volume | PIER Journals

Abstract

A rigorous fast numerical method called E-PILE+SMCG is introduced and then used in a Monte Carlo study of scattering from a three dimensional perfectly electrical conductor (PEC) object below lossy soil rough surface. This method is the three dimensional (3D) extendability of PILE (Propagation-Inside-Layer Expansion) method which is proposed for two dimensional (2D) scattering problem. The rough surface with Gaussian profile is used to emulate the realistic situation of statistically rough surface, while the tapered incident wave is chosen to reduce the truncation error. The 3D angular correlation function (ACF) and bistatic scattering coefficient (BSC) are studied and applied to the detection of a target embedded in the clutter. The ACF is computed by using numerical method with circular azimuthal angle averaging technique. Because of its success in suppressing the clutter scattering, the technique appears attractive in real life implementation.

1. Zhang, Y., Y. E. Yang, H. Braunisch, and J. A. Kong, "Electromagnetic wave interaction of conducting object with rough surface by hybrid SPM/MOM technique," Progress In Electromagnetic Research, Vol. 22, 315-335, 1999.
doi:10.2528/PIER98112506

2. Ishimaru, A., J. D. Rockway, and Y. Kuga, "Rough surface Green's function based on the first-order modified perturbation and smoothed diagram methods," Waves Random Media, Vol. 10, 17-31, 2000.
doi:10.1088/0959-7174/10/1/302

3. O'Neill, K., R. F. Lussky, and K. D. Paulsen, "Scattering from a metallic object embedded near the randomly rough surface of a lossy dielectric," IEEE Trans. Geosci. Remote Sensing, Vol. 34, 367-376, 1996.
doi:10.1109/36.485114

4. O'Neill, K., "Broadband bistatic coherent and incoherent detection of buried objects beneath randomly rough surfaces," IEEE Trans. Geosci. Remote Sensing, Vol. 38, 891-898, 2000.
doi:10.1109/36.841972

5. O'Neill, K., "Exploration of innovative radar sensing schemes for subsurface object detection," Proc. IGARSS'97, 1135-1137, Singapore, 1997.

6. Dogaru, T. and L. Carin, "Time-domain sensing of targets buried under a rough air-ground interface," IEEE Trans. Antennas Propagat., Vol. 46, 360-372, 1998.
doi:10.1109/8.662655

7. Johnson, J. T. and R. J. Burkholder, "A study of scattering from an object below a rough surface," IEEE Trans. Geosci. Remote Sensing, Vol. 42, 59-66, 2004.
doi:10.1109/TGRS.2003.815670

8. El-Shenawee, M., C. M. Rappaport, E. L. Miller, and M. B. Silevitch, "Three-dimensional subsurface analysis of electromagnetic scattering from penetrable/PEC objects buried under rough surfaces: Use of the steepest descent fast multipole method," IEEE Trans. Geosci. Remote Sensing, Vol. 39, 1174-1182, 2001.
doi:10.1109/36.927436

9. Tsang, L., J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations, New York, 2000.
doi:10.1002/0471224308

10. Tsang, L., C. H. Chang, and H. Sangani, "A banded matrix iterative approach to monte carlo simulations of scattering of waves by large scale random rough surface problems: TM case," Electron. Lett., Vol. 29, 1666-1667, 1993.
doi:10.1049/el:19931109

11. Tsang, L., C. H. Chang, H. Sangani, A. Ishimaru, and P. Phu, "A banded matrix iterative approach to monte carlo simulations of large-scale random rough surface scattering: TE case," Journal of Electromagnetic Waves and Applications, Vol. 7, No. 9, 1185-1200, 1993.
doi:10.1163/156939393X00200

12. Torrungrueng, D., H. T. Chou, and J. T. Johnson, "A novel acceleration algorithm for the computation of scattering from two-dimensional large scale perfectly conducting random rough surfaces with the forward backward mehod," IEEE Trans. Geosci. Remote Sensing, Vol. 38, 1656-1668, 2000.
doi:10.1109/36.851965

13. Jandhyala, V., E. Michielssen, S. Balasubramaniam, and W. C. Chew, "A combined steepest descent fast multipole algorithm for the fast analysis of three-dimensional scattering by rough surfaces," IEEE Trans. Geosci. Remote Sensing, Vol. 36, 738-747, 1998.
doi:10.1109/36.673667

14. Ji, W.-J. and C.-M. Tong, "Bistatic scattering from two-dimensional dielectric ocean rough surface with a PEC object partially embedded by using the G-SMCG method," Progress In Electromagnetics Research, Vol. 105, 119-139, 2010.
doi:10.2528/PIER10041101

15. Déchamps, N., N. De Beaucoudrey, C. Bourlier, and S. Toutain, "Fast numerical method for electromagnetic scattering by rough layered interfaces: Propagation-Inside-Layer expansion method," J. Opt. Soc. Amer. A, Vol. 23, 359-369, 2006.
doi:10.1364/JOSAA.23.000359

16. Bourlier, C., G. Kubické, and N. Déchamps, "A fast method to compute scattering by a buried object under a randomly rough surface: PILE combined to FB-SA," J. Opt. Soc. Amer. A, Vol. 25, 891-902, 2008.
doi:10.1364/JOSAA.25.000891

17. Le, C. T. C., Y. Kuga, and A. Ishimaru, "Angular correlation function based on the second-order Kirchhoff approximation and comparison with experiments," J. Opt. Soc. Amer. A, Vol. 13, 1057-1066, 1996.
doi:10.1364/JOSAA.13.001057

18. Kuga, Y., C. Lee, A. Eshimaru, and L. Aies-Sengers, "Analytical, experimental and numerical studies of angular memory signatures of waves scattered from one-dimensional rough surfaces," IEEE Trans. Geosci. Remote Sensing, Vol. 34, 1300-1307, 1996.
doi:10.1109/36.544555

19. Feng, S., C. Kane, P. A. Lee, and A. D. Stone, "Correlations and °uctuations of coherent wave transmission through disordered media," Phys. Rev. Lett., Vol. 61, No. 7, 834-837, 1988.
doi:10.1103/PhysRevLett.61.834

20. Michel, T. R. and K. A. O'Donnell, "Angular correlation functions of amplitudes scattered from a one-dimensional, perfectly conducting rough surface," J. Opt. Soc. Amer. A, Vol. 9, No. 8, 1374-1384, 1992.
doi:10.1364/JOSAA.9.001374

21. Zhang, G., L. Tsang, and Y. Kuga, "Studies of angular correlation function of scattering by random rough surfaces with and without a buried object," IEEE Trans. Geosci. Remote Sensing, Vol. 35, 444-453, 1997.
doi:10.1109/36.563283

22. Zhang, G., L. Tsang, and K. Pak, "Angular correlation function and scattering coe±cient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface," J. Opt. Soc. Amer. A, 2995-3002, Dec. 1998.
doi:10.1364/JOSAA.15.002995

23. Rao, S. M., D. R. Wlton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 32, 409-418, 1982.
doi:10.1109/TAP.1982.1142818

Dr. Wei-Jie Ji

Dr. Chuang-Ming Tong