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電場(chǎng)積分方程矩量法中具有局部連續(xù)性的基函數(shù)積分奇異性降階處理

華夷和,  徐金平

華夷和, 徐金平. 電場(chǎng)積分方程矩量法中具有局部連續(xù)性的基函數(shù)積分奇異性降階處理[J]. 電子與信息學(xué)報(bào), 2003, 25(10): 1436-1440.
引用本文: 華夷和, 徐金平. 電場(chǎng)積分方程矩量法中具有局部連續(xù)性的基函數(shù)積分奇異性降階處理[J]. 電子與信息學(xué)報(bào), 2003, 25(10): 1436-1440.
Hua Yihe, Xu Jinping. Integral singularity reduction by the localy continuous basis functions used in moment method with electric fidld integral equation[J]. Journal of Electronics & Information Technology, 2003, 25(10): 1436-1440.
Citation: Hua Yihe, Xu Jinping. Integral singularity reduction by the localy continuous basis functions used in moment method with electric fidld integral equation[J]. Journal of Electronics & Information Technology, 2003, 25(10): 1436-1440.

電場(chǎng)積分方程矩量法中具有局部連續(xù)性的基函數(shù)積分奇異性降階處理

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

  • 摘要: 三維散射與輻射問(wèn)題?；陔妶?chǎng)積分方程(EFIE)，運(yùn)用矩量法求解。該文證明了只要所選擇的屋頂基函數(shù)(rooftop basis functions)具有局部連續(xù)性，無(wú)論對(duì)于平面或者曲面單元，都能將求解阻抗矩陣元素的積分函數(shù)寫(xiě)成一種對(duì)稱形式，使得其奇異性降為 O(1/R)，從而避免了現(xiàn)有文獻(xiàn)中因處理源點(diǎn)和觀察點(diǎn)重合時(shí)出現(xiàn)的O(1/R2)奇異性所導(dǎo)致的積分復(fù)雜性，數(shù)值計(jì)算結(jié)果表明了簡(jiǎn)化后計(jì)算公式的有效性和可靠性。
    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]王浩剛,聶在平,三維矢量積分方程中奇異性的分析,電子學(xué)報(bào),1999,27(12),68-71.[8]姚海英,聶在平,三維矢量散射分析中奇異積分的準(zhǔn)確計(jì)算方法,電子科學(xué)學(xué)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]戴振鐸,魯述,電磁理論中的并矢格林函數(shù),武漢,武漢大學(xué)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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出版歷程
  • 收稿日期:  2002-05-13
  • 修回日期:  2002-10-24
  • 刊出日期:  2003-10-19

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