A Novel Multibranch-Linear-Linear Basis Function Based Adaptive Accuracy Enhanced Method for MFIE and CFIE From Multiscale PEC Targets

作者

  • Yu Wang Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China
  • Jie Cheng Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China and Key Laboratory for Physical Electronics and Devices of the Ministry of Education School of Electronic Science and Engineering, Faculty of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • Yu Zhang Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China
  • Lei Yu Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China
  • Liu-Yang Shen Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China
  • Sheng Liu Key Laboratory of Advanced Science and Technology on High Power Microwave Northwest Institute of Nuclear Technology, Xi’an 710049, China

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https://doi.org/10.13052/2026.ACES.J.410501

关键词:

Adaptive accuracy enhanced (AAE) method, combined-field integral equation (CFIE), magnetic-field integral equation (MFIE), multibranch RWG basis function (MB-LL), multiscale objects

摘要

In this paper, we propose a novel Multibranch-Linear-Linear basis function based adaptive accuracy enhanced (MB-LLB-AAE) method to solve the scattering problem from multiscale perfect electric conductor (PEC) targets. The calculation accuracy of traditional magnetic-field integral equation (MFIE) and combined field integral equation (CFIE) is not as good as that of electric-field integral equation (EFIE) under the same mesh size. The proposal of MBLL basis function has solved the accuracy problem of MFIE and CFIE when calculating multiscale PEC targets to a certain extent. However, a MB-LL basis function has two unknowns on a common edge, thus generating a prohibitive computational cost when calculating multiscale targets. Based on this problem, we propose the novel MB-LLB-AAE method, which not only effectively reduces the consumption when calculating multiscale targets, but also maintains an accuracy similar to that of using the MB-LL basis function only. Several numerical examples prove the advantages of the proposed method.

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Yu Wang is a doctoral graduate from Xi’an University of Electronic Science and Technology, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology, mainly engaged in research on electromagnetic calculation and electromagnetic compatibility.

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Jie Cheng, doctor, studied at Xi’an Jiaotong University, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology.

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Yu Zhang is a doctoral graduate from National University of Defense Technology, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology, mainly engaged in research on electromagnetic compatibility.

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Lei Yu is graduate from Army Engineering University, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology, mainly engaged in research on electrical system.

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Liu-Yang Shen is a doctoral graduate from Lanzhou University, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology, mainly engaged in research on ionization protection.

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Sheng Liu is a doctoral graduate from Tsinghua University, China. Currently, they work at the Key Laboratory of Advanced Science and Technology on High Power Microwave of Northwest Institute of Nuclear Technology, mainly engaged in research on drive source technology.

参考

K. Majcher, M. Musiał, W. Pakos, and T. Trapko, “A systematic review of HPM energy absorbers for building applications,” Energies, vol. 14, no. 19, pp. 6061–6083, Sep. 2021.

Q. Guo, J. Su, Z. Li, J. Song, and Y. Guan, “Miniaturized-element frequency-selective rasorber design using characteristic modes analysis,” IEEE Trans. Antennas Propag., vol. 68, no. 9, pp. 6683–6693, Sep. 2020.

Q. Guo, Z. Li, J. Su, L. Y. Yang, and J. Song, “Dual-polarization absorptive/transmissive frequency selective surface based on tripole elements,” IEEE Antennas Wireless Propag. Lett., vol. 18, no. 5, pp. 961–965, May 2019.

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

P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, “Surface integral equation formulations for solving electromagnetic scattering problems with iterative methods,” Radio Sci., vol. 40, no. 06, pp. 1–19, Dec. 2005.

P. Yla-Oijala and M. Taskinen, “Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects,” IEEE Trans. Antennas Propag., vol. 53, no. 10, pp. 3316–3323, Oct. 2005.

W. C. Chew, Waves and Fields in Inhomogeneous Media. Berlin, Germany: Van Nostrand Reinhold, 1990, Reprinted by IEEE Press, 1995.

W. C. Chew, C. Davis, K. Warnick and L. Gürel, “EFIE and MFIE, why the difference?” in Proc. IEEE Antennas Propag. Soc. Int. Symp. USNC/URSI Nat. Radio Sci. Meeting, San Diego, CA, USA, pp. 1–2, July 2008.

P. Yla-Oijala and M. Taskinen, “Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects,” IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1168–1173, Mar. 2005.

J. M. Rius, E. Ubeda, and J. Parrón, “On the testing of the magnetic field integral equation with RWG basis functions in method of moments,” IEEE Trans. Antennas Propag., vol. 49, no. 11, pp. 1550–1553, Nov. 2001.

L. Gurel and O. Ergul, “Singularity of the magnetic-field integral equation and its extraction,” IEEE Antennas Wireless Propag. Lett., vol. 4, pp. 229–232, 2005.

S. Yan, J.-M. Jin, and Z. Nie, “Improving the accuracy of the second-kind Fredholm integral equations by using the Buffa-Christiansen functions,” IEEE Trans. Antennas Propag., vol. 59, no. 4, pp. 1299–1310, Apr. 2011.

O. Ergul and L. Gurel, “The use of curl-conforming basis functions for the magnetic-field integral equation,” IEEE Trans. Antennas Propag., vol. 54, no. 7, pp. 1917–1926, July 2006.

E. Ubeda and J. M. Rius, “Novel monopolar MoM-MFIE discretization for the scattering analysis of small objects,” IEEE Trans. Antennas Propag., vol. 54, no. 1, pp. 50–57, Jan. 2006.

O. Ergul and L. Gurel, “Solid-angle factor in the magnetic-field integral equation,” Microw. Opt. Technol. Lett., vol. 45, no. 5, pp. 452–456, June 2005.

O. Ergul and L. Gurel, “Improving the accuracy of the MFIE with the choice of basis functions,” Proc. IEEE Antennas and Propagation Soc. Int. Symp., vol. 3, pp. 3389–3392, 2004.

K. Cools, F. P. Andriulli, D. De Zutter, and E. Michielssen, “Accurate and conforming mixed discretization of the MFIE,” IEEE Antennas Wireless Propag. Lett., vol. 10, pp. 528–531, 2011.

J. Kornprobst and T. F. Eibert, “An accurate low-order discretization scheme for the identity operator in the magnetic field and combined field integral equations,” IEEE Trans. Antennas Propag., vol. 66, no. 11, pp. 6146–6157, Nov. 2018.

B. Karaosmanoğlu, C. Önol, and Ö. Ergül, “Optimizations of EFIE and MFIE combinations in hybrid formulations of conducting bodies,” Proc. Int. Conf. Electromagn. Adv. Appl., pp. 1276–1279, Oct. 2015.

L. C. Trintinalia and H. Ling, “First order triangular patch basis functions for electromagnetic scattering analysis,” J. Electromagn. Waves Appl., vol. 15, no. 11, pp. 1521–1537, 2001.

Y. Pan, X.-W. Huang, and X.-Q. Sheng, “A simple combined-field integral equation strategy for electromagnetic scattering from PEC objects,” IEEE Trans. Antennas Propag., vol. 69, no. 6, pp. 3611–3616, June 2021.

Z. Peng, K.-H. Lim, and J.-F. Lee, “A discontinuous Galerkin surface integral equation method for electromagnetic wave scattering from nonpenetrable targets,” IEEE Trans. Antennas Propag., vol. 61, no. 7, pp. 3617–3628, July 2013.

E. Ubeda, J. M. Rius, and A. Heldring, “Nonconforming discretization of the electric-field integral equation for closed perfectly conducting objects,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4171–4186, Aug. 2014.

L. Huang, H.-X. Zhang, Y. Liao, L. Zhou, and W.-Y. Yin, “Discontinuous Galerkin method using Laguerre polynomials for solving a time-domain electric field integral equation,” IEEE Antennas Wireless Propag. Lett., vol. 17, no. 5, pp. 865–868, May 2018.

C.-B. Zhang and X.-Q. Sheng, “An efficient discontinuous Galerkin method for cavity design,” IEEE Antennas Wireless Propag. Lett., vol. 20, no. 2, pp. 199–203, Feb. 2021.

S. Huang, G. Xiao, Y. Hu, R. Liu, and J. Mao, “Multibranch Rao-Wilton-Glisson basis functions for electromagnetic scattering problems,” IEEE Trans. Antennas Propag., vol. 69, no. 10, pp. 6624–6634, Oct. 2021.

V. F. Martin, J. M. Taboada, and F. Vipiana, “A multi-resolution preconditioner for non-conformal meshes in the MoM solution of large multi-scale structures,” IEEE Trans. Antennas Propag., vol. 71, no. 12, pp. 9303–9315, Dec. 2023.

Y. Wang, Y.-J. Zou, X.-J. Dang, M.-D. Zhu, and X.-W. Zhao, “A novel multibranch linear-linear basis function for improving the accuracy of multiscale PEC scattering analysis,” IEEE Antennas Wireless Propag. Lett., vol. 23, no. 2, pp. 748–752, Feb. 2024.

M.-D. Zhu, T. K. Sarkar, Y. Zhang, and M. Salazar-Palma, “A novel framework of singularity cancellation transformations for strongly near-singular integrals,” IEEE Trans. Antennas Propag., vol. 69, no. 12, pp. 8539–8550, Dec. 2021.

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已出版

2026-09-19

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[1]
Y. Wang, J. Cheng, Y. Zhang, L. Yu, L.-Y. Shen, 和 S. Liu, 《A Novel Multibranch-Linear-Linear Basis Function Based Adaptive Accuracy Enhanced Method for MFIE and CFIE From Multiscale PEC Targets》, ACES Journal, 卷 41, 期 5, 页 389–397, 9月 2026.

期

2026: Vol 41 Iss 5

栏目

General Submission

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