Progress In Electromagnetics Research B
ISSN: 1937-6472
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By M. Man, Z. Lei, Y. Xie, and X. Li

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This paper presents a hybrid scheme for fast calculation on the bistatic composite scattering from electrically very large ship-sea geometry at high frequencies. Based on the Kirchhoff approximation (KA), we try to break the large-scale sea surface into myriads of plane facets, then derive the Kirchhoff integration analytically on each individual discretized facet. The analytical expression obtained, so-called the ``facet-based Kirchhoff approximation (FBKA)'', is suitable for a quick scattering calculation on the electrically very large sea surface, since it is beyond the intensively refined meshes as the usual Monte Carlo implementation does. Meanwhile, combined with graphical electromagnetic computing method (GRECO) to extract the illuminated and shadow facets in accordance with the incident direction, the conventional physical optics method (PO) is improved by employing current marching technique (CMT) to calculate the currents in the shadow region. The shadow-corrected GRECO is presented in this hybrid model to solve the bistatic scattering from complex and very electrically large perfectly electric conducting (PEC) objects. The accuracy of the shadow-corrected GRECO is confirmed well by exact numerical methods, especially at large scattering angles. The electromagnetic interactions between the ship and sea surface are estimated by the famous ``four-path model'', which has been proved to be valid for ship scattering at relatively calm sea state. Several numerical examples have been presented to demonstrate the efficiency and accuracy of the proposed hybrid method.

M. Man, Z. Lei, Y. Xie, and X. Li, "Bistatic RCS Prediction of Composite Scattering from Electrically Very Large Ship-Sea Geometry with a Hybrid Facet-Based Ka and Shadow-Corrected Greco Scheme," Progress In Electromagnetics Research B, Vol. 60, 35-48, 2014.

1. Jin, Y. Q., "Advances in numerical simulation of composite scattering from target above rough surface," 9th International Symposium on Antennas Propagation and EM Theory (ISAPE), 806-809, 2010.

2. Baussard, A., M. Rochdi, and A. Khenchaf, "PO/MEC-based scattering model for complex objects on a sea surface," Progress In Electromagnetics Research, Vol. 111, 229-251, 2011.

3. Zhang, M., W. Luo, G. Luo, C. Wang, and H. C. Yin, "Composite scattering of ship on sea surface with breaking waves," Progress In Electromagnetics Research, Vol. 123, 263-277, 2012.

4. 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.

5. Wu, Z. S., J. J. Zhang, and L. Zhao, "Composite electromagnetic scattering from the plate target above a one-dimensional sea surface: Taking the di?raction into account," Progress In Electromagnetics Research, Vol. 92, 317-331, 2009.

6. 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, Vol. 40, 207-227, 2003.

7. Ku, H. C., R. S. Awadallah, R. L. McDonald, and N. E. Woods, "Fast and accurate algorithm for electromagnetic scattering from 1-D dielectric ocean surfaces," IEEE Trans. Antennas Propag., Vol. 54, No. 8, 2381-2391, 2006.

8. Guo, L. X., A. Q. Wang, and J. Ma, "Study on EM wave scattering from 2-D target above 1-D large scale rough surface with low grazing incidence by parallel MoM based on PC clusters," Progress In Electromagnetics Research, Vol. 89, 149-166, 2009.

9. Ozgun, O. and M. Kuzuoglu, "Monte carlo-based characteristic basis finite-element method (MC-CBFEM) for numerical analysis of scattering from objects on/above rough sea surfaces," IEEE Trans. Geosci. Remote Sens., Vol. 50, No. 3, 769-783, 2012.

10. Li, J. and L. X. Guo, "FDTD investigation on the bistatic scattering from a target above two-layered rough surfaces using UPML absorbing condition," Progress In Electromagnetics Research, Vol. 88, 197-211, 2008.

11. Li, J. and L. X. Guo, "Investigation on wide-band scattering of a target above randomly rough surface by FDTD method," Optics Express, Vol. 19, No. 2, 1091-1100, 2011.

12. Holliday, D., L. L. DeRaad, and G. J. St-Cy, "Forward-backward: A new method for computing low-grazing angle scattering," IEEE Trans. Antennas Propag., Vol. 44, No. 5, 722-729, 1996.

13. Li, Z. X. and Y. Q. Jin, "Numerical simulation of bistatic scattering from a fractal rough surface using the forward backward method," Electromagnetics, Vol. 22, No. 3, 191-207, 2002.

14. Rodriguez Pino, M., 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 and Propag., Vol. 47, No. 6, 961-969, 1999.

15. Li, Z. X. and Y. Q. Jin, "Bistatic scattering from a fractal dynamic rough sea surface with a ship presence at low grazing-angle incidence using the GFBM/SAA," Microw. Opt. Techn. Let., Vol. 31, No. 2, 146-151, 2001.

16. Michalski, K. A. and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE Trans. Antennas Propag., Vol. 45, No. 3, 508-519, 1997.

17. Liu, Z. J., J. Q. He, Y. J. Xie, A. Sullivan, and L. Carin, "Multilevel fast multipole algorithm for general targets on a half-space interface," IEEE Trans. Antennas Propag., Vol. 50, No. 12, 1838-1849, 2002.

18. Li, X. F., Y. J. Xie, P. Wang, and T. M. Yang, "High-frequency method for scattering from electrically large conductive targets in half-space," IEEE Antennas Wireless Propaga. Lett., Vol. 6, 259-262, 2007.

19. Li, X. F., Y. J. Xie, and R. Yang, "High-frequency method for scattering from coated targets with electrically large size in half space," IET Microwaves, Antennas & Propagation, Vol. 3, No. 2, 181-186, 2009.

20. Guan, B., J. F. Zhang, X. Y. Zhou, and T. J. Cui, "Electromagnetic scattering from objects above a rough surface using the method of moments," IEEE Trans. Geosci. Remote Sens., Vol. 47, No. 10, 3399-3405, 2009.

21. Zhang, Y., Y. E. Yang, H. Braunish, and J. A. Kong, "Electromagnetic wave interaction of conducting object with rough surface by hybrid SPM/MoM technique," Journal of Electromagnetic Waves and Applications, Vol. 13, No. 7, 983-984, 1999.

22. 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 Sens., Vol. 45, No. 5, 1174-1180, 2007.

23. Zhang, X. Y. and X. Q. Sheng, "An e±cient hybrid KA-MoM method for scattering from objects above a rough surface," Asia-Paciˉc Microwave Conference, 16-20, Dec. 2008.

24. Yang, W., W. Yang, 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. 17, 435-448, 2011.

25. Li, J., L. X. Guo, Q. He, and R. W. Xu, "Characterization of 3D electromagnetic scattering from PEC man-made target above rough surface," Microwave and Millimeter Wave Technology (ICMMT), Vol. 2, 1-4, 2012.

26. Li, J., B. Wei, Q. He, L. X. Guo, and D. B. Ge, "Time-domain iterative physical optics method for analysis of EM scattering from the target half buried in rough surface: PEC case," Progress In Electromagnetics Research, Vol. 121, 391-408, 2011.

27. Beckmann, P. and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces, Pergamon, New York, 1963.

28. Ulaby, F. T., R. K. Moore, and A. K. Fung, Microwave Remote Sensing, Volume II, Addison-Wesley Publishing Company, Canada, 1982.

29. Barrick, D. E., "Rough surface scattering based on the specular point theory," IEEE Trans. Antennas Propag., Vol. 16, No. 4, 449-454, 1968.

30. Hesany, V., W. J. Plant, and W. C. Keller, "The normalized radar cross section of the sea at 10o incidence," IEEE Trans. Geosci. Remote Sens., Vol. 38, No. 1, 64-72, 2000.

31. Tessendorf, J., "Simulating ocean water. Simulating nature: Realistic and interactive techniques,", ACM SIGGRAPH 2001 Course Notes #47, 2001.

32. Hasselmann, K., et al., "Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP),", Repository Hydraulic Engineering Reports, Deutsches Hydrographisches Institut, Hamburg, 1973.

33. Rius, J. M., M. Ferrando, and L. Jofre, "High-frequency RCS of complex radar targets in real-time," IEEE Trans. Antennas Propag., Vol. 41, No. 9, 1308-1319, 1993.

34. Zaporozhets, A. A. and M. F. Levy, "Bistatic RCS calculation with the vector parabolic equation method," IEEE Trans. Antennas Propag., Vol. 47, 1688-1696, 1999.

35. Johnson, J. T., "A numerical study of scattering from an object above a rough surface," IEEE Trans. Antennas Propag., Vol. 50, No. 10, 1361-1367, 2002.

36. Wang, Y. and X. J. Xu, "On wideband radar signature simulation of ships over sea surface," Acta Aeronautica et Astronautica Sinica, Vol. 30, No. 2, 337-342, 2009.

37. Franceschetti, G., M. Migliaccio, and D. Riccio, "On ocean SAR raw signal simulation," IEEE Trans. Geosci. Remote Sens., Vol. 36, No. 1, 84-100, 1998.

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