ISSN 0253-2778

CN 34-1054/N

open
Free to Publish. Free to Read.
Open AccessOpen Access JUSTC Original Paper

A fast solution to monostatic RCS based on SVD-CBFM and RACA

  • Key Lab of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230601, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2017.10.006
  • Received Date: 09 January 2017
  • Rev Recd Date: 27 May 2017
  • Publish Date: 31 October 2017
    Abstract

  • Abstract

    An efficient method was proposed to solve monostatic RCS based on singular value decomposition-characteristic basis function method (SVD-CBFM). To reduce the numbers of incident wave excitations, the method considers the coupling effect among the sub-blocks, and calculates the secondary characteristic basis function (SCBF) of each sub-block. The recompressed adaptive cross approximation (RACA) algorithm was applied to recompress the characteristic basis functions (CBFs), which can accelerate the generation of CBFs. In order to further improve the speed of the matrix vector multiplication in the construction process of the SCBF and reduced matrix, the RACA algorithm was also applied to fill the impedance matrix of the far field. The numerical examples demonstrate the accuracy and efficiency of the proposed method.

    Abstract

    An efficient method was proposed to solve monostatic RCS based on singular value decomposition-characteristic basis function method (SVD-CBFM). To reduce the numbers of incident wave excitations, the method considers the coupling effect among the sub-blocks, and calculates the secondary characteristic basis function (SCBF) of each sub-block. The recompressed adaptive cross approximation (RACA) algorithm was applied to recompress the characteristic basis functions (CBFs), which can accelerate the generation of CBFs. In order to further improve the speed of the matrix vector multiplication in the construction process of the SCBF and reduced matrix, the RACA algorithm was also applied to fill the impedance matrix of the far field. The numerical examples demonstrate the accuracy and efficiency of the proposed method.
    • FullText(HTML)
  • loading
    • References(12)
  • [1]
    ENGHETA N, MURPHY W D, ROKHLIN V, et al. The fast multipole method (FMM) for electromagnetic scattering problems[J]. IEEE Transactions on Antennas and Propagation, 1992, 40(6): 634-641.
    [2]
    WENG C C, CUI T J, SONG J M. A FAFFA-MLFMA algorithm for electromagnetic scattering[J]. IEEE Transactions on Antennas and Propagation, 2002, 50(11): 1641-1649.
    [3]
    BLESZYNSKI E, BLESZYNSKI M, JAROSZEWICZ T. Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems[J]. Radio Science. 1996, 31(5): 1225-1251.
    [4]
    BEBENDORF M. Approximation of boundary element matrices[J]. Numerische Mathematik, 2000, 86(4): 565-589.
    [5]
    ZHAO K Z, VOUVAKIS M N, LEE J F. The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems[J]. IEEE Transactions on Electromagnetic Compatibility, 2005, 47(4): 763-773.
    [6]
    PRAKASH V V S, MITTRA R. Characteristic basis function method: a new technique for efficient solution of method of moments matrix equations[J]. Microwave and Optical Technology Letters, 2003, 36(2): 95-100.
    [7]
    MITTRA R, BIANCONI G, PELLETTI C, et al. A computationally efficient technique for prototyping planar antennas and printed circuits for wireless applications[J]. Proceedings of the IEEE, 2012, 100(7): 2122-2131.
    [8]
    SUN Y F, CHAN C H, MITTRA R, et al. Characteristic basis function method for solving large problems arising in dense medium scattering[C]// IEEE Antennas and Propagation Society International Symposium. Columbus, USA: IEEE, 2003, 2: 1068-1071.
    [9]
    LUCENTE E, MONORCHIO A, MITTRA R. An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(4): 999-1007.
    [10]
    王仲根, 孙玉发, 王国华. 应用改进的特征基函数法和自适应交叉近似算法快速分析导体目标电磁散射特性[J]. 物理学报, 2013, 62(20): 196-202.
    WANG Zhonggen, SUN Yufa, WANG Guohua. A fast solution of electromagnetic scattering with improved characteristic basis function method and ACA[J]. Acta Physica Sinica, 2013, 62(20): 196-202.
    [11]
    张爱奎, 孙玉发, 王仲根, 等. 应用RACA算法快速求解导体目标RCS[J]. 中国科技论文, 2015, 10(14): 1656-1659.
    ZHANG Aikui, SUN Yufa, WANG Zhonggen, et al. Fast calculation of the RCS of conducting targets by using RACA algorithm[J]. China Science Paper, 2015, 10(14): 1656-1659.
    [12]
    SEO S M, LEE J F. A single-level low rank IE-QR algorithm for PEC scattering problems using EFIE formulation[J]. IEEE Transactions on Antennas and Propagation, 2004, 52(8): 2141-2146.
    • Supplements(0)
    • Related Articles
    • Track Citations
  • 加载中

Catalog

    |
    Get Citation
    PDF
    XML
    [1]
    ENGHETA N, MURPHY W D, ROKHLIN V, et al. The fast multipole method (FMM) for electromagnetic scattering problems[J]. IEEE Transactions on Antennas and Propagation, 1992, 40(6): 634-641.
    [2]
    WENG C C, CUI T J, SONG J M. A FAFFA-MLFMA algorithm for electromagnetic scattering[J]. IEEE Transactions on Antennas and Propagation, 2002, 50(11): 1641-1649.
    [3]
    BLESZYNSKI E, BLESZYNSKI M, JAROSZEWICZ T. Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems[J]. Radio Science. 1996, 31(5): 1225-1251.
    [4]
    BEBENDORF M. Approximation of boundary element matrices[J]. Numerische Mathematik, 2000, 86(4): 565-589.
    [5]
    ZHAO K Z, VOUVAKIS M N, LEE J F. The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems[J]. IEEE Transactions on Electromagnetic Compatibility, 2005, 47(4): 763-773.
    [6]
    PRAKASH V V S, MITTRA R. Characteristic basis function method: a new technique for efficient solution of method of moments matrix equations[J]. Microwave and Optical Technology Letters, 2003, 36(2): 95-100.
    [7]
    MITTRA R, BIANCONI G, PELLETTI C, et al. A computationally efficient technique for prototyping planar antennas and printed circuits for wireless applications[J]. Proceedings of the IEEE, 2012, 100(7): 2122-2131.
    [8]
    SUN Y F, CHAN C H, MITTRA R, et al. Characteristic basis function method for solving large problems arising in dense medium scattering[C]// IEEE Antennas and Propagation Society International Symposium. Columbus, USA: IEEE, 2003, 2: 1068-1071.
    [9]
    LUCENTE E, MONORCHIO A, MITTRA R. An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(4): 999-1007.
    [10]
    王仲根, 孙玉发, 王国华. 应用改进的特征基函数法和自适应交叉近似算法快速分析导体目标电磁散射特性[J]. 物理学报, 2013, 62(20): 196-202.
    WANG Zhonggen, SUN Yufa, WANG Guohua. A fast solution of electromagnetic scattering with improved characteristic basis function method and ACA[J]. Acta Physica Sinica, 2013, 62(20): 196-202.
    [11]
    张爱奎, 孙玉发, 王仲根, 等. 应用RACA算法快速求解导体目标RCS[J]. 中国科技论文, 2015, 10(14): 1656-1659.
    ZHANG Aikui, SUN Yufa, WANG Zhonggen, et al. Fast calculation of the RCS of conducting targets by using RACA algorithm[J]. China Science Paper, 2015, 10(14): 1656-1659.
    [12]
    SEO S M, LEE J F. A single-level low rank IE-QR algorithm for PEC scattering problems using EFIE formulation[J]. IEEE Transactions on Antennas and Propagation, 2004, 52(8): 2141-2146.
    Recommended articles
    TrendMD
    Volume 47 Issue 10 page: 843-847
    Cover

    Article Metrics

    Article views (414) PDF downloads(147)
    Proportional views

    Copyright © Editorial Office of JUSTC, All Rights Reserved. 皖ICP备05002528号

    Supported by: Beijing Renhe Information Technology Co. Ltd    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return