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

Zongyang Shi, Yiyu Zhao, X. Qu, Lichao Ma
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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.
基于高斯积分的非均匀稀疏分割积分法在分层海洋下电天线电磁正演中的性能分析
为了解决分层海洋下电天线电磁场正演建模难以兼顾计算效率和精度的问题,评价了两种基于高斯积分的非均匀稀疏分割积分计算方法的性能,提高了工程应用中数据解释的效率和精度。首先介绍了基于高斯积分节点(Gauss- legendre积分节点和Gauss- chebyshev积分节点)的两种非均匀稀疏分割计算方法。然后,建立了分层海洋下电天线电磁场时域和频域的两种快速数值积分方法。最后,从计算精度和效率两方面对传统均匀密集分割数值积分计算结果进行比较分析,结果表明,在计算精度相当的情况下,两种非均匀稀疏分割积分方法都能提高计算效率。基于Gauss-Chebyshev积分节点的非均匀稀疏积分计算方法比基于Gauss-Legendre积分节点的计算效率性能更显著。同时,给出了非均匀稀疏分割积分法的一般参数设置。
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