Fast Wideband Electromagnetic Analysis Using the Interpolation Technique and Fast Generating Matrix Method

Authors

  • Wei Bin Kong 1 College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China , 2 State Key Laboratory of Millimeter Waves Southeast University, Jiangsu Nanjing, 210096, China
  • Xiao Fang Yang College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China
  • Feng Zhou College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China
  • Jia Ye Xie Industrial Center Nanjing Institute of Technology, Jiangsu Nanjing, 211167, China
  • Ru Gang Wang College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China
  • Kai Lai Zheng College of Electronic and Optical Engineering & College of Microelectronics Nanjing University of Posts and Telecommunications, Jiangsu Nanjing, 210023, China

Keywords:

Electromagnetic scattering, FGG-FG-FFT, frequency sweeps, interpolation technique, near matrix

Abstract

A fast wideband electromagnetic scattering analysis method based on the interpolation technique and fast generating matrix method is proposed. By factoring out the dominant phase term, the matrix element is transformed into the element which fluctuates slowly with frequency. The matrices over the frequency band are fast generated via interpolation technique. Instead of employing different meshing grids at different frequencies, this new method requires only one mesh generated at the highest frequency of the given bandwidth. This approach not only saves much work in geometrical modeling but also leads to less time for wideband scattering problem. The proposed algorithm is implemented in the platform of FGG-FG-FFT, which is not sensitive to both the grid spacing and the expansion order. A method for fast generating matrix also is introduced to speed up filling the near matrix. Consequently, it can not only reduce the impedance matrix filling time in the whole frequency band but also accelerate the matrix filling process at frequency interpolation sampling points. Several numerical examples are provided to demonstrate the correctness and the efficiency of the proposed method for the wideband scattering analysis.

Downloads

Download data is not yet available.

References

R. F. Harrington, Field Computation by Moment Methods. The MacMillian, New York, 1968.

N. Engheta, W. D. Murphy, V. Rokhlin, and M. S. Vassiliou, “The fast multipole method (FMM) for electromagnetic scattering problems,” IEEE Trans. Antennas Propag., vol. 40, no. 6, pp. 634-641, June 1992.

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, Otc. 1997.

W. B. Kong, H. X. Zhou, K. L. Zheng, and W. Hong, “Analysis of multiscale problems using the MLFMA with the assistance of the FFT-Based method,” IEEE Trans. Antennas Propag., vol. 63, no. 9, pp. 4184-4188, Sep. 2015.

W. B. Kong, H. X. Zhou, W. D. Li, G. Hua, and W. Hong, “The MLFMA equipped with a hybrid tree structure for the multiscale EM scattering,” International Journal of Antennas and Propagation, vol. 2014, Article ID 281303, 2014.

X. M. Pan, J. G. Wei, Z. Peng, and X. Q. Sheng, “A fast algorithm for multiscale electromagnetic problems using interpolative decomposition and multilevel fast multipole algorithm,” Radio Sci., vol. 47, RS1011, 2012.

E. Bleszybski, M. Bleszynski, and T. Jaroszewicz, “AIM: Adaptive integral method for solving largescale electromagnetic scattering and radiation problems,” Radio Sci., vol. 31, pp. 1225-1251, 1996.

J. R. Phillips and J. K. White, “A precorrected-FFT method for electrostatic analysis of complicated 3-D structures,” IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, vol. 16, 1059-1072, 1997.

W. J. Yu, C. H. Yan, and Z. Y. Wang, “Fast multifrequency extraction of 3-D impedance based on boundary element method,” Microw. Opt. Tech. Lett., vol. 50, no. 8, pp. 2191-2197, Aug. 2008.

S. M. Seo and J. F. Lee, “A fast IE-FFT algorithm for solving PEC scattering problems,” IEEE Trans. Magn., vol. 41, vol. 5, pp. 1476-1479, May 2005.

J. Y. Xie, H. X. Zhou, W. B. Kong, J. Hu, Z. Song, W. D. Li, and W. Hong, “A novel FG-FFT method for the EFIE,” in Int. Conf. Comput. ProblemSolving (ICCP), 2012.

J. Y. Xie, H. X. Zhou, W. Hong, W. D. Li, and G. Hua, “A highly accurate FGG-FG-FFT for the combined field integral equation,” IEEE Trans. Antennas Propag., vol. 6, no. 9, pp. 4641-4652, Sep. 2013.

L. J. Jiang and W. C. Chew, “A mixed-form fast multipole algorithm,” IEEE Trans. Antennas Propagat., vol. 53, no. 12, pp. 4145-4156, Dec. 2005.

C. J. Reddy, M. D. Deshpande, C. R. Cockrell, and F. B. Beck, “Fast RCS computation over a frequency band using method of moments in conjunction with asymptotic waveform evaluation technique,” IEEE Trans. Antennas Propag., vol. 46, no. 8, pp. 1229- 1233, Aug. 1998.

R. Bao, A. Q. Wang, and Z. X. Huang, “Fast simulations of electromagnetic scattering from rough surface over a frequency band using asymptotic waveform evaluation technique: horizontal polarization,” J Electromagn. Waves Appl., vol. 32, no. 11, pp. 1379-1388, 2018.

E. K. Miller, “Model-based parameter estimation in electromagnetics: Part I. Background and theoretical develop,” IEEE Antennas Propag. Mag., vol. 40, no. 1, pp. 42-52, Feb. 1998.

E. K. Miller, “Model-based parameter estimation in electromagnetics: Part II. Applications to EM observables,” IEEE Antennas Propag. Mag., vol. 40, no. 2, pp. 51-65, Apr. 1998.

E. K. Mille, “Model-based parameter estimation in electromagnetics: Part III. Applications to EM integral equations,” IEEE Antennas Propag. Mag., vol. 40, no. 3, pp. 49-66, June 1998.

V. V. S. Prakash, “RCS computation over a frequency band using the characteristic basis and model order reduction method,” in Proc. IEEE Antennas Propag. Soc. Int. Symp., vol. 4, pp. 89- 92, 2003.

E. H. Newman, “Generation of wide-band data from the method of moments by interpolating the impedance matrix,” IEEE Trans. Antennas Propag., vol. 36, no. 12, pp. 1820-1824, Dec. 1988.

J. Yeo and R. Mittra, “An algorithm for interpolating the frequency variations of method-ofmoments matrices arising in the analysis of planar microstrip structures,” IEEE Trans. Microw. Theory Tech., vol. 51, no. 3, pp. 1018-1025, Apr. 2003.

W. D. Li, H. X. Zhou, W. Hong, and T. Weiland, “An accurate interpolation scheme with derivative term for generating MoM matrices in frequency sweeps,” IEEE Trans. Antennas Propag., vol. 57, no. 8, pp. 2376-2385, June 2009.

W. D. Li, J. X. Miao, J. Hu, Z. Song, and H. X. Zhou, “An improved cubic polynomial method for interpolating/extrapolating MoM matrices over a frequency band,” Progress in Electromagnetics Research, vol. 117, pp. 267-281, 2011.

Y. L. Xu, H. Yang, X. Liu, and R. J. Shen, “An interpolation scheme for Green’s function and its application in method of moment,” Applied Computational Electromagnetics Society, vol. 33, no. 7, July 2018.

Y. Wang, H. Ling, J. Song, and W. C. Chew, “A frequency extrapolation algorithm for FISC,” IEEE Trans. Antennas Propag., vol. 45, no. 12, pp. 1891- 1893, Dec. 1997.

A. Karwowski, A. Noga, and T. Topa, “Computationally efficient technique for wide-band analysis of grid-like spatial shields for protection against LEMP effects,” Applied Computational Electromagnetics Society, vol. 32, no. 1, pp. 87-92, Jan. 2017.

H. H. Zhang, Z. H. Fan, and R. S. Chen, “Fast wideband scattering analysis based on Taylor expansion and higher-order hierarchical vector basis functions,” IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 579-582, 2015.

G. H. Wang and Y. F. Sun, “Broadband adaptive RCS computation through characteristic basis function method,” Journal of Electrical & Computer Engineering, vol. 2014, pp. 1-5, 2014.

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

Y. Zhang, Electromagnetic Field Parallel Computation. XDUP, Xi An, 2006. (Chinese).

W. D. Li, W. Hong, and H. X. Zhou, “Integral equation-based overlapped domain decomposition method for the analysis of electromagnetic scattering of 3D conducting objects,” Microw. Opt. Tech. Lett., vol. 49, no. 2, pp. 265-274, Dec. 2007.

Downloads

Published

2021-07-18

How to Cite

[1]
Wei Bin Kong, Xiao Fang Yang, Feng Zhou, Jia Ye Xie, Ru Gang Wang, and Kai Lai Zheng, “Fast Wideband Electromagnetic Analysis Using the Interpolation Technique and Fast Generating Matrix Method”, ACES Journal, vol. 33, no. 12, pp. 1360–1367, Jul. 2021.

Issue

Section

Articles