Efficient Method Based on SMW Formula for Analyzing PEC Targets with Partial and Thin Coatings

Authors

  • Xinlei Chen 1Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China 2Key Laboratory of Meteorological Disaster (KLME) Ministry of Education & Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters (CIC-FEMD), Nanjing University of Information Science & Technology, Nanjing, China 3State Key Laboratory of Millimeter Waves, Southeast University, China
  • Zhiwen Dong Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
  • Guiyue Yu Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
  • Ziwei Li Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
  • Lichang Lu Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China
  • Changqing Gu Key Laboratory of Radar Imaging and Microwave Photonics, College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

DOI:

https://doi.org/10.13052/2021.ACES.J.361002

Keywords:

Electromagnetic scattering, method of moments, Sherman-Morrison-Woodbury formula, thin coating.

Abstract

The analysis of the electromagnetic scattering from the perfect electric conductor (PEC) partially coated with thin material is a significant task in stealth design. Previous research has shown the scattering can be calculated by only discretizing the current on PEC in the case of thin coating layers. However, it has a downside that it will recalculate a complete solution when the geometry or electromagnetic properties of the coating changes. In this paper, a Sherman-Morrison-Woodbury (SMW) formula-based method is proposed to address this problem. According to the SMW formulation, it can reuse the inverse impedance matrix of the PEC part to efficiently obtain the solutions when local coating changes, so it can avoid the subsequent complete inverse of the new impedance matrix. Furthermore, it employs the fast direct solution method based on the SMW formulation to accelerate the calculation of inverse matrix of the PEC part. Numerical results demonstrate the performance of the proposed method.

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References

W. C. Gibson, The Method of Moments in Electromagnetics. Boca Raton, FL, USA: CRC Press, Nov. 2007.

O. Ergul and L. Gurel, The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems. John Wiley & Sons, Apr. 2014.

C.C. Lu, and W.C. Chew, “A coupled surface-volume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets,” IEEE Trans. Antennas Propag., vol. 48, no. 12, pp. 1866-1868, Dec. 2000.

I. Chiang, and W.C. Chew, “Thin dielectric sheet simulation by surface integral equation using modified RWG and pulse bases,” IEEE Trans. Antennas Propag., vol. 54, no. 7, pp. 1927-1934, Jul. 2006.

I. Chiang, and W.C. Chew, “A coupled PEC-TDS surface integral equation approach for electromagnetic scattering and radiation from composite metallic and thin dielectric objects,” IEEE Trans. Antennas Propag., vol. 54, no. 11, pp. 3511-3516, Nov. 2006.

S. Tao, Z. Fan, W. Liu, and R. Chen, “Electromagnetic scattering analysis of a conductor coated by multilayer thin materials,” IEEE Antennas Wirel. Propag. Lett., vol. 12, pp. 1033-1036, Aug. 2013.

S. Tao, D. Ding, and R. Chen, “Electromagnetic scattering analysis of a conductor coated by thin bi-isotropy media,” Microw. Opt. Technol. Lett., vol. 55, no. 10, pp. 2354-2358, Oct. 2013.

W. Hager, “Updating the inverse of a matrix,” SIAM Rev., vol. 31, no. 2, pp. 221-239, Jun. 1989.

E. Yip, and B. Tomas, “Obtaining scattering solution for perturbed geometries and materials from moment method solutions,” ACES J., vol. 3, no. 2, pp. 95-118, Jul. 1988.

A. Boag, A. Boag, E. Michielssen, and R. Mittra. “Design of electrically loaded wire antennas using genetic algorithms,” IEEE Trans. Antennas Propag., vol. 44, no. 5, pp. 687-695, May. 1996.

X. Chen, X. Liu, Z. Li, and C. Gu, “Efficient calculation of interior scattering from cavities with partial IBC wall,” Electronics Letters, vol. 56, no. 17, pp. 871-873, Aug. 2020.

X. Chen, C. Gu, Z. Li, and Z. Niu, “Accelerated direct solution of electromagnetic scattering via characteristic basis function method with Sherman-Morrison-Woodbury formula-based algorithm,” IEEE Trans. Antennas Propag., vol. 64, no. 10, pp. 4482-4486, Oct. 2016.

W. Y. Kong, J. Bremer, and V. Rokhlin, “An adaptive fast direct solver for boundary integral equations in two dimensions,” Appl. Comput. Harmon. Anal., vol. 31, no. 3, pp. 346-369, Jan. 2011.

S. Ambikasaran, and E. Darve, “An O(NlogN) fast direct solver for partial hierarchically semi-separable matrices,” J. Sci. Comput., vol. 57, no. 3, pp. 477-501, Apr. 2013.

M. Bebendorf, “Approximation of boundary element matrices,” Numer. Math., vol. 86, no. 4, pp. 565-589, Jun. 2000.

K. Zhao, M. Vouvakis, and J.-F. Lee, “The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems,” IEEE Trans. Electromagn. Compat., vol. 47, no. 4, pp. 763-773, Nov. 2005.

S. Rao, D. Wilton, and A. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag., vol. AP-30, no. 3, pp. 409-418, May. 1982.

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Published

2021-11-21

How to Cite

[1]
X. . Chen, Z. . Dong, G. . Yu, Z. . Li, L. . Lu, and C. . Gu, “Efficient Method Based on SMW Formula for Analyzing PEC Targets with Partial and Thin Coatings”, ACES Journal, vol. 36, no. 10, pp. 1274–1280, Nov. 2021.

Issue

2021: Vol 36 Iss 10

Section

Articles