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Progress In Electromagnetics Research
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THEORETICAL MODEL OF ELECTROMAGNETIC SCATTERING FROM 3D MULTI-LAYER DIELECTRIC MEDIA WITH SLIGHTLY ROUGH SURFACES

By Z. Lin, X. Zhang, and G. Fang

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Abstract:
A theoretical model of scattering from three-dimensional arbitrary layered media with 3D infinite rough surfaces based on the small perturbation method (SPM) is derived in the present paper. The scattering field and bistatic scattering coe┬▒cient for linear polarized waves are derived respectively. Firstly, the electric and magnetic fields in each region of the layered structure are expanded into perturbation series in spectral domain. Secondly, the expansion coefficients of each order are obtained by applying the boundary conditions. As a result, the expressions of the zeroth-, first- and second-order solutions of the scattering problem based on the SPM are obtained, in which the second-order solution is the primary contribution of this work. The theoretical model is helpful to understand the dependence between the scattering field and physical properties of the layered structure (such as surface roughness and dielectric constants at different depths). The result can be applied to modeling of the received radar signal from nature targets such as layered soil and ice with full polarizations.

Citation:
Z. Lin, X. Zhang, and G. Fang, "Theoretical Model of Electromagnetic Scattering from 3D Multi-Layer Dielectric Media with Slightly Rough Surfaces," Progress In Electromagnetics Research, Vol. 96, 37-62, 2009.
doi:10.2528/PIER09061102
http://www.jpier.org/PIER/pier.php?paper=09061102

References:
1. Franceschini, G., et al., "A comparative assessment among iterative linear solvers dealing with electromagnetic integral equations in 3D inhomogeneous anisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 7, 899-914, 2007.
doi:10.1163/156939307780749048

2. Zhang, H., S. Y. Tan, and H. S. Tan, "An improved method for microwave nondestructive dielectric measurement of layered media," Progress In Electromagnetics Research B, Vol. 10, 145-161, 2008.
doi:10.2528/PIERB08082701

3. Popov, A. V. and V. V. Kopeikin, "Electromagnetic pulse propagation over nonuniform earth surface: Numerical simulation," Progress In Electromagnetics Research B, Vol. 6, 37-64, 2008.
doi:10.2528/PIERB08031102

4. Hichem, N. and T. Aguili, "Scattering by multilayered structures using the extended method of auxiliary sources EMAS," Progress In Electromagnetics Research B, Vol. 15, 133-150, 2009.
doi:10.2528/PIERB09042307

5. Wang, R. and L.-X. Guo, "Numerical simulations of wave scattering from two-layered rough interface," Progress In Electromagnetics Research B, Vol. 10, 163-175, 2008.
doi:10.2528/PIERB08082903

6. Fuks, I. M., "Wave diffraction by a rough boundary of an arbitrary plane-layered medium," IEEE Transactions on Antenna and Propagation, Vol. 49, No. 4, 630-639, 2001.
doi:10.1109/8.923325

7. Azadegan, R. and K. Sarabandi, "Analytical formulation of the scattering by a slightly rough dielectric boundary covered with a homogenous dielectric layer," IEEE Antennas and Propagation Society International Symposium, Vol. 3, 420-423, 2003.

8. Franceschetti, G., et al., "Scattering from layered structures with one rough interface: A unified formulation of perturbative solutions," IEEE Transaction on Geoscience and Remote Sensing, Vol. 46, No. 6, 1634-1643, 2008.
doi:10.1109/TGRS.2008.916222

9. Imperatore, P., A. Iodice, and D. Riccio, "Electromagnetic wave scattering from layered structures with an arbitrary number of rough interfaces," IEEE Transaction on Geoscience and Remote Sensing, Vol. 47, No. 4, 1056-1072, 2009.
doi:10.1109/TGRS.2008.2007804

10. Tabatabaeenejad, A. and M. Moghaddam, "Bistatic scattering from three-dimensional layered rough surfaces, interfaces," IEEE Transaction on Geoscience and Remote Sensing, Vol. 44, No. 8, 2102-2114, 2006.
doi:10.1109/TGRS.2006.872140

11. Hajnsek, I., E. Pottier, and S. R. Cloude, "Inversion of surface parameters from polarimetric SAR," IEEE Transaction on Geoscience and Remote Sensing, Vol. 41, No. 4, 727-744, 2003.
doi:10.1109/TGRS.2003.810702

12. Tsang, L. and J. A. Kong, Scattering of Electromagnetic Waves Advanced Topics, Wiley, 2001.

13. Johnson, J. T., "Third-order small-perturbation method for scattering from dielectric rough surfaces," J. Opt. Soc. Am. A, Vol. 16, No. 11, 2720-2736, 1999.
doi:10.1364/JOSAA.16.002720

14. Greffet, J. J., "Theoretical model of the shift of the brewster angle on a rough surface," Optical Letters, Vol. 17, No. 4, 238-240, 1992.
doi:10.1364/OL.17.000238


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