volume | PIER Journals

Abstract

A hybrid method, combining analytic Kirchhoff approximation (KA) and numerical method of moments (MoMs), is developed to solve the two-dimensional (2D) scattering problem of a dielectric target with arbitrary cross section above a moderate perfect electric conductor (PEC) rough surface under TE-polarized tapered wave incidence. The induced current on the rough surface is analytically expressed using the KA method, which depends on the tapered incident wave and the field illuminating by current distribution on the target, leaving only unknown induced current on the target. So the electric field integral equations of the induced currents on the target only can be derived; it allows a substantial reduction of computation time and memory requirement. Furthermore, for different secondary scattering of the underlying rough surface, different truncations of the rough surface are taken to speed up computation of the scattering contribution from the rough surface to the target. Making use of Monte Carlo realization, bistatic scattering from a cylindrical target above a PEC rough surface is well simulated to test validity and efficiency of the proposed method. Numerical results from the hybrid method have good agreements with those from the conventional method of moments. However, the computational time and the memory requirements have been greatly reduced.

1. Johnson, J. T., "A study of the four-path model for scattering from an object above a half space," Micro. Opt. Techn. Let., Vol. 30, 130-134, 2011.
doi:10.1002/mop.1242

2. Guo, L. X. and Z. Wu, "Application of the extended boundary condition method to electromagnetic scattering from rough ielectric fractal sea surface," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 9, 1219-1234, 2004.
doi:10.1163/1569393042955342

3. Wang, X., C. F. Wang, and Y. B. Gan, "Electromagnetic scattering form a circular target above or below rough surface," Progress In Electromagnetics Research, Vol. 40, 207-227, 2003.
doi:10.2528/PIER02111901

4. Li, Z. and Y. Q. Jin, "Bistatic scattering from a fractal dynamic rough sea surface with a ship presence at low grazing-angle ncidence using the GFBM/SAA," Micro. Opt. Techn. Let., Vol. 31, 146-151, 2001.
doi:10.1002/mop.1383

5. Li, Z. and Y. Q. Jin, "Bistatic scattering and transmitting through a fractal rough surface with high permittivity using the physics based two-grid method in conjunction with the forward-backward method and spectrum acceleration algorithm," IEEE. Trans. Antenn. Propag., Vol. 50, 1323-1327, 2002.
doi:10.1109/TAP.2002.802166

6. Liu, P. and Y. Q. Jin, "The finite-element method with domain decomposition for electromagnetic bistatic scattering from the comprehensive model of a ship on and a target above a large scale rough sea surface," IEEE Trans. Geosci. Remote, Vol. 42, 950-956, 2004.

7. Liu, Z., R. J. Adams, and L. Carin, "Well-conditioned MLFMA formulation for closed PEC targets in the vicinity of a half space," IEEE. Trans. Antenn. Propag., Vol. 51, 2822-2829, 2003.

8. Li, L., J. Q. He, Z. J. Liu, and L. Carin, "MLFMA analysis of scattering from multiple targets in the presence of a half-space IEEE. Trans. Antenn. Propag.,", Vol. 51, 810-819, 2003.

9. Kubicke, G., C. Bourlier, and J. Saillard, "Scattering by an object above a randomly rough surface from a fast numerical method: Extended PILE method combined with FB-SA," Waves in Random and Complex Media, Vol. 18, 495-519, 2008.
doi:10.1080/17455030802087057

10. Guo, L. X., Y. Liang, and Z. S. Wu, "A study of electromagnetic scattering from conducting targets above and below the dielectric rough surface," Opt. Express, Vol. 19, 5785-5801, 2011.
doi:10.1364/OE.19.005785

11. Ye, H. X. and Y. Q. Jin, "Fast iterative approach to dfference scattering from the target above a rough surface," IEEE Trans. Geosci. Remote, Vol. 44, 108-115, 2006.

12. Ye, H. X. and Y. Q. Jin, "Fast iterative approach to the difference scattering from a dielectric target above a rough surface," Sci. China. Ser. G, Vol. 48, 723-738, 2005.
doi:10.1360/142005-200

13. Chen, H. and W. J. Ji, "Fast calculation of EM scattering from a dielectric target above the dielectric Gauss rough surface based on the cross coupling iterative approach," 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference, 168-170, 2011.
doi:10.1109/CSQRWC.2011.6036912

14. Li, J., L. X. Guo, and H. Zeng, "FDTD investigation on bistatic scattering from a target above two-layered rough surfaces using UPML absorbing condition," Progress In Electromagnetics Research, Vol. 88, 197-211, 2008.
doi:10.2528/PIER08110102

15. 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, Vol. 22, 315-335, 1999.
doi:10.2528/PIER98112506

16. He, S. Y. and G. Q. Zhu, "A hybrid MM-PO method combing UV technique for scattering from two-dimensional target above a rough surface," Micro. Opt. Techn. Let., Vol. 49, 2957-2960, 2007.
doi:10.1002/mop.22922

17. Ye, H. X. and Y. Q. Jin, "A hybrid analytic-numerical algorithm of scattering from an object above a rough surface," IEEE Trans. Geosci. Remote, Vol. 45, 1174-1180, 2007.
doi:10.1109/TGRS.2007.892609

18. Wang, R., L. X. Guo, J. Ma, and Z. S. Wu, "Hybrid method for investigation of electromagnetic scattering from conducting target above the randomly rough surface," Chinese. Phys. B, Vol. 18, 1503-1602, 2009.

19. Yang, W., Z. Q. Zhao, C. H. Qi, W. Liu, and Z. P. Nie, "Iterative hybrid method for electromagnetic scattering from a 3-D object above a 2-D random dielectric rough surface," Progress In Electromagnetics Research, Vol. 117, 435-448, 2011.

20. Wu, Z. S., J. J. Zhang, and L. Zhao, "Composite electromagnetic scattering from the plate target above a one-dimensional sea surface: Taking the diffraction into account," Progress In Electromagnetics Research, Vol. 92, 317-331, 2009.
doi:10.2528/PIER09032902

21. Ticconi, F., L. Pulvirenti, and N. Pierdicca, "Models for scattering from rough surfaces," Electromagnetic Waves, V. Zhurbenko (ed.), Chapter 10, 203{226, InTech, 2011.

22. Ye, H. and Y. Q. Jin, "Parameterization of the tapered incident wave for numerical simulation of electromagnetic scattering from rough surface," IEEE. Trans. Antenn. Propag., Vol. 50, 1361-1367, 2005.

23. Peterson, A. F., S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, 37-94, IEEE Press, New York, 1997.
doi:10.1109/9780470544303

24. Thorsos, E. I., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am., Vol. 83, 78-92, 1988.
doi:10.1121/1.396188

25. Brown, G. S., "The validity of shadowing corrections in rough surface scattering," Radio Science, Vol. 19, No. 6, 1461-1468, 1984.
doi:10.1029/RS019i006p01461

Dr. Lin Li

Dr. Tian Lin Dong

Dr. Qingxia Li