volume | PIER Journals

Abstract

In this paper, a statistical approach to evaluate randomly rough surfaces (RRS) in an inverse scattering problem is presented. Whereas in these investigations the roughness criterions possess random variables, the use of deterministic techniques such as the target decomposition (TD) can not be useful by itself as a tool of analysis. In these conditions, a statistical approach is essentially required to evaluate the target parameters. The goal of this study is the estimation of the polarimetric signatures, such as the scattering mechanism α and the entropy H, via a novel approach including the combination of TD and a new statistical model. To validate our work, SAR data sets, provided by the European Space Agency (ESA), are analyzed and compared with the simulation results.

1. Storvold, R., E. Malnes, Y. Larsen, and K. A. Hgda, "SAR remote sensing of snow parameters in Norwegian areas current status and future perspective," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1751-1759, 2006.
doi:10.1163/156939306779292192

2. Chen, X., D. Liang, and K. Huang, "Microwave imaging 3-D buried objects using parallel genetic algorithm combined with FDTD technique," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1761-1774, 2006.
doi:10.1163/156939306779292264

3. Vulpiani, G. and F. S. Marzano, "Polarimetric weather radar retrieval of raindrop size distribution by means of a regularized artificial neural network," IEEE Geosci. and Remote Sens. Letters, 44-11, 2006.

4. Cloude, S. R. and E. Pottier, "A review of target decomposition theorems in radar polarimetry," IEEE Trans. Goesci. Remote Sensing, Vol. 34, No. 2, 498-518, 1996.
doi:10.1109/36.485127

5. Pottier, E. and J. S. Lee, "Unsupervised classification of Pol-SAR images based on the complex Wishart distribution and the H/A/α polarimetric decomposition theorem," Proc. EUSAR, Munich, 2000.

6. Hajnsek, I., E. Pottier, and S. R. Cloude, "Inversion of surface parameters from polarimetric SAR," IEEE Trans. Goesci. Remote Sensing, Vol. 41, No. 4, 727-744, 2003.
doi:10.1109/TGRS.2003.810702

7. Wang, P. and Y. Xie, "Scattering and radiation problem of surface/subsurface junction structure with multilevel fast multiple algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2189-2200, 2006.
doi:10.1163/156939306779322567

8. Bourlier, C. and G. Berginc, "Microwave analytical backscattering models from randomly rough anisotropic sea surface comparison with experimental data in C and Ku-bands," Progress In Electromagnetics Research, Vol. 37, 31-78, 2002.
doi:10.2528/PIER0110080a

9. Kuo, C. and M. Moghaddam, "Scattering from multilayer rough surfaces based on the extended boundary condition method and truncated singular value decomposition," IEEE Trans. on Antennas and Propagation, Vol. 54, No. 10, Oct. 2006.
doi:10.1109/TAP.2006.882160

10. Rigling, B. D. and R. L. Moses, "Three-dimensional surface reconstruction from multistatic SAR images," IEEE Trans. on Image Processing, Vol. 14, No. 8, 2005.
doi:10.1109/TIP.2005.851690

11. Fung, A. K. and N. C. Kuo, "Backscattering from multi-scale and exponentially correlated surfaces," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 3-11, 2006.
doi:10.1163/156939306775777378

12. Charnotskii, M. I., "Wave scattering by periodic surface at low grazing angles: Single grazing mode," Progress In Electromagnetics Research, Vol. 26, 1-41, 2000.
doi:10.2528/PIER99060505

13. Martinez, C. L. and E. Pottier, "Statistical assessment of eigenvector-based target decomposition theorems in radar polarimetry," IEEE Trans. Goesci. Remote Sensing, Vol. 43, No. 9, 2005.
doi:10.1109/TGRS.2005.856141

14. Lee, J. S., M. R. Grunes, D. L. Schuler, E. Pottier, and L. F. Famil, "Scattering-model-based speckle filtering of polarimetric SAR data," IEEE Trans. Geosci. Remote Sensing, Vol. 44, No. 1, 2006.
doi:10.1109/TGRS.2006.879107

15. Granet, G., K. Edee, and D. Felbacq, "Scattering of a plane wave by rough surfaces: A new curvilinear coordinate system based approach," Progress In Electromagnetics Research, Vol. 37, 235-250, 2002.
doi:10.2528/PIER02032100

16. Cocheril, Y. and R. Vauzelle, "A new ray-tracing based wave propagation model including rough surfaces scattering," Progress In Electromagnetics Research, Vol. 75, 357-381, 2007.
doi:10.2528/PIER07061202

17. Baudier, C. and R. Dusseaux, "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, 1-27, 2001.
doi:10.2528/PIER01010501

18. Berginc, G., "Small-slope approximation method: A further study of vector wave scattering from two-dimensional surfaces and comparison with experimental data," Progress In Electromagnetics Research, Vol. 37, 251-287, 2002.
doi:10.2528/PIER02070603

19. Ishimaru, A., C. Le, Y. Kuga, L. A. Sengers, and T. K. Chan, "Polarimetric scattering theory for high slope rough surface," Progress In Electromagnetics Research, Vol. 14, 1-36, 1996.

20. Ulaby, F. T., R. K. Moore, and A. K. Fung, Microwave Remote Sensing, Vol. 2, Artech House, 1982.

Dr. Bijan Zakeri

Dr. Ayaz Ghorbani

Dr. Hamid Reza Amin Davar