the different states of seedbed surfaces is clearly linked to its precision.

R. Dusseaux, E. Vannier, O. Taconet, and G. Granet, "Study of Backscatter Signature for Seedbed Surface Evolution Under Rainfall --- Influence of Radar Precision," Progress In Electromagnetics Research, Vol. 125, 415-437, 2012.

1. Chandezon, J., D. Maystre, and G. Raoult, "A new theoretical method for diffraction gratings and its numerical application," J. Optics (Paris), Vol. 11, No. 4, 235-241, 1980.

2. Li, L. and J. Chandezon, "Improvement of the coordinate transformation method for surface-relief gratings with sharp edges," J. Opt. Soc. Am. A, Vol. 13, No. 11, 2247-2255, 1996.

3. Granet, G., "Analysis of diffraction by surface-relief crossed gratings with use of the Chandezon method: Application to multilayer crossed gratings," J. Opt. Soc. Am. A, Vol. 15, No. 5, 1121-1131, 1998.

4. Dusséaux, R. 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, 289-317, 2002.

5. Baudier, C., R. Dusséaux, K. S. Edee, and G. Granet, "Scattering of a plane wave by one-dimensional dielectric random surfaces --- Study with the curvilinear coordinate method," Waves Random Media, Vol. 14, No. 1, 61-74, 2004.

6. Aït Braham, K., R. Dusséaux, and G. Granet, "Scattering of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces --- Study with the curvilinear coordinate method," Waves Random Complex Media, Vol. 18, No. 2, 255-274, 2008.

7. Dusséaux, R., K. Aït Braham, and G. Granet, "Implementation and validation of the curvilinear coordinate method for the scattering of electromagnetic waves from two-dimensional dielectric random rough surfaces," Waves Random Complex Media, Vol. 18, No. 4, 551-570, 2008.

8. Marchand, R. T. and G. S. Brown, "On the use of finite surfaces in the numerical prediction of rough surface scattering," IEEE Trans. Antennas and Prop., Vol. 47, No. 4, 600-604, 1999.

9. Taconet, O. and V. Ciarletti, "Estimating soil roughness indices on a ridge-and-furrow surface using stereo photogrammetry," Soil and Tillage Research, Vol. 93, No. 1, 64-76, 2007.

10. Fung, A. K., Z. Li, and K. S. Chen, "Backscattering from a randomly rough dielectric surface," IEEE Trans. Geosci. Remote Sens., Vol. 30, No. 3, 356-369, 1992.

11. Franceschetti, G. and D. Riccio, Scattering, Natural Surfaces and Fractals, Elsevier, 2007.

12. Voronovich, G., Wave Scattering from Rough Surfaces, Springer, Berlin, 1994.

13. Taconet, O., E. Vannier, and S. Le Hégarat-Mascle, "A contour-based approach for clods identification and characterization on a soil surface," IEEE Trans. Geosci. Remote Sensing, Vol. 46, No. 12, 4050-4061, 2008.

15. Marzahn, P. and R. Ludwig, "On the derivation of soil surface roughness from multi parametric PolSAR data and its potential for hydrological modelling," Hydrology Earth System Sciences, Vol. 13, No. 6, 381-394, 2009.

16. Wu, S. C., M. F. Chen, and A. K. Fung, "Scattering from non-Gaussian randomly rough surfaces --- Cylindrical case," IEEE Trans. Geosci. Remote Sensing, Vol. 26, No. 6, 790-798, 1988.

17. Fung, A. K. and M. F. Chen, "Numerical simulation of scattering from simple and composite surface," J. Opt. Soc. Am. A, Vol. 2, No. 12, 2274-2283, 1985.

18. Wang, J. R. and T. J. Schmugge, "An empirical model for the complex dielectric permittivity of soils as a function of water content," IEEE Trans. Geosci. Remote Sensing, Vol. 18, No. 4, 288-295, 1980.

19. Tsang, L., J. A. Kong, K. H. Ding, and C. O. Ao, Scattering of Electromagnetic Waves --- Numerical Simulations, Wiley-Interscience, New-York, 2001.

20. Thorsos, E. I., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am. A, Vol. 82, No. 4, 78-92, 1989.

21. Johnson, J. T., "Surface currents induced on a dielectric half-space by a Gaussian beam: An extended validation for point matching method of moment codes," Radio Sci., Vol. 32, No. 3, 923-934, 1997.

22. Spiga, P., G. Soriano, and M. Saillard, "Scattering of electromagnetic waves from rough surfaces: A boundary integral method for low-grazing angles," IEEE Trans. Antennas and Prop., Vol. 56, No. 7, 2043-2050, 2008.

23. Li, J., L.-X. Guo, and H. Zeng, "FDTD method investigation on the polarimetric scattering from 2-D rough surface," Progress In Electromagnetics Research, Vol. 101, 173-188, 2010.

24. Guo, L.-X., Y. Liang, J. Li, and Z.-S. Wu, "A high order integral SPM for the conducting rough surface scattering with the tapered wave incidence-TE case," Progress In Electromagnetics Research, Vol. 114, 333-352, 2011.

25. Zribi, M. and M. Dechambre, "A new emperical model to retrieve soil moisture and roughness from C-band radar data," Remote Sensing Env., Vol. 84, 42-52, 2002.

26. Singh, D. and A. Kathpalia, "An efficient modeling with GA approach to retrieve soil texture moisture and roughness from ERS-2 SAR data," Progress In Electromagnetics Research, Vol. 77, 121-136, 2007.

27. Mittal, G. and D. Singh, "Critical analysis of microwave scattering response on roughness parameter and moisture content for periodic rough surfaces and its retrieval," Progress In Electromagnetics Research, Vol. 100, 129-152, 2010.

28. Prakash, R., D. Singh, and N. P. Pathak, "The effect of soil texture in soil moisture retrieval for specular scattering at C-band," Progress In Electromagnetics Research, Vol. 108, 177-204, 2010.

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