volume | PIER Journals

Abstract

Method of Moments (MOM) combining with the Kirchhoff Approximation(KA) for analysis of the problem of optical wave scattering by a stack of two one-dimensional Gaussian rough interfaces is solved. The scattered field from the upper interface is solved by MOM and the transmitted field from the lower one is expressed from the Kirchhoff approximation where the multiple scattering phenomenon is neglected. The advantage of this hybrid method is that it is more exact than Kirchhoff approximation. The two rough interfaces separate three lossless and homogeneous media. The bistatic scattered field and the scattering coefficient are derived in this paper for vertical and horizontal polarizations. The influence of the relative permittivity, the height rms and the correlative length, the average heights between the two interfaces on the bistatic scattering coefficient is discussed in detail. The application of this work is the study of electromagnetic modeling of oil slicks on ocean surfaces.

1. Wismann, V., M. Gade, W. Alpers, and H. H¨uhnerfuss, "Radar signatures of marine mineral oil spills measured by an airborne multi-radar ," Int. J. Remote Sens., Vol. 19, No. 3, 3607-3623, 2005. Google Scholar

2. Blumberg, D. G., et al. "Soil moisture assessment by an airborne scatterometer in Chernobyl disaster area and Negev Desert," IGARSS 2000, IEEE 2000 International, Vol. 5, 2011-2013, 2000. Google Scholar

3. Chen, K.-S., A. K. Fung, J. C. Shi, and H.-W. Lee, "Intepretation of backscattering mechanisms from non-Gaussian correlated randomly rough surfaces," J. of Electromagn. Waves and Appl., Vol. 20, No. 1, 105-118, 2006.
doi:10.1163/156939306775777404 Google Scholar

4. Fung, A. K. and N. C. Kuo, "Backscattering from multi-scale and exponentially correlated surfaces," J. of Electromagn. Waves and Appl., Vol. 20, No. 1, 3-11, 2006.
doi:10.1163/156939306775777378 Google Scholar

5. Sanchez-Gil, J. A., A. A. Maradudin, J. Q. Lu, and V. D. Freilikher, "New features in the transmission of light throug thin metal films with randomly rough surfaces," Geoscience and Remote Sensing Symposium, Vol. 1, 273-276, 1994. Google Scholar

6. Ho, M., "Scattering of electromagnetic waves from vibrating perfect surfaces: simulation using relativistic boundary conditions," J. of Electromagn. Waves and Appl., Vol. 20, No. 4, 425-433, 2006.
doi:10.1163/156939306776117108 Google Scholar

7. Pinel, N. and C. Bourlier, "Modeling of the bistatic electromagnetic scattering from sea surfaces covered in oil for microwave applications," IEEE Transactions on Geoscience and Remote Sensing, Vol. 46, No. 2, 385-392, 2008.
doi:10.1109/TGRS.2007.902412 Google Scholar

8. Ren, Y.-C. and L.-X. Guo, "Study on the multiple scattering and shadowing effect from the two-dimensional rough surface," Systems Engineering and Electronics, Vol. 28, No. 4, 496-507, 2006. Google Scholar

9. Guo, L.-X. and Z.-S. Wu, "Fractal characteristics investigation of electromagnetic scattering from 2D conducting rough surfac," Acta Physica Sinica, Vol. 49, No. 6, 1065-1069, 2000. Google Scholar

10. Fuks, I. M. and A. Voronovitch, "Wave diffraction by rough interfaces in an arbitrary plane-layered medium," Waves in Random Media, Vol. 10, S253-S272, 2000.
doi:10.1088/0959-7174/10/2/304 Google Scholar

11. Pinel, N. and C. Bourlier, "Scattering from very rough layers under the geometric optics approximation: Further investigation," Journal of the Optical Society of America A, Vol. 25, No. 6, 1293-1306, 2008.
doi:10.1364/JOSAA.25.001293 Google Scholar

12. Dechamps, N. C., et al. "Numerical simulations of scattering from one-dimensional rough intefaces," Proceedings. 2003 IEEE International, Vol. 1, 118-120, 2003. Google Scholar

13. Ogilvy, J. A., Theory of Wave Scattering from Random Rough Surface , IOP Publishing, 1991.

14. Thorsos, E., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am., Vol. 83, 78-91, 1988.
doi:10.1121/1.396188 Google Scholar

15. Beckman, P. and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surface, Pergamon, 1963.

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

17. Tsang, L., J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, John Wiley & Sons, Inc., John Wiley & Sons, Inc., 2001.

Dr. Rui Wang

Professor Li-Xin Guo