电场积分方程矩量法中具有局部连续性的基函数积分奇异性降阶处理

华夷和; 徐金平

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电场积分方程矩量法中具有局部连续性的基函数积分奇异性降阶处理

华夷和^{①;徐金平},
徐金平

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- 文章访问数: 2502
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- 被引次数: 0
出版历程
- 收稿日期: 2002-05-13
- 修回日期: 2002-10-24
- 刊出日期: 2003-10-19

Integral singularity reduction by the localy continuous basis functions used in moment method with electric fidld integral equation

Hua Yihe^{①;徐金平},
Xu Jinping

摘要

摘要: 三维散射与辐射问题常基于电场积分方程(EFIE)，运用矩量法求解。该文证明了只要所选择的屋顶基函数(rooftop basis functions)具有局部连续性，无论对于平面或者曲面单元，都能将求解阻抗矩阵元素的积分函数写成一种对称形式，使得其奇异性降为 O(1/R)，从而避免了现有文献中因处理源点和观察点重合时出现的O(1/R2)奇异性所导致的积分复杂性，数值计算结果表明了简化后计算公式的有效性和可靠性。
- 屋顶基函数; 局部连续性; 矩量法; 电场积分方程
Abstract: A new symmetrical formulation without O(1/R2) singularity is presented to cal-culate the impedance matrix elements as long as the rooftop basis functions have the character of local continuity. With this new formulation, one needs only take care about the O(1/R) singularity that is very easy to resolve. Several different types of rooftop basis functions are analyzed and compared, on which our formulation is applied. Numerical results are presented which have proved the validity, the efnciency and the universality of the new formulation.

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J.H.R.ichmond, A wire-grid model for scattering by conducting bodies, IEEE Trans. Ant.Prop., 1966, AP-14(6), 782-786.[2]S.M. Rao, D. R. Wilton, A. W. Glisson, Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans. on Ant. Prop., 1982, AP-30(3), 409-418.[3]E.H. Newman, P. Tulyatha, A surface patch model for polygonal plates, IEEE Trans. on Ant. Prop., 1982, AP-30(4), 588-593.[4]D.L. Wilkes, C. C. Cha, Method of moments solution with parametric curved triangular patches,1991 International IEEE APS Symposium Digest, London, Ontario, Canada, 1991, 1512-1515.[5]J.M. Song, W. C. Chew, Moment method solutions using parametric geometry, Journal of Electromagnetic Waves and Appl., 1995, 9(1/2), 71-83.[6]B.M. Kolundzija, On the locally continuous formulation of surface doublets, IEEE Trans. Ant. Prop., 1998, AP-46(12), 1879-1883.[7]王浩刚,聂在平,三维矢量积分方程中奇异性的分析,电子学报,1999,27(12),68-71.[8]姚海英,聂在平,三维矢量散射分析中奇异积分的准确计算方法,电子科学学刊,2000,22(3),471-477.[9]R. Coifman, V. Rokhlin, S. Greengard, The fast multipole method for the wave equation.[J].A pedestrian prescription, IEEE Ant. Prop. Magazine.1993,35(3):7-12[10]C.C. Lu, W. C. Chew, A multilevel algorithm for solving boundary-value scallering, Microwave Opt. Tech. Lett., 1994, 7(10), 466-470.[11]戴振铎,鲁述,电磁理论中的并矢格林函数,武汉,武汉大学出版社,1995,324.[12]A. Balanis.[J].Advanced Engineering Electromagnetics, New York, Wiley Sons.1989,:-[13]J. L. Volakis, Benchmark radar targets for the validation of computational electromagnetics programs, IEEE Ant. Prop. Magazine, 1993, 35(1), 84-89.

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文章访问数: 2502
HTML全文浏览量: 124
PDF下载量: 525
被引次数: 0

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电场积分方程矩量法中具有局部连续性的基函数积分奇异性降阶处理

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出版历程

Integral singularity reduction by the localy continuous basis functions used in moment method with electric fidld integral equation

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出版历程

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