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求解电场积分方程的高阶矩量法

王少刚 关鑫璞 王党卫 马兴义 粟毅

王少刚, 关鑫璞, 王党卫, 马兴义, 粟毅. 求解电场积分方程的高阶矩量法[J]. 电子与信息学报, 2007, 29(9): 2265-2268. doi: 10.3724/SP.J.1146.2006.00628
引用本文: 王少刚, 关鑫璞, 王党卫, 马兴义, 粟毅. 求解电场积分方程的高阶矩量法[J]. 电子与信息学报, 2007, 29(9): 2265-2268. doi: 10.3724/SP.J.1146.2006.00628
Wang Shao-gang, Guan Xin-pu, Wang Dang-wei, Ma Xing-yi, Su Yi. Solution of the Electric Field Integral Equation Using Higher-Order Method of Moments[J]. Journal of Electronics & Information Technology, 2007, 29(9): 2265-2268. doi: 10.3724/SP.J.1146.2006.00628
Citation: Wang Shao-gang, Guan Xin-pu, Wang Dang-wei, Ma Xing-yi, Su Yi. Solution of the Electric Field Integral Equation Using Higher-Order Method of Moments[J]. Journal of Electronics & Information Technology, 2007, 29(9): 2265-2268. doi: 10.3724/SP.J.1146.2006.00628

求解电场积分方程的高阶矩量法

doi: 10.3724/SP.J.1146.2006.00628

Solution of the Electric Field Integral Equation Using Higher-Order Method of Moments

  • 摘要: 高阶矩量法越来越多地用于求解目标散射问题。该文对高阶矩量法中的若干问题进行了分析。由于高阶矩量法需处理多重数值积分,该文提出了一种把多重数值积分转化为矩阵乘积的方法。对于矩量法阻抗矩阵的填充,每次只需计算积分节点上格林函数的值,大大缩短矩阵填充时间,提高了高阶距量法的效能。对奇异(准奇异)积分的不同处理方法做了总结,并对其优劣做了评价。
  • Jrgensen E, Volakis J L, and Meincke P, et al.. Higher order hierarchical legendre basis functions for electromagnetic modeling[J].IEEE Trans. on Antennas Propagat.2004, 52(11):2985-2995[2]Djordjevic M and Notaro B M. Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatters[J].IEEE Trans. on Antennas Propagat.2004, 52(8):2118-2129[3]Graglia R D, Wilton D R, and Peterson A F. Higher order interpolatory vector bases for computational electromagnetics[J].IEEE Trans. on Antennas Propagat.1997, 45(3):329-342[4]Canino L S, Ottusch J J, Stalzer M A, Visher J L, and Wandzura S. Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nystrm discritization[J].J. Comput. Phys.1998, 146:627-663[5]Notaro B M and Popovic B D. Optimized entire-domain moment-method analysis of 3D dielectric scatterers[J].Int. J. Numerical Modelling: Electronic Networks, Devices and Fields.1997, 10(5-6):177-1923.0.CO;2-B' target='_blank'>[6]Duffy M G. Quadrature over a pyramid or cube of integrands with a singularity at a vertex[J].SIAM Journal of Numerical Analysis.1982, 19:1260-1262[7]Seppo J, Matti T, and Pasi Y O. Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles, IEEE Trans[J].on Antennas Propagat.2006, 54(6):42-49[8]Song J M and Chew W C. Moment method solution using parametric geometry[J].J. of Electromagnetic Wave and Appl.1995, 9(1/2):71-83[9]Kolundzija B M. On the inclusion of edge effects into surface vector basis functions. Proceedings of the 1998 AP-S Symposium, 1998: 282-285.
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出版历程
  • 收稿日期:  2006-05-11
  • 修回日期:  2006-09-29
  • 刊出日期:  2007-09-19

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