volume | PIER Journals

Abstract

Scattering from a two-dimensional (2-D) perfectly electrically conducting (PEC) cylinder partially embedded in a random dielectric rough surface interface is studied using the method of moments (MoM) with pulse basis functions and the point matching technique, for the case of horizontal polarization. The random rough surface is modeled using Gaussian statistical characteristic for the rough surface height and surface correlation function, and generated by the spectralmethod. The tapered plane-wave incidence is used to avoid artificial edge diffraction due to the truncation of the rough surface into finitelength rough surface in the numerical simulations. With the developed algorithms, the interactions between the dielectric rough surface and the partially buried PEC cylinder are investigated using the Monte Carlo simulation, and are expressed as a function of the root mean square (rms) height of a random dielectric rough surface and the moisture content of the soil. The numerical results show that the bistatic scattering coefficients are dependent upon the moisture content, the rms height of a rough surface, and other parameters.

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 Electromagnetics Research, PIER 22, 315-335, 1999.

2. Chiu, T. and K. Sarabandi, "Electromagnetic scattering interaction between a dielectric cylinder and a slightly rough surface ," IEEE Trans. Antennas Propagat., Vol. 47, No. 5, 902-913, 1999.
doi:10.1109/8.774155

3. Wang, X., X. Luo, Z. Zhang, and J. Fu, "The study of an electromagentic scattering model for two adjacent trunks above a rough surface ground plane," Microwave and Optical Technology Letters, Vol. 20, No. 6, 369-376, 1999.
doi:10.1002/(SICI)1098-2760(19990320)20:6<369::AID-MOP6>3.0.CO;2-Z

4. Lawrence, D. E. and K. Sarabandi, "Electromagnetic scattering from a dielectric cylinder buried beneath a slightly rough surface," IEEE Trans. Antennas Propagat., Vol. 50, No. 10, 1368-1376, Oct. 2002.
doi:10.1109/TAP.2002.802160

5. Cottis, P. G. and J. D. Kanellopoulos, "Scattering of electromagnetic waves from cylindrical inhomogeneities embedded inside a lossy medium with sinusoidal surface," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 4, 445-458, 1992.

6. Cottis, P. G., C. N. Vazouras, C. Kalamatianos, and J. D. Kanellopoulos, "Scattering of TM waves from a cylindrical scatterer buried inside a two-layer lossy ground with sinusoidal surface," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 7, 1005-1021, 1996.
doi:10.1163/156939396X00081

7. O'Neill, K., R. F. Lussky Jr, 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, No. 2, 367-376, Mar. 1996.
doi:10.1109/36.485114

8. Zhang, G. F., L. Tsang, and Y. Kuga, "Studies of the angular correlation function of scattering by random rough surfaces with and without a buried object," IEEE Trans. Geosci. Remote Sensing, Vol. 35, No. 2, 444-453, Mar. 1997.
doi:10.1109/36.563283

9. Wang, X., C. F.Wang, Y. B. Gan, and L. W. Li, "Electromagnetic scattering from a circular target above or below rough surface," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 8, 1153-1155, 2003.
doi:10.1163/156939303322519766

10. Zhang, G. F., L. Tsang, and K. Pak, "Angular correlation function and scattering coefficient of electromagnetic waves scattered by a buried object under a two-dimensional rough surface," J. Opt. Soc. Am. A, Vol. 15, No. 12, 2995-3002, Dec. 1998.
doi:10.1364/JOSAA.15.002995

11. Johnson, J. T. and R. J. Burkholder, "Coupled canonical grid/discrete dipole approach for computing scattering from objects above or below a rough interface," IEEE Trans. Geosci. Remote Sensing, Vol. 39, No. 6, 1215-1220, Jun. 2001.
doi:10.1109/36.927443

12. El-Shenawee, M., C. Rappaport, E. Miller, and M. Silevitch, "Three-dimensional subsurface analysis of electromagnetic scattering from penetrable/PEC objects buried under rough surfaces: use of the steepest descent fast multipole method (SDFMM)," IEEE Trans. Geosci. Remote Sensing, Vol. 39, No. 6, 1174-1182, Jun. 2001.
doi:10.1109/36.927436

13. Rao, T. C. and R. Barakat, "Plane-wave scattering by a conducting cylinder partially buried in a ground plane. 1. TM case," J. Opt. Soc. Am. A, Vol. 6, No. 3, 1270-1280, 1989.
doi:10.1364/JOSAA.6.001270

14. Rao, T. C. and R. Barakat, "Plane-wave scattering by a conducting cylinder partially buried in a ground plane. 2. TE case," J. Opt. Soc. Am. A, Vol. 8, No. 3, 1986-1990, 1991.
doi:10.1364/JOSAA.8.001986

15. Hamid, A. K. and M. Hamid, "A plane electromagnetic wave scattering by a conducting sphere partially buried in a ground plane," Journal of Electromagnetic Waves and Applications, Vol. 14, No. 5, 615-627, 2000.
doi:10.1163/156939300X01319

16. Xu, X. B. and C. M. Bulter, "Scattering of TM excitation by coupled and partially buried cylinders at the interface between two media ," IEEE Trans. Antennas Propagat., Vol. 35, No. 5, 529-538, May 1987.
doi:10.1109/TAP.1987.1144140

17. Ling, R. T. and P. Y. Ufimtsev, "Scattering of electromagnetic waves by a metallic object partially immersed in a semi-infinite dielectric medium," IEEE Trans. Antennas Propagat., Vol. 49, No. 2, 223-233, Feb. 2001.
doi:10.1109/8.914284

18. Pino, M. R., L. Landesa, J. L. Rodriguez, F. Obelleiro, and R. J. Burkholder, "The generalized forward-backward method for analyzing the scattering from targets on ocean-like rough surfaces," IEEE Trans. Antennas Propagat., Vol. 47, No. 6, 961-969, Jun. 1999.
doi:10.1109/8.777118

19. Burkholder, R. J., M. R. Pino, and F. Obelleiro, "A Monte Carlo study of the rough surface influence on the radar scattering from two-dimensional ships," IEEE Antennas and Propagation Magazine, Vol. 43, No. 2, 25-33, Mar. 2001.
doi:10.1109/74.924601

20. Wang, X., Y. B. Gan, and L. W. Li, "Electromagnetic scattering by partially buried PEC cylinder at the dielectric rough surface interface: TM case," IEEE Antennas and Wireless Propagation Letters, Vol. 2, 319-322, 2003.
doi:10.1109/LAWP.2003.822200

21. Thorsos, E., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am., Vol. 83, No. 1, 78-92, Jan. 1988.
doi:10.1121/1.396188

22. Donohue, D. J., H. C. Ku, and D. R. Thompson, "Application of iterative moment-method solutions to ocean surface radar scattering," IEEE Trans. Antennas. Propagat., Vol. 46, No. 1, 121-132, Jan. 1998.
doi:10.1109/8.655459

23. Valle, P. J., F. Gonzalez, and F. Moreno, "Electromagnetic wave scattering from conducting cylindrical structures on flat substrates: Study by means of the extinction theorem," Appl. Opt., Vol. 33, No. 3, 512-523, 1993.
doi:10.1364/AO.33.000512

24. Wang, J. R. and T. J. Schmugge, "An empirical model for the complex dielectric permittivity of soils as function of water content," IEEE Trans. Geosci. Remote Sensing, Vol. 18, No. 4, 288-295, Jul. 1980.
doi:10.1109/TGRS.1980.350304

25. Tsang, L., J. A. Kong, K. H. Ding, and C. O. Ao, Scattering of Electromagnetic Waves — Numerical Simulations, John Wiley & Sons, Inc., New York, 2001.

26. Tsang, L., J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing, John Wiley & Sons, Inc., New York, 1985.

27. Meister, G., A. Rothkirch, H. Spitzer, and J. Bienlein, "Width of the specular peak perpendicular to the principal plane for rough surfaces," Appl. Opt., Vol. 40, No. 33, 6072-6080, Nov. 2001.
doi:10.1364/AO.40.006072

28. Wang, X., C. F.Wang, Y. B. Gan, and L. W. Li, "Electromagnetic scattering from a circular target above or below rough surface," Progress In Electromagnetics Research, PIER 40, 207-227, 2003.

29. Chen, H. T. and G. Q. Zhu, "Model the electromagnetic scattering from three-dimensional PEC object buried under rough ground by MoM and modified PO hybrid method," Progress In Electromagnetics Research, PIER 77, 15-27, 2007.

30. Li, Z. X., "Bistatic scattering from rough dielectric soil surface with a conducting object with arbitrary closed contour partially buried by using the FBM/SAA method," Progress In Electromagnetics Research, PIER 76, 253-274, 2007.

Dr. Xiande Wang

Prof. Joshua Le-Wei Li