Fast Analysis of Broadband Electromagnetic Scattering Characteristics of Electrically Large Targets using Precorrected Fast Fourier Transform Algorithm based on Near Field Matrix Interpolation Method

Authors

  • Wei Bin Kong 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
  • Chuan Jie Chen College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China
  • Na Li College of Information Engineering Yancheng Optical Fiber Sensing and Application Engineering Technology Research Center Yancheng Institute of Technology, Jiangsu Yancheng, 224051, China
  • Wen Wen Yang School of Information Science and Technology, Nantong University, Jiangsu Nantong, 226019, China

Keywords:

Broadband electromagnetic scattering, interpolation technique, near matrix, P-FFT

Abstract

In this paper, a new method is proposed to analyze the broadband electromagnetic characteristics of electrically large targets by combining the precorrected- FFT algorithm (P-FFT) with the near-field matrix interpolation technique. The proposed method uses the precorrected-FFT algorithm to reduce the storage and accelerate the matrix vector product of the far field. In order to make the precorrected-FFT algorithm can calculate the broadband characteristics of electrically large targets more quickly, the matrix interpolation method is used to interpolate the near-field matrix of the precorrected-FFT algorithm to improve the efficiency of calculation. The numerical results obtained validate the proposed method and its implementation in terms of accuracy and runtime performance.

Downloads

Download data is not yet available.

References

R. F. Harrington, Field Computation by Moment Methods. New York, NY, USA: MacMillian, 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, Oct. 1997.

C. Delgado and F. Catedra, “Fast monostatic RCS computation using the near-field sparse approximate inverse and the multilevel fast multipole algorithm,” Applied Computational Electromagnetics Society, vol. 35, no. 7, pp. 735-741, 2020.

L. Li, H. G. Wang, and C. H. Chan, “An improved multilevel Green’s function interpolation method with adaptive phase compensation,” IEEE Trans. Antennas Propag., vol. 56, no. 6, pp. 1381-1393, 2008.

E. Bleszybski, M, Bleszynski, and T. Jaroszewicz, “AIM: Adaptive integral method for solving largescale electromagnetic scattering and radiation problems,” Radio Science, 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, pp. 1059-1072, 1997.

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

C. F. Wang, F. Ling, and J. M. Jin, “A fast fullwave analysis of scattering and radiation from large finite arrays of microstrip antennas,” IEEE Trans. Antennas Propag., vol. 46, no. 10, pp. 1467- 1474, Oct. 1998.

S. Seung Mo and J. F. Lee, “A fast IE-FFT algorithm for solving PEC scattering problems,” IEEE Trans. Magn., vol. 41, no. 5, pp. 1476-1479, May 2005.

M. Li, R. S. Chen, H. Wang, Z. Fan, and Q. Hu, “A multilevel FFT method for the 3-D capacitance extraction,” IEEE Trans. Comput. Aided Design Integr., vol. 32, no. 2, pp. 318-322, Feb. 2013.

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,” 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. 61, no. 9, pp. 4641-4652, 2013.

W. B. Kong, H. X. Zhou, K. L. Zheng, X. Mu, and W. Hong, “FFT-based method with near-matrix compression,” IEEE Trans. Antennas Propag., vol. 65, no. 11, pp. 5975-5983, 2017.

M. Li, T. Su, and R. S. Chen, “Equivalence principle algorithm with body of revolution equivalence surface for the modeling of large multiscale structures,” IEEE Trans. Antennas Propag., vol. 64, no. 5, pp. 1818-1828, 2016.

M. Li, M. A. Francavilla, R. S. Chen, and G. Vecchi, “Wideband fast kernel-independent modeling of large multiscale structures via nested equivalent source approximation,” IEEE Trans. Antennas Propag., vol. 63, no. 5, pp. 2122-2134, 2015.

H. X. Zhou, G. Y. Zhu, W. B. Kong, and W. Hong, “An upgraded ACA algorithm in complex field and its statistical analysis,” IEEE Trans. Antennas Propag., vol. 65, no. 5, pp. 2734-2739, 2017.

A. Heldring, E. Ubeda, and J. M. Rius, “Stochastic estimation of the frobenius norm in the ACA convergence criterion,” IEEE Trans. Antennas Propag., vol. 63, no. 3, pp. 1155-1158, 2015.

H. Rasool, J. Chen, X. M. Pan, and X. Q. Sheng, “Skeletonization accelerated solution of CrankNicolson method for solving three-dimensional parabolic equation,” Applied Computational Electromagnetics Society, vol. 35, no. 9, pp. 1006- 1011, 2020.

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, 2009.

W. D. Li, H. X. Zhou, J. Hu, Z. Song, and W. Hong, “Accuracy improvement of cubic polynomial inter/extrapolation of MoM matrices by optimizing frequency samples,” IEEE Antennas Wireless Propag. Lett., vol. 10, pp. 888-891, 2011.

Downloads

Published

2021-10-31

How to Cite

[1]
W. B. . Kong, “Fast Analysis of Broadband Electromagnetic Scattering Characteristics of Electrically Large Targets using Precorrected Fast Fourier Transform Algorithm based on Near Field Matrix Interpolation Method”, ACES Journal, vol. 36, no. 07, pp. 928–934, Oct. 2021.

Issue

2021: Vol 36 Iss 7

Section

Articles