A Hybrid Approach for Rapid Computation of Monostatic Radar Cross Section Problems with Characteristic Basis Function Method and Singular Value Decomposition

Authors

  • Wenyan Nie School of Mechanical and Electrical Engineering Huainan Normal University, Huainan, 232001, China
  • Zhonggen Wang School of Electrical and Information Engineering Anhui University of Science and Technology, Huainan, 232001, China

Keywords:

Characteristic basis function method, characteristic basis functions, radar cross section, singular value decomposition

Abstract

Characteristic basis function method (CBFM) is one of the effective methods to analyze wide-angle electromagnetic scattering characteristics of objects. In the general CBFM, a mass of plane waves is required to construct the characteristic basis function (CBFs) for a large-scale target resulting in a large number of CBFs. Furthermore, the accuracy cannot be further enhanced via general method by increasing the number of incident plane waves to obtain adequate CBFs. In order to alleviate these problems, a hybrid approach is proposed for fast computation of monostatic radar cross section of objects. The proposed method applies the singular value decomposition to compress the excitation matrix and introduces a new method to construct the CBFs considering the mutual interaction among blocks. Under such circumstances, the number of matrix equation solutions and the number of CBFs are both significantly reduced. Thus, the time of constructing CBFs and the complexity of reduced matrix both are reduced. Numerical examples verify and demonstrate that the proposed method is credible both in terms of accuracy and efficiency.

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References

R. F. Harrington, Field Computation by Method of Moments. IEEE Press, New York, NY, USA, 1992.

R. Coifman, V. Rokhlin, and S. Wandzura, “The fast multipole method for the wave equation: A pedestrian prescription,” IEEE Antennas and Propagation Magazine, vol. 53, no. 3, pp. 7-12, 1993.

E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, “Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems,” Radio Science, vol. 31, no. 5, pp. 1225-1251, 1996.

J. M Song, C. C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1488-1493, 1997.

K. Zhao, M. N. Vouvakis, and J.-F. Lee, “The adaptive cross approximation algorithm for accelerated method of moments computations of EMC,” IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 4, pp. 763-773, 2005.

A. Freni, P. De Vita, P. Pirinoli, et al., “Fastfactorization acceleration of MoM compressive domain-decomposition,” IEEE Trans. Antennas Propag., vol. 59, no. 1 2, pp. 4588-4599, 2011.

J. Hu, R. Zhao, M. Tian, et al., “Domain decomposition method based on integral equation for solution of scattering from very thin conducting cavity,” IEEE Trans. Antennas Propag., vol. 62, no. 10, pp. 5344-5348, 2014.

X. Chen, C. Gu, Z. Niu, Y. Niu, and Z. Li, “Fast dipole method for electromagnetic scattering from perfect electric conducting targets,” IEEE Trans. Antennas Propag., vol. 60, no. 2, pp. 1186-1191, 2012.

A. Schroder, H. D. Bruxns, and C. Schuster, “A hybrid approach for rapid computation of two-dimensional monostatic radar cross section problems with the multilevel fast multipole algorithm,” IEEE Trans. Antennas Propag., vol. 60, no. 12, pp. 6058-6061, 2012.

X. M. Pan and X. Q. Sheng, “Fast solution of linear systems with many right hand sides based on skeletonization,” IEEE Antennas Wireless Propag. Lett., vol. 15, no. 1, pp. 301-304, 2016.

X. M. Pan, S. L. Huang, and X. Q. Sheng, “Wide angular sweeping of dynamic electromagnetic responses from large targets by MPI parallel skeletonization,” IEEE Trans. Antennas Propag., vol. 66, no. 3, pp. 1619-1623, 2018.

E. Lucente, A. Monorchio, and R. Mittra, “An iteration free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems,” IEEE Trans. Antennas Propag., vol. 56, no. 4, pp. 999-1007, 2008.

V. V. S. Prakash and R. Mittra, “Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations,” Microwave and Optical Technology Letters, vol. 36, no. 2, pp. 95-100, 2003.

Y. F. Sun, K. Lu, and G. H. Wang, “Analysis of electromagnetic scattering from dielectric objects using multilevel characteristic basis function method,” Chinese Journal of Radio Science, vol. 28, no. 1, pp. 92-96, 2009.

E. Garcia, C. Delgado, L. Lozano, I. GonzalezDiego, and M. F. Catedra, “An efficient hybridscheme combining the characteristic basis function method and the multilevel fast multipole algorithm for solving bistatic RCS and radiation problems,” Progress In Electromagnetics Research B, vol. 34, pp. 327-343, 2011.

T. Tanaka, Y, Inasawa, Y, Nishioka, and H. Miyashita, “Improved primary characteristic basic function method for monostatic radar cross section analysis of specific coordinate plane,” IEICE Transactions on Electronics, vol. E99-C, no. 1, pp. 28-35, 2016

G. Bianconi, C. Pelletti, and R. Mittra, “A highorder characteristic basis function algorithm for an efficient analysis of printed microwave circuits and antennas etched on layered media,” IEEE Antennas Wireless Propag. Lett., vol. 12, no. 12, pp. 543- 546, 2013.

Z. G. Wang, Y. F. Sun, and G. H. Wang, “Analysis of electromagnetic scattering from perfect electric conducting targets using improved characteristic basis function method and fast dipole method,” J. Electromagn. Waves Appl., vol. 28, no. 7, pp. 893- 902, 2014.

K. Konno and Q. Chen, “The numerical analysis of an antenna near a dielectric object using the higher order characteristic basis function method combined with a volume integral equation,” IEICE Transactions on Communications, vol. E97-B, no. 10, pp. 2066-2073, 2014.

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Published

2019-06-01

How to Cite

[1]
Wenyan Nie and Zhonggen Wang, “A Hybrid Approach for Rapid Computation of Monostatic Radar Cross Section Problems with Characteristic Basis Function Method and Singular Value Decomposition”, ACES Journal, vol. 34, no. 06, pp. 844–850, Jun. 2019.

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