Fast Broadband Scattering Computation for Finite Periodic Arrays using the Characteristic Basis Function Method and the Best Uniform Rational Approximation
DOI:
https://doi.org/10.13052/2024.ACES.J.391001Keywords:
best uniform rational approximation, broadband, characteristic basis function method, Maehly approximationAbstract
In this paper, a hybrid method combining the characteristic basis function method (CBFM) and the best uniform rational approximation (BURA) technique for fast wideband radar cross-section (RCS) prediction of finite periodic arrays is proposed. The traditional CBFM requires reconstructing the reduced matrix at each frequency point, which is very time-consuming when calculating the wideband RCS of the target. By introducing the BURA technique, the hybrid method is proposed to efficiently calculate the wideband RCS. The target is first divided into several easily solvable subdomains. Then, the surface integral equation is solved by the characteristic function method to obtain the equivalent surface current at the Chebyshev node. Afterwards, the surface current in a desired frequency band is represented by the Chebyshev series. To improve accuracy, the Chebyshev series is matched with the Maehly approximation. After obtaining the current coefficients in the whole bandwidth, the current density at any frequency point in the bandwidth can be calculated. Finally, the broadband electromagnetic scattering characteristics of the finite periodic arrays can be obtained.
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K. Niu, Z. J. Xiao, G. Xie, X. G. Ren, Y. S. Li, Z. X. Huang, X. L. Wu, and A. Z. Elsherbeni, “A stochastic FDTD algorithm for uncertainty quantification of electromagnetic-thermal simulation,” IEEE Trans. Microw. Theory Techn., vol. 72, no. 7, pp. 3935-3946, July 2024.
G. Zhu, K. Niu, M. Q. Li, Y. S. Li, X. G. Ren, G. D. Xie, Z. X. Huang, X. L. Wu, and A. Z. Elsherbeni, “High-order ME-CFS-PML implementations for terminating the FDTD domain composed of arbitrary media,” IEEE Trans. Microw. Theory Techn., vol. 72, no. 4, pp. 2414-2426, Oct. 2023.
R. F. Harrington and J. L. Harrington, Field Computation by Moment Methods. Oxford: Oxford University Press, 1996.
J. Song, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1488-1493, 2002.
C. B. Wu, L. Guan, P. F. Gu, and R. S. Chen, “Application of parallel CM-MLFMA method to the analysis of array structures,” IEEE Trans. Antennas Propag., vol. 69, no. 9, pp. 6116–6121, Sep. 2021.
K. Zhao, M. N. 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.
M. Bebendorf, “Approximation of boundary element matrices,” Numer. Math., vol. 86, no. 4, pp. 565-589, June 2000.
X. Wang, D. H. Werner, and J. P. Turpin, “A fast analysis of scattering from large-scale finite periodic microstrip patch arrays arranged on a non-orthogonal lattice using sub-entire domain basis functions,” IEEE Trans. Antennas Propag., vol. 62, no. 5, pp. 2543-2552, 2014.
E. Garc’1a, C. Delgado, and F. C’atedra, “Efficient iterative analysis technique of complex radome antennas based on the characteristic basis function method,” IEEE Trans. Antennas Propag., vol. 69, no. 9, pp. 5881-5891, Sep. 2021.
C. Li, M. S. Sharawi, and R. Mittra, “Fast computation of electromagnetic scattering from dielectric objects using quadrilateral piecewise sinusoidal basis and characteristic basis function method,” IEEE Trans. Antennas Propag., vol. 70, no. 7, pp. 5683-5692, July 2022.
J. Ling, S. X. Gong, X. Wang, B. Lu, and W. T. Wang, “A novel two-dimensional extrapolation technique for fast and accurate radar cross section computation,” IEEE Antennas Wireless Propag. Lett., vol. 9, pp. 244-247, 2010.
X. Wang, S. Zhang, H. Xue, S. X. Gong, and Z. L. Liu, “A Chebyshev approximation technique based on AIM-PO for wide-band analysis,” IEEE Antennas Wireless Propag. Lett., vol. 15, pp. 93-97,2016.
Z. Wang and S. V. Hum, “A broadband model-based parameter estimation method for analyzing multilayer periodic structures,” IEEE Trans. Antennas Propag., vol. 69, no. 9, pp. 5771-5780, Sep. 2021.
X. Wang, D. H. Werner, and J. P. Turpin, “Application of AIM and MBPE techniques to accelerate modeling of 3-D doubly periodic structures with nonorthogonal lattices composed of bianisotropic media,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4067-4080, Aug. 2014.
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.
X. Wang, S. X. Gong, J. L. Guo, Y. Liu, and P. F. Zhang, “Fast and accurate wide-band analysis of antennas mounted on conducting platform using AIM and asymptotic waveform evaluation technique,” IEEE Trans. Antennas Propag., vol. 59, no. 12, pp. 4624-4633, Dec. 2011.
Y. L. Jiang and J. M. Yang, “Asymptotic waveform evaluation with higher order poles,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 68, no. 4, pp. 1681-1692, Apr. 2021.
M. A. M. Hassan and A. A. Kishk, “A combined asymptotic waveform evaluation and random auxiliary sources method for wide-band solutions of general-purpose EM problems,” IEEE Trans. Antennas Propag., vol. 67, no. 6, pp. 4010-4021, June 2019.