Reduction of singular surface integrals of tensor Green function to non-singular line integrals in integral equations for planar geometries

机译：将张量Green函数的奇异表面积分简化为平面几何积分方程中的非奇异线积分

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A novel procedure Is presented for the evaluation of matrix elements of the tensor Green function with Rao-Wilton-Glisson basis functions appearing in surface integral equations in electromagnetics. The procedure, at this point applicable to planar geometries, reduces four-dimensional surface integrals with singular integrands to line integrals over triangle edges with regular integrands. The main advantage of the derived expressions is that they offer simplicity and easily controllable accuracy without the need of using numerical singularity extraction methods.

机译：提出了一种新的程序，用于评估张量Green函数的矩阵元素，其中Rao-Wilton-Glisson基函数出现在电磁学的表面积分方程中。该过程此时适用于平面几何形状，可将具有奇数个被积数的四维表面积分缩小为带有规则被积数的三角形边缘上的积分线。派生表达式的主要优点在于它们提供了简单且易于控制的准确性，而无需使用数值奇异性提取方法。

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来源
《2016 IEEE/ACES International Conference on Wireless Information Technology and Systems and Applied Computational Electromagnetics》|2016年|1-2|共2页
会议地点 Honolulu HI(US)
作者
Elizabeth Bleszynski; Marek Bleszynski; Thomas Jaroszewicz;
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作者单位

Monopole Research, Thousand Oaks, CA 91360, U.S.;

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原文格式 PDF
正文语种 eng
中图分类
关键词
integral equations; method of moments; numerical methods;

机译：积分方程；矩量法；数值方法;

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专利

1. Reduction of Singular Surface Integrals to Nonsingular Line Integrals in Integral Equations for Planar Geometries [J] . Elizabeth H. Bleszynski, Marek K. Bleszynski, Thomas Jaroszewicz Antennas and Propagation, IEEE Transactions on . 2016,第11期

机译：将平面几何积分方程中的奇异表面积分还原为非奇异线积分
2. Reduction of Volume Integrals to Nonsingular Surface Integrals for Matrix Elements of Tensor and Vector Green Functions of Maxwell Equations [J] . Bleszynski, E.H., Bleszynski, IEEE Transactions on Antennas and Propagation . 2013,第7期

机译：将张量矩阵元素和麦克斯韦方程的矢量格林函数的体积积分还原为非奇异表面积分
3. Hybrid Integration Scheme for the Evaluation of Strongly Singular and Near-Singular Integrals in Surface Integral Equations [J] . Rivero Javier, Vipiana Francesca, Wilton Donald R., IEEE Transactions on Antennas and Propagation . 2019,第10期

机译：混合积分方案，用于评估表面积分方程中的强奇异和近奇异积分
4. Reduction of singular surface integrals of tensor Green function to non-singular line integrals in integral equations for planar geometries [C] . Elizabeth Bleszynski, Marek Bleszynski, Thomas Jaroszewicz European Conference on Antennas and Propagation . 2016

机译：将张量Green函数的奇异表面积分简化为平面几何积分方程中的非奇异线积分
5. Singularity treatment and high-order RWG basis functions for integral equations of electromagnetic scattering. [D] . Yu, Yijun. 2001

机译：电磁散射积分方程的奇异性处理和高阶RWG基函数。
6. Some classes of singular integral equations of convolution type in the class of exponentially increasing functions [O] . Pingrun Li -1

机译：一类指数增长函数中的几类卷积奇异积分方程
7. Non-singular field-only surface integral equations for electromagnetic scattering [O] . Klaseboer, Evert, Sun, Qiang, Chan, Derek Y. C. 2016

机译：电磁场的非奇异场仅表面积分方程散射
8. Numerical Quadrature Methods for Integrals of Singular Periodic Functions and Their Application to Singular and Weakly Singular Integral Equations [R] . Sidi, A., Israeli, M. 1986

机译：奇异周期函数积分的数值求积方法及其在奇异和弱奇异积分方程中的应用

Reduction of singular surface integrals of tensor Green function to non-singular line integrals in integral equations for planar geometries

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