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Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean

Received: 18 February 2021    Accepted:     Published: 26 April 2021
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Abstract

In order to solve the problem that it is difficult to take into account the computational efficiency and accuracy of electromagnetic field froward modeling of electrical antenna under the stratified ocean, evaluate the performance of two non-uniform sparse segmentation integral calculation methods based on Gauss integrals and improve the efficiency and accuracy of data interpretation in engineering applications, firstly two non-uniform sparse segmentation calculation methods based on Gauss integral nodes (Gauss-Legendre integral nodes and Gauss-Chebyshev integral nodes) are introduced. Then, two fast numerical integration methods corresponding of the time and frequency domain of the electrical antenna electromagnetic field under stratified ocean is established. Finally, by comparing and analyzing the results of the traditional uniform dense segmentation numerical integral calculation from the two aspects of computational accuracy and efficiency, the results show that two non-uniform sparse segmentation integral methods can improve the computational efficiency under the condition that the calculation accuracy is comparable, and the non-uniform sparse integral calculation method based on the Gauss-Chebyshev integral nodes is more significant than the calculation efficiency performance of the method based on the Gauss-Legendre integral node. At the same time, the general parameter setting of the non-uniform sparse segmentation integral method is given in this paper.

Published in Science Discovery (Volume 9, Issue 2)
DOI 10.11648/j.sd.20210902.16
Page(s) 47-57
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Electric Antenna Under Water, Electromagnetic Forward of Electric Antenna, Non-uniform Sparse Segmentation Integration Method, Gauss-Legendre, Gauss-Chebyshev

References
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Cite This Article
  • APA Style

    Zongyang Shi, Yiyu Zhao, Xiaodong Qu, Lichao Ma. (2021). Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean. Science Discovery, 9(2), 47-57. https://doi.org/10.11648/j.sd.20210902.16

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    ACS Style

    Zongyang Shi; Yiyu Zhao; Xiaodong Qu; Lichao Ma. Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean. Sci. Discov. 2021, 9(2), 47-57. doi: 10.11648/j.sd.20210902.16

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    AMA Style

    Zongyang Shi, Yiyu Zhao, Xiaodong Qu, Lichao Ma. Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean. Sci Discov. 2021;9(2):47-57. doi: 10.11648/j.sd.20210902.16

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  • @article{10.11648/j.sd.20210902.16,
      author = {Zongyang Shi and Yiyu Zhao and Xiaodong Qu and Lichao Ma},
      title = {Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean},
      journal = {Science Discovery},
      volume = {9},
      number = {2},
      pages = {47-57},
      doi = {10.11648/j.sd.20210902.16},
      url = {https://doi.org/10.11648/j.sd.20210902.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20210902.16},
      abstract = {In order to solve the problem that it is difficult to take into account the computational efficiency and accuracy of electromagnetic field froward modeling of electrical antenna under the stratified ocean, evaluate the performance of two non-uniform sparse segmentation integral calculation methods based on Gauss integrals and improve the efficiency and accuracy of data interpretation in engineering applications, firstly two non-uniform sparse segmentation calculation methods based on Gauss integral nodes (Gauss-Legendre integral nodes and Gauss-Chebyshev integral nodes) are introduced. Then, two fast numerical integration methods corresponding of the time and frequency domain of the electrical antenna electromagnetic field under stratified ocean is established. Finally, by comparing and analyzing the results of the traditional uniform dense segmentation numerical integral calculation from the two aspects of computational accuracy and efficiency, the results show that two non-uniform sparse segmentation integral methods can improve the computational efficiency under the condition that the calculation accuracy is comparable, and the non-uniform sparse integral calculation method based on the Gauss-Chebyshev integral nodes is more significant than the calculation efficiency performance of the method based on the Gauss-Legendre integral node. At the same time, the general parameter setting of the non-uniform sparse segmentation integral method is given in this paper.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Performance Analysis of Non-uniform Sparse Segmentation Integral Method Based on Gauss Integral in EM Forward of Electrical Antenna Under Stratified Ocean
    AU  - Zongyang Shi
    AU  - Yiyu Zhao
    AU  - Xiaodong Qu
    AU  - Lichao Ma
    Y1  - 2021/04/26
    PY  - 2021
    N1  - https://doi.org/10.11648/j.sd.20210902.16
    DO  - 10.11648/j.sd.20210902.16
    T2  - Science Discovery
    JF  - Science Discovery
    JO  - Science Discovery
    SP  - 47
    EP  - 57
    PB  - Science Publishing Group
    SN  - 2331-0650
    UR  - https://doi.org/10.11648/j.sd.20210902.16
    AB  - In order to solve the problem that it is difficult to take into account the computational efficiency and accuracy of electromagnetic field froward modeling of electrical antenna under the stratified ocean, evaluate the performance of two non-uniform sparse segmentation integral calculation methods based on Gauss integrals and improve the efficiency and accuracy of data interpretation in engineering applications, firstly two non-uniform sparse segmentation calculation methods based on Gauss integral nodes (Gauss-Legendre integral nodes and Gauss-Chebyshev integral nodes) are introduced. Then, two fast numerical integration methods corresponding of the time and frequency domain of the electrical antenna electromagnetic field under stratified ocean is established. Finally, by comparing and analyzing the results of the traditional uniform dense segmentation numerical integral calculation from the two aspects of computational accuracy and efficiency, the results show that two non-uniform sparse segmentation integral methods can improve the computational efficiency under the condition that the calculation accuracy is comparable, and the non-uniform sparse integral calculation method based on the Gauss-Chebyshev integral nodes is more significant than the calculation efficiency performance of the method based on the Gauss-Legendre integral node. At the same time, the general parameter setting of the non-uniform sparse segmentation integral method is given in this paper.
    VL  - 9
    IS  - 2
    ER  - 

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Author Information
  • Beijing Institute of Mechanical Equipment, Beijing, China

  • Beijing Institute of Mechanical Equipment, Beijing, China

  • Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing, China

  • Beijing Institute of Mechanical Equipment, Beijing, China

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