Forward Scattering from a Three Dimensional Layered Media with Rough Interfaces and Buried Object(s) by FDTD
Keywords:
Buried object, electromagnetic scattering, finite difference time domain (FDTD), imaging, layered media, rough surfacesAbstract
In this paper, the finite difference time domain (FDTD) method is implemented to analyze the scattered field from a three dimensional structure including two-layer rough interfaces with or without buried object(s). The effects of different parameters such as rough interface correlation length as well as its root mean square (rms) height, the moisture content of the soil, also the buried object position and size on the scattered field are studied. Simulations show that by increasing the soil moisture, the level of scattering from the structure (without the buried object) is increased. In addition, it is shown that the same amount of moisture change, but in different percentage level, shows completely different effect on the scattering level. Furthermore, it is observed that changing the correlation length in the small perturbation range does not have a significant effect on the scattering coefficients. Moreover, images from the buried objects are obtained to show the visualization of object observation with different materials in a background. The solution has been validated by the finite integration based commercial software, CST.
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References
D. E. Lawrence and K. Sarabandi, “Electromagnetic scattering from a dielectric cylinder buried beneath a slightly rough surface,” IEEE Transactions on Antennas and Propagation, vol. 50, no. 10, pp. 1368-1376, 2002.
M. A. Fiaz, F. Frezza, L. Pajewski, C. Ponti, and G. Schettini, “Scattering by a circular cylinder buried under a slightly rough surface: The cylindricalwave approach,” IEEE Transactions on Antennas and Propagation, vol. 60, no. 6, pp. 2834-2842, 2012.
J. T. Johnson and R. J. Burkholder, “Coupled canonical grid/discrete dipole approach for computing scattering from objects above or below a rough interface,” IEEE Transactions on Geoscience and Remote Sensing, vol. 39, no. 6, pp. 1214-1220, 2001.
C. H. Kuo and M. Moghaddam, “Scattering from multilayer rough surfaces based on the extended boundary condition method and truncated singular value decomposition,” IEEE Transactions on Antennas and Propagation, vol. 54, no. 10, pp. 2917-2929, 2006
V. Jandhyala, “Fast multilevel algorithms for the efficient electromagnetic analysis of quasi-planar structures,” Department of Electrical and Computer Engineering, University of Illinois at UrbanaChampaign, 1998.
V. Jandhyala, B. Shanker, E. Michielssen, and W. C. Chew, “Fast algorithm for the analysis of scattering by dielectric rough surfaces,” JOSA A, vol. 15, no. 7, pp. 1877-1885, 1998.
M. El-Shenawee, C. Rappaport, E. L. Miller, and M. B. Silevitch, “Three-dimensional subsurface analysis of electromagnetic scattering from penetrable/PEC objects buried under rough surfaces: Use of the steepest descent fast multipole method,” IEEE Transactions on Geoscience and Remote Sensing, vol. 39, no. 6, pp. 1174-1182, 2001.
H. T. Chen and G.-Q. Zhu, “Model the electromagnetic scattering from three-dimensional PEC object buried under rough ground by mom and modified PO hybrid method,” Progress In Electromagnetics Research, vol. 77, pp. 15-27, 2007.
H. Ye and Y.-Q. Jin, “A hybrid analytic-numerical algorithm of scattering from an object above a rough surface,” IEEE Transactions on Geoscience and Remote Sensing, vol. 45, no. 5, pp. 1174-1180, 2007.
A. K. Fung, M. R. Shah, and S. Tjuatja, “Numerical simulation of scattering from three-dimensional randomly rough surfaces,” IEEE Transactions on Geoscience and remote sensing, vol. 32, no. 5, pp. 986-994, 1994.
J. He, T. Yu, N. Geng, and L. Carin, “Method of moments analysis of electromagnetic scattering from a general three-dimensional dielectric target embedded in a multilayered medium,” Radio Science, vol. 35, no. 2, pp. 305-313, 2000.
M. El-Shenawee, “Polarimetric scattering from two-layered two dimensional random rough surfaces with and without buried objects,” IEEE Transactions on Geoscience and Remote Sensing, vol. 42, no. 1, pp. 67-76, 2004.
K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Transactions on Antennas and Propagation, vol. 14, no. 3, pp. 302-307, 1966.
L. Kuang and Y.-Q. Jin, “Bistatic scattering from a three-dimensional object over a randomly rough surface using the FDTD algorithm,” IEEE Transactions on Antennas and Propagation, vol. 55, no. 8, pp. 2302-2312, 2007.
L.-X. Guo, J. Li, and H. Zeng, “Bistatic scattering from a three dimensional object above a twodimensional randomly rough surface modeled with the parallel FDTD approach,” JOSA A, vol. 26, no. 11, pp. 2383-2392, 2009.
S. Mirjahanmardi, A. Tavakoli, H. Zamani, and P. Dehkhoda, “Electromagnetic scattering from a buried sphere in a two-layered rough ground,” in Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2015 IEEE International Symposium on. IEEE, pp. 506-507, 2015.
S. Mirjahanmardi, A. Tavakoli, and P. Dehkhoda, “Bistatic scattering from a buried object in a twolayered media with two rough interfaces using FDTD,” ISSEEM, 2014.
A. Z. Elsherbeni and V. Demir, “The finitedifference time-domain method for electromagnetics with MATLAB simulations,” The Institution of Engineering and Technology, 2016.
U. S. Inan and R. A. Marshall, Numerical Electromagnetics: The FDTD Method. Cambridge University Press, 2011.
A. Taflove and S. C. Hagness, Computational Electrodynamics. Artech House, 2005.
R. Courant, K. Friedrichs, and H. Lewy, “On the partial difference equations of mathematical physics,” California Univ. Los Angeles, Tech. Rep., 1959.
J. A. Roden and S. D. Gedney, “Convolutional PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media,” Microwave and Optical Technology Letters, vol. 27, no. 5, pp. 334-338, 2000.
C. A. Balanis, Antenna Theory: Analysis and Design. John Wiley & Sons, 2016.
L. Tsang, J. A. Kong, K.-H. Ding, and C. O. Ao, Scattering of Electromagnetic Waves, Numerical Simulations. John Wiley & Sons, vol. 25, 2004.
J.-J. Wu, “Simulation of rough surfaces with FFT,” Tribology International, vol. 33, no. 1, pp. 47-58, 2000.
J. C. Rautio, “The microwave point of view on software validation,” IEEE Antennas and Propagation Magazine, vol. 38, no. 2, pp. 68-71, 1996.
CST Microwave Studio, ver. 2010, Computer Simulation Technology, Framingham, MA, 2010.
K. Sarabandi and T. Chiu, “Electromagnetic scattering from slightly rough surfaces with inhomogeneous dielectric profiles,” IEEE Transactions on Antennas and Propagation, vol. 45, no. 9, pp. 1419-1430, 1997.
M. T. Hallikainen, F. T. Ulaby, M. C. Dobson, M. A. El-Rayes, and L.-K. Wu, “Microwave dielectric behavior of wet soil-part 1: Empirical models and experimental observations,” IEEE Transactions on Geoscience and Remote Sensing, no. 1, pp. 25-34, 1985.
