Shape Reconstruction of Three Dimensional Conducting Objects Using Opposition-Based Differential Evolution
Keywords:
Inverse scattering, NURBS modeling, opposition-based differential evolution, physical optics approximationAbstract
In this paper, shape reconstruction of three dimensional conducting objects using radar cross section (RCS) of the scatterer and opposition-based differential evolution is investigated. The shape of the scatterer is modeled with nonuniform rational B-spline (NURBS) surfaces composed of more than one Bezier patches. NURBS are piecewise polynomial with unknown coefficients that are determined in the procedure of shape reconstruction. Opposition-based differential evolution (ODE) is then employed as an optimization tool to find the unknown coefficients. Physical optics approximation is used to predict RCS of the large conducting scatterer in various directions and at multiple frequencies. The effect of noise is also considered in the inverse process.
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P. Kosmas and C. M. Rappaport, “Time reversal with the fdtd method for microwave breast cancer detection,” IEEE Transactions on Microwave Theory and Techniques, vol. 53, no. 7, pp. 2317- 2323, July 2005.
I. T. Rekanos, “Shape reconstruction of a perfectly conducting scatterer using differential evolution and particle swarm optimization,” IEEE Trans. Geosci. Remote Sens., vol. 46, no. 7, pp. 1967-1974, July 2008.
A. Semnani, I. T. Rekanos, M. Kamyab, and M. Moghaddam, “Solving inverse scattering problems based on truncated cosine fourier and cubic b-spline expansions,” IEEE Trans. Antennas Propagat., vol. 60, no. 12, pp. 5914-5923, 2012.
C.-C. Chiu and R.-H. Yang, “Inverse scattering of biaxial cylinders,” Microwave and Optical Technology Letters, vol. 9, no. 5, pp. 292-302, 1995.
I. T Rekanos, “On-line inverse scattering of conducting cylinders using radial basis-function neural networks,” Microwave and Optical Technology Letters, vol. 28, no. 6, pp. 378-380, 2001.
A. Saeedfar and K. Barkeshli, “Shape reconstruction of three-dimensional conducting curved plates using physical optics, nurbs modeling, and genetic algorithm,” IEEE Trans. Antennas Propagat., vol. 54, no. 9, pp. 2497- 2507, Sept. 2006.
G. E. Farin, Curves and Surfaces for ComputerAided Geometric Design: A Practical Guide. Number v. 1 in Computer Science and Scientific Computing. Academic Press, 1997.
J. Perez and M. F. Catedra, “Application of physical optics to the rcs computation of bodies modeled with nurbs surfaces,” IEEE Trans. Antennas Propagat., vol. 42, no. 10, pp. 1404- 1411, Oct. 1994.
F. S. de Adana and O. Gutierrez, Practical Applications of Asymptotic Techniques in Electromagnetics. Artech House Electromagnetic Analysis Series. Artech House, 2010.
F. S. de Adana, I. G. Diego, O. G. Blanco, P. Lozano, and M. F. Catedra, “Method based on physical optics for the computation of the radar cross section including diffraction and double effects of metallic and absorbing bodies modeled with parametric surfaces,” IEEE Trans. Antennas Propagat., vol. 52, no. 12, pp. 3295-3303, Dec. 2004.
W. Gordon, “Far-field approximations to the kirchoff-Helmholtz representations of scattered fields,” IEEE Trans. Antennas Propagat., vol. 23, no. 4, pp. 590-592, July 1975.
S. Rahnamayan, H. R. Tizhoosh, and M. M. A. Salama, “Opposition-based differential evolution,” IEEE Transactions on Evolutionary Computation, vol. 12, no. 1, pp. 64-79, Feb. 2008.
