A new soil roughness parameter for the modelling of radar backscattering over bare soil

In this paper, a new description of soil surface roughness is proposed for microwave applications. This is based on an original roughness parameter, Zg, which combines the three most commonly used soil parameters: root mean surface height, correlation length, and correlation function shape, into just one parameter. Numerical modelling, based on the moment method and integral equations, is used to evaluate the relevance of this approach. It is applied over a broad dataset of numerically generated surfaces characterised by a large range of surface roughness parameters. A strong correlation is observed between this new parameter and the radar backscattering simulations, for the HH and VV polarizations in the C and X bands. It is proposed to validate this approach using data acquired in the C and X bands, at several agricultural sites in France. It was found that the parameter Zg has a high potential for the analysis of surface roughness using radar measurements. An empirical model is proposed for the simulation of backscattered radar signals over bare soil.

[1]  F. Mattia,et al.  Backscattering Properties of Multi-Scale Rough Surfaces , 1999 .

[2]  Jiancheng Shi,et al.  Estimation of bare surface soil moisture and surface roughness parameter using L-band SAR image data , 1997, IEEE Trans. Geosci. Remote. Sens..

[3]  M. Zribi,et al.  Validation of a rough surface model based on fractal Brownian geometry with SIRC and ERASME data over Orgeval , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[4]  A. Fung Microwave Scattering and Emission Models and their Applications , 1994 .

[5]  M. Sahebi,et al.  Semi-empirical calibration of the IEM backscattering model using radar images and moisture and roughness field measurements , 2004 .

[6]  Mehrez Zribi,et al.  Numerical Backscattering Analysis for Rough Surfaces Including a Cloddy Structure , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Adrian K. Fung,et al.  Backscattering from a randomly rough dielectric surface , 1992, IEEE Trans. Geosci. Remote. Sens..

[8]  Richard K. Moore,et al.  Microwave Remote Sensing, Active and Passive , 1982 .

[9]  Mehrez Zribi,et al.  Evaluation of a rough soil surface description with ASAR-ENVISAT radar data , 2005 .

[10]  Niko E. C. Verhoest,et al.  Effective roughness modelling as a tool for soil moisture retrieval from C-and L-band SAR , 2010 .

[11]  Malcolm Davidson,et al.  On the characterization of agricultural soil roughness for radar remote sensing studies , 2000, IEEE Trans. Geosci. Remote. Sens..

[12]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[13]  Monte Carlo simulations of backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces and comparison with experimental data , 1995, IEEE Antennas and Propagation Society International Symposium. 1995 Digest.

[14]  Mehrez Zribi,et al.  A Method for Soil Moisture Estimation in Western Africa Based on the ERS Scatterometer , 2008, IEEE Transactions on Geoscience and Remote Sensing.

[15]  Mehrez Zribi,et al.  Semiempirical Calibration of the Integral Equation Model for SAR Data in C-Band and Cross Polarization Using Radar Images and Field Measurements , 2011, IEEE Geoscience and Remote Sensing Letters.

[16]  G. Soriano,et al.  Scattering by two-dimensional rough surfaces: comparison between the method of moments, Kirchhoff and small-slope approximations , 2002 .

[17]  Bernard De Baets,et al.  Error in Radar-Derived Soil Moisture due to Roughness Parameterization: An Analysis Based on Synthetical Surface Profiles , 2009, Sensors.

[18]  J. Ogilvy,et al.  Theory of Wave Scattering From Random Rough Surfaces , 1991 .

[19]  S. Jacquemoud,et al.  An advanced photogrammetric method to measure surface roughness: Application to volcanic terrains in the Piton de la Fournaise, Reunion Island , 2013 .

[20]  Qin Li,et al.  A generalized power law spectrum and its applications to the backscattering of soil surfaces based on the integral equation model , 2002, IEEE Trans. Geosci. Remote. Sens..

[21]  Pascale C. Dubois,et al.  Measuring soil moisture with imaging radars , 1995, IEEE Trans. Geosci. Remote. Sens..

[22]  Chuan Yi Tang,et al.  A 2.|E|-Bit Distributed Algorithm for the Directed Euler Trail Problem , 1993, Inf. Process. Lett..

[23]  Adrian K. Fung,et al.  Numerical simulation of scattering from simple and composite random surfaces , 1985 .

[24]  M. F. Chen,et al.  Computer simulation of wave scattering from a dielectric random surface in two dimensions: cylindrical case , 1990 .

[25]  Mehrez Zribi,et al.  Calibration of the Integral Equation Model for SAR data in C‐band and HH and VV polarizations , 2006 .

[26]  Malcolm Davidson,et al.  Parameterization of tillage-induced single-scale soil roughness from 4-m profiles , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[27]  Wolfgang Wagner,et al.  On the Soil Roughness Parameterization Problem in Soil Moisture Retrieval of Bare Surfaces from Synthetic Aperture Radar , 2008, Sensors.

[28]  A. Fung,et al.  A transition model for the reflection coefficient in surface scattering , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[29]  Arnaud Mialon,et al.  Evaluating the Semiempirical $H$– $Q$ Model Used to Calculate the L-Band Emissivity of a Rough Bare Soil , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[30]  Mehrez Zribi,et al.  Validation of a rough surface model based on fractional Brownian geometry with SIRC and ERASME radar data over Orgeval , 2000 .

[31]  Akira Ishimaru,et al.  Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces: a comparison of Monte Carlo simulations with experimental data , 1996 .

[32]  Yisok Oh,et al.  Condition for precise measurement of soil surface roughness , 1998, IEEE Trans. Geosci. Remote. Sens..

[33]  Qin Li,et al.  Emission of rough surfaces calculated by the integral equation method with comparison to three-dimensional moment method simulations , 2003, IEEE Trans. Geosci. Remote. Sens..

[34]  Kamal Sarabandi,et al.  An empirical model and an inversion technique for radar scattering from bare soil surfaces , 1992, IEEE Trans. Geosci. Remote. Sens..

[35]  M. Davidson,et al.  An analytical, numerical, and experimental study of backscattering from multiscale soil surfaces , 2001 .

[36]  M. Zribi,et al.  A new empirical model to retrieve soil moisture and roughness from C-band radar data , 2003 .

[37]  D. Vidal-Madjar,et al.  Backscattering behavior and simulation comparison over bare soils using SIR-C/X-SAR and ERASME 1994 data over Orgeval , 1997 .