Wideband ShermanMorrisonWoodbury Formula-Based Algorithm for Electromagnetic Scattering Problems

被引:1
作者
Chen, Xinlei [1 ,2 ]
Zhang, Liyang [1 ]
Gu, Changqing [1 ]
Li, Zhuo [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Key Lab Radar Imaging & Microwave Photon, Nanjing 211106, Peoples R China
[2] Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Peoples R China
关键词
Adaptive cross approximation (ACA); electromagnetic scattering; fast direct method; method of moments (MoM); Shermanb-Morrisonb-Woodbury (SMW) formula; CROSS-APPROXIMATION ALGORITHM; MOM MATRICES; FACTORIZATION;
D O I
10.1109/TAP.2023.3263627
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this communication, a wideband Sherman-Woodbury formula-based algorithm (WSMWA) is proposed to efficiently compute the wideband and wide-angle electromagnetic scattering problems. In the proposed algorithm, the standard adaptive cross approximation (ACA) decomposition is only performed at the highest frequency of the frequency band of interest to find the dominant basis functions for each far-block pair. Then, at any frequency within the entire frequency band, the approximate compression of the impedance matrix can be efficiently constructed by using the impedance interpolation method with the dominant basis functions selected at the highest frequency. As a result, the WSMWA avoids performing the standard ACA repeatedly and saves a lot of computational time in comparison with the conventional Sherman-Woodbury formula-based algorithm (SMWA) for wideband and wide-angle applications. Numerical results for electromagnetic scattering are given to demonstrate the efficiency and accuracy of the proposed algorithm.
引用
收藏
页码:5487 / 5492
页数:6
相关论文
共 28 条
  • [1] Bebendorf M, 2000, NUMER MATH, V86, P565, DOI 10.1007/s002110000192
  • [2] RECOMPRESSION TECHNIQUES FOR ADAPTIVE CROSS APPROXIMATION
    Bebendorf, M.
    Kunis, S.
    [J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2009, 21 (03) : 331 - 357
  • [3] AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems
    Bleszynski, E
    Bleszynski, M
    Jaroszewicz, T
    [J]. RADIO SCIENCE, 1996, 31 (05) : 1225 - 1251
  • [4] Chen X., IEICE ELECT EXP, V14, P1
  • [5] Efficient technique for broadband monostatic RCS using the characteristic basis function method with polynomial interpolation
    Chen, Xinlei
    Fei, Chao
    Gu, Changqing
    Mittra, Raj
    [J]. ELECTRONICS LETTERS, 2017, 53 (14) : 956 - 957
  • [6] Accelerated Direct Solution of Electromagnetic Scattering via Characteristic Basis Function Method With Sherman-Morrison-Woodbury Formula-Based Algorithm
    Chen, Xinlei
    Gu, Changqing
    Li, Zhuo
    Niu, Zhenyi
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2016, 64 (10) : 4482 - 4486
  • [7] Multilevel Fast Adaptive Cross-Approximation Algorithm With Characteristic Basis Functions
    Chen, Xinlei
    Gu, Changqing
    Ding, Ji
    Li, Zhuo
    Niu, Zhenyi
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2015, 63 (09) : 3994 - 4002
  • [8] Coifman R., 1993, IEEE Antennas and Propagation Magazine, V35, P7, DOI 10.1109/74.250128
  • [9] Multiscale Compressed and Spliced Sherman-Morrison-Woodbury Algorithm With Characteristic Basis Function Method
    Fang, Xiaoxing
    Cao, Qunsheng
    Zhou, Ye
    Wang, Yi
    [J]. IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 2018, 60 (03) : 716 - 724
  • [10] Gibson W.C., 2007, The Method of Moments in Electromagnetics.