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Progress In Electromagnetics Research
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SPM NUMERICAL RESULTS FROM AN EFFECTIVE SURFACE IMPEDANCE FOR A ONE-DIMENSIONAL PERFECTLY-CONDUCTING ROUGH SEA SURFACE

By Y. Brelet and C. Bourlier

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Abstract:
From the analytical theory of rough surface Green's function based on the extension of the diagram method of Bass, Fuks and Itô, with the smoothing approximation, numerical results are presented for Gaussian and sea spectra and compared with a benchmark method by considering a one-dimensional perfectly conducting Gaussian rough surface. The effects of multiple scattering due to the surface roughness are incorporated systematically into the solutions through an effective surface impedance, which can be iterated up to the second-order. In addition, comparisons of the bistatic scattering coefficients are presented with the first- and second- orders conventional small perturbation method. This study will be useful for remote sensing of the ocean surface, especially when the transmitter is close to the surface.

Citation:
Y. Brelet and C. Bourlier, "SPM Numerical Results from an Effective Surface Impedance for a One-Dimensional Perfectly-Conducting Rough Sea Surface," Progress In Electromagnetics Research, Vol. 81, 413-436, 2008.
doi:10.2528/PIER07121703
http://www.jpier.org/PIER/pier.php?paper=07121703

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

2. Rice, S. O., "Reflection of electromagnetic waves from slightly rough surfaces," Theory of Electromagnetic Waves, 351-378, 1951.

3. Fuks, I. M. and F. G. Bass, Wave Scattering for Statistically Rough Surfaces, Pergamon, New York, 1979.

4. Voronovich, A. G., Wave Scattering from Rough Surface, Spring- Verlag, Berlin, 1994.

5. Berginc, G., "G. and C. Bourrely The small-slope approximation method applied to a three-dimensional slab with rough boundaries," Progress In Electromagnetics Research, Vol. 73, 131-211, 2007.
doi:10.2528/PIER07030806

6. Ishimaru, A., Wave Propagation and Scattering in Random Media, Academic, New York, 1978.

7. Tsang, L. and J. A. Kong, Scattering of Electromagnetic Waves: Theories and Applications, Vol. 1, Vol. 1, Wiley-Interscience, New York, 2001.

8. Fuks, I. M., "Correction to asymptotic solutions for backscattering by smooth 2D surfaces," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 14, 2103-2103, 2006.
doi:10.1163/156939306779322648

9. Mudaliar, S., "On the application of the radiative transfer approach to scattering from a random medium layer with rough boundaries," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1739-1749, 2006.
doi:10.1163/156939306779292246

10. Fuks, I. M., V. I. Tatarskii, and D. E. Barrick, "Behavior of scattering from a rough surface at small grazing angles," Wave in Random Media, No. 9, 295-305, 1999.
doi:10.1088/0959-7174/9/3/302

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

12. Feinberg, E., "On the propagation of radio waves along an imperfect surface," Journal of Physics, Vol. 8, No. 6, 317-330, 1944.

13. Itˆo, S., "Analysis of scalar wave scattering from slightly rough random surfaces: A multiple scattering theory," Radio Science, Vol. 20, No. 1, 1-12, 1985.
doi:10.1029/RS020i001p00001

14. Elfouhaily, T., B. Chapron, and K. Katsaros, "A unified directional spectrum for long and short wind-driven waves," Journal of Geophysical Research, Vol. 102, No. C7, 15781-15796, 1997.
doi:10.1029/97JC00467

15. Frisch, U., "Wave propagation in random media," Probabilistic Methods in Applied Mathematics, 75-198, 1968.

16. Tsang, L. and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics, Vol. 3, Vol. 3, Wiley-Interscience, New York, 2001.

17. Ogura, H. and N. Takahashi, "Scattering, radiation and propagation over two-dimensional random surface," Progress In Electromagnetics Research, Vol. 14, 89-180, 1996.

18. Fung, A. K. and N. C. Kuo, "Backscattering from multi-scale and exponentially correlated surfaces," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 3-11, 2006.
doi:10.1163/156939306775777378

19. Chen, K. S., A. K. Fung, J. C. Shi, and H. W. Lee, "Interpretation of backscattering mechanisms from non-Gaussian correlated randomly rough surfaces," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 1, 105-118, 2006.
doi:10.1163/156939306775777404

20. Barrick, D. E., "Theory of HF and VHF propagation across the rough sea, I and II," Radio Science, Vol. 6, No. 5, 517-533, 1971.
doi:10.1029/RS006i005p00517

21. Huang, E. X. and A. K. Fung, "An application of sampling theorem to moment method simulation in surface scattering," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 4, 531-546, 2006.
doi:10.1163/156939306776117063

22. Zhang, Y., J.Wang, Z. Zhao, and J. Yang, "The analysis of LPDA using MOM and transmission matrix," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 12, 1621-1633, 2007.

23. Zou, Y., Q. Liu, and J. Guo, "Fast analysis of body-of-revolution radomes with Method of Moments," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1803-1817, 2007.

24. Papakanellos, P. J., "Alternative sub-domain Moment Methods for analyzing thin-wire circular loops," Progress In Electromagnetics Research, Vol. 71, 1-18, 2007.
doi:10.2528/PIER07020402

25. Wang, S., X. Guan, D. Wang, and X. Ma, "and Y. Su Electromagnetic scattering by mixed conducting/dielectric objects using higherorder MOM," Progress In Electromagnetics Research, Vol. 66, 51-63, 2006.
doi:10.2528/PIER06092101

26. Mishra, M. and N. Gupta, "Monte Carlo integration technique for the analysis of electromagnetic scattering from conducting surfaces," Progress In Electromagnetics Research, Vol. 79, 91-106, 2008.
doi:10.2528/PIER07092005

27. Watson, J. G. and J. B. Keller, "Reflection, scattering and absorption of acoustic waves by rough surfaces," Journal of the Acoustical Society of America, Vol. 74, No. 6, 1887-1894, 1983.
doi:10.1121/1.390236

28. Fabbro, V., P. F. Combes, and N. Guillet, "Apparent radar cross section of a large target illuminated by a surface wave above the sea," Progress In Electromagnetics Research, Vol. 50, 41-60, 2005.
doi:10.2528/PIER04050502

29. Charnotskii, M. I., "Wave scattering by periodic surface at low grazing angles: Single grazing mode," Progress In Electromagnetics Research, Vol. 26, 1-41, 2000.
doi:10.2528/PIER99060505

30. Fabbro, V., C. Bourlier, and P. F. Combes, "Forward propagation modeling above Gaussian rough surfaces by the parabolic shadowing effect," Progress In Electromagnetics Research, Vol. 58, 243-269, 2006.
doi:10.2528/PIER05090101

31. Xu, L., Y. C. Guo, and X. W. Shi, "Dielectric half space model for the analysis of scattering from objects on ocean surface," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 15, 2287-2296, 2007.
doi:10.1163/156939307783134272

32. Phillips, O. M., "The equilibrium range in the spectrum of wind generated waves," Journal of Fluid Mechanics, Vol. 4, 426-434, 1958.
doi:10.1017/S0022112058000550

33. Donelan, M. A. and W. J. P. Pierson, "Radar scattering and equilibrium ranges in wind-generated waves with application to scatterometry," Journal of Geophysical Research, Vol. 92, 4971-5029, 1987.
doi:10.1029/JC092iC05p04971

34. Apel, J. R., "An improved model of the ocean surface wave vector spectrum and it effects on radar backscatter," Journal of Geophysical Research, Vol. 99, 16269-16291, 1994.
doi:10.1029/94JC00846


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