The electromagnetic scattering from a perfectly electric conducting (PEC) target located above or below rough surface is investigated, for the case of TM polarization, using the Method of Moments (MoM). The rough surface with Gaussian profile is used to emulate the realistic situation of a statistically-rough surface, while the tapered incident wave is chosen to reduce the truncation error. The Monte-Carlo procedure is employed to calculate the angular correlation function (ACF), which is dependent on the depth, size and horizontal position of the buried target, as well as the moisture content in the soil, and the properties of the rough surface. The enhancement of the ACF on the non-memory line can be used to detect a target below the rough surface. The analysis on the statistical characteristics is also carried out, in view of the study on target detection.
2. Cui, T. J. and W. C. Chew, "Fast algorithm for electromagnetic scattering by buried 3-D dielectric objects of large size," IEEE Trans. Geosci. Remote Sensing, Vol. 37, No. 5, 2597-2608, 1999.
doi:10.1109/36.789654
3. 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," PIERS 22: Progress in Electromagnetics Research, Vol. 22, 315-335, 1999.
doi:10.2528/PIER98112506
4. 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
5. Wang, X., X. Luo, Z. Zhang, and J. Fu, "The study of an electromagnetic scattering model for two adjacent trunks above a rough surface ground plane," Microwave Opt. Tech. Lett., Vol. 20, No. 6, 369-376, 1999.
doi:10.1002/(SICI)1098-2760(19990320)20:6<369::AID-MOP6>3.0.CO;2-Z
6. Wang, X., X. Luo, Z. Zhang, and J. Fu, "Electromagnetic scattering from target buried in layer of randomly distributed trunks," Microwave Opt. Tech. Lett., Vol. 24, No. 3, 162-166, 2000.
doi:10.1002/(SICI)1098-2760(20000205)24:3<162::AID-MOP5>3.0.CO;2-W
7. Wang, X., Z. Zhang, and J. Fu, "Detection of targets buried in fractal trees by using the polarization angular correlation function," Journal of Electromagnetic Waves and Applications, Vol. 14, No. 7, 891-902, 2000.
doi:10.1163/156939300X00013
8. 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, No. 2, 367-376, 1996.
doi:10.1109/36.485114
9. Zhang, G., 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, 2995-3002, 1998.
doi:10.1364/JOSAA.15.002995
10. Peters, L., J. Daniels, and J. Young, "Ground penetrating radar as a subsurface environmental sensing tool," Proc. IEEE, Vol. 82, 1802-1822, 1994.
doi:10.1109/5.338072
11. Feng, S., C. Kane, P. A. Lee, and A. D. Stone, "Correlations and fluctuations of coherent wave transmission through disordered media," Phys. Rev. Lett., Vol. 61, No. 7, 834-837, 1988.
doi:10.1103/PhysRevLett.61.834
12. 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. Am. A, Vol. 9, No. 8, 1374-1384, 1992.
doi:10.1364/JOSAA.9.001374
13. Tsang, L., G. Zhang, and K. Pak, "Detection of a buried object under a single random rough surface with angular correlation function in EM wave scattering," Microwave Opt. Tech. Lett., Vol. 11, No. 6, 300-304, 1996.
doi:10.1002/(SICI)1098-2760(19960420)11:6<300::AID-MOP4>3.0.CO;2-N
14. 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. Geosc. Remote Sensing, Vol. 35, No. 2, 444-453, 1997.
doi:10.1109/36.563283
15. Goff, J. A., "A utilitarian approach to modeling non-Gaussian characteristics of a topographic field," J. Geophys. Res., Vol. 98 (B11), No. 19, 635-647, 1993.
16. Tatarskii, V. I. and V. I. Tatarskii, "Non-Gaussian statistical model of the ocean surface for wave-scattering theories," Waves Random Media, Vol. 6, No. 4, 419-435, 1996.
doi:10.1088/0959-7174/6/4/006
17. Johnson, G. E., "Constructions of particular random process," Proc. IEEE, Vol. 82, No. 2, 270-284, 1994.
doi:10.1109/5.265353
18. 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, 1988.
doi:10.1121/1.396188
19. Donohue, D. J., H. C. Ku, and D. R. Thompson, "Application of iterative moment-method solution to ocean surface radar scattering," IEEE Trans. Antennas Propagat., Vol. 46, No. 1, 121-132, 1998.
doi:10.1109/8.655459
20. Kay, S. M., Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, Englewood Cliffs, NJ, 1993.
21. 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," J. Electromagn. Waves Appl., Vol. 10, No. 7, 1005-1021, 1996.
doi:10.1163/156939396X00081
22. 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
23. Johnson, J. T., "Thermal emission from a layered medium bounded by a slightly rough interface," IEEE Trans. Geosci. Remote Sensing, Vol. 39, 368-378, 2001.
doi:10.1109/36.905245
24. Fuks, M. and A. G. Voronovich, "Wave diffraction by rough interfaces in an arbitrary plane-layered medium," Waves Random Media, Vol. 10, 253-272, 2000.
25. Borghi, R., F. Frezza, F. Gori, M. Santarsiero, and G. Schettini, "Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach," J. Opt. Soc. Am. A, Vol. 13, No. 3, 483-493, 1996.
doi:10.1364/JOSAA.13.000483
26. 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