2013-12-25
Analysis of Scattering from Dielectric Rough Surfaces by Hybrid FEM/Bie
By
Progress In Electromagnetics Research M, Vol. 34, 107-116, 2014
Abstract
To study electromagnetic scattering from dielectric rough surfaces, a hybrid finite element method (FEM) combined with boundary integral equations (BIE) is extended to the scattering problem with two half-open regions. Integral boundaries, as truncated boundaries of the FEM region, are employed as artificial boundaries of dielectric rough surfaces above and below the rough surface. In the hybrid method, conformal integral boundaries are introduced to reduce the computational region. The validity of our hybrid method is examined by available solutions got from the method of moment (MoM), which indicates the feasibility of our scheme in simulating the scattering from dielectric rough surfaces. Bistatic scattering coefficient from dielectric rough surfaces is studied in this paper for both polarizations, and functional dependence upon different parameters are numerically discussed.
Citation
Runwen Xu, Li-Xin Guo, and Xiao Meng, "Analysis of Scattering from Dielectric Rough Surfaces by Hybrid FEM/Bie," Progress In Electromagnetics Research M, Vol. 34, 107-116, 2014.
doi:10.2528/PIERM13112201
References

1. 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.
doi:10.2528/PIER10041101        Google Scholar

2. Li, Z.-X., "Bistatic scattering from rough dielectric soil surface with a conducting object with arbitrary closed contour partially buried by using the FBM/SAA method," Progress In Electromagnetics Research, Vol. 76, 253-274, 2007.
doi:10.2528/PIER07071501        Google Scholar

3. Barka, A. and P. Caudrillier, "Domain decomposition method based on generalized scattering matrix for installed performance of antennas on aircraft," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 6, 1833-1842, 2007.
doi:10.1109/TAP.2007.898602        Google Scholar

4. Wang, R., L. Guo, J. Li, and X. Liu, "Investigation on transient electromagnetic scattering from a randomly rough surface and the perfect electric conductor target with an arbitrary cross section above it ," Science in China, Series G: Physics, Mechanics and Astronomy, Vol. 52, 665-675, 2009.
doi:10.1007/s11433-009-0043-z        Google Scholar

5. Li, J., L. X. Guo, and H. Zeng, "FDTD method investigation on the polarimetric scattering from 2-D rough surface," Progress In Electromagnetics Research, Vol. 101, 173-188, 2010.
doi:10.2528/PIER09120104        Google Scholar

6. Botha, M. M. and D. B. Davidson, "Rigorous, auxiliary variable-based implementation of a second-order ABC for the vector FEM," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 11, 3499-3504, 2006.
doi:10.1109/TAP.2006.884300        Google Scholar

7. Zhai, Y. B., X. W. Ping, and T. J. Cui, "Scattering from complex bodies of revolution using a high-order mixed ¯nite element method and locally-conformal perfectly matched layer," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 5, 1761-1764, 2011.
doi:10.1109/TAP.2011.2122224        Google Scholar

8. Liu, P. and Y.-Q. Jin, "Numerical simulation of bistatic scattering from a target at low altitude above rough sea surface under an EM-wave incidence at low grazing angle by using the finite element method," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 5, 1205-1210, 2004.
doi:10.1109/TAP.2004.827497        Google Scholar

9. Ozgun, O. , "Monte Carlo-based characteristic basis finite element method (MC-CBFEM) for numerical analysis of scattering from objects on/above rough sea surfaces," IEEE Transactions on Geoscience and Remote Sensing, Vol. 50, No. 3, 769-783, 2012.
doi:10.1109/TGRS.2011.2162650        Google Scholar

10. Chen, Y., S. Yang, S. He, and Z. Nie, "Fast analysis of microstrip antennas over a frequency band using an accurate MoM matrix interpolation technique," Progress In Electromagnetics Research, Vol. 109, 301-324, 2010.
doi:10.2528/PIER10081107        Google Scholar

11. Alavikia, B. and O. M. Ramahi, "Electromagnetic scattering from cylindrical objects above a conductive surface using a hybrid ¯niteelement-surface integral equation method," Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 28, 2510-2518, 2011.
doi:10.1364/JOSAA.28.002510        Google Scholar

12. Cui, Z. W., Y. P. Han, C. Y. Li, and W. J. Zhao, "Cui, Z. W., Y. P. Han, C. Y. Li, and W. J. Zhao, E±cient analysis of scattering from multiple 3-D cavities by means of a FE-BI-DDM method," Progress In Electromagnetics Research, Vol. 116, 425-439, 2011.        Google Scholar

13. Li, J., L. X. Guo, Q. He, and B. Wei, "Electromagnetic scattering from randomly rough surfaces with hybrid FEM/BIE," Chinese Physics Letters, Vol. 28, 104101-1-104101-4, 2011.        Google Scholar

14. Ping, X. W., T. J. Cui, and W. B. Lu, "The combination of BCGSTAB with multifrontal algorithm to solve FEBI-MLFMA linear systems arising from inhomogeneous electromagnetic scattering problems," Progress In Electromagnetics Research, Vol. 93, 91-105, 2009.
doi:10.2528/PIER09050604        Google Scholar

15. Thorsos, E. I., "The validity of the Kirchho® approximation for rough surface scattering using a Gaussian roughness spectrum," Journal of the Acoustical Society of America, Vol. 83, No. 1, 78-92, 1988.
doi:10.1121/1.396188        Google Scholar

16. Jin, J. M., The Finite Element Method in Electromagnetics, John Wiley, 2002.