Higher Order Moment Method for Magnetic Field Integral Equations with High Accuracy

doi:10.7652/xjtuxb201312011

您当前的位置：

首页 >

文章列表页 >

Higher Order Moment Method for Magnetic Field Integral Equations with High Accuracy

更新时间：2025-07-09

- Higher Order Moment Method for Magnetic Field Integral Equations with High Accuracy
- Vol. 47, Issue 12, Pages: 61-65(2013)
- 作者机构：
  
  西安电子科技大学天线与微波技术重点实验室,西安,710071
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201312011
  CLC： TN011
- Online First：10 December 2013，
  
  Published：2013
- 稿件说明：
移动端阅览
Higher Order Moment Method for Magnetic Field Integral Equations with High Accuracy[J]. 2013, 47(12): 61-65.
DOI：

Higher Order Moment Method for Magnetic Field Integral Equations with High Accuracy[J]. 2013, 47(12): 61-65. DOI： 10.7652/xjtuxb201312011.

摘要

针对矩量法求解磁场积分方程时精度较差的问题

采用非均匀有理B样条(NURBS)建模的高阶矩量法求解磁场积分方程

采用Duffy变换消除自阻抗元素中的奇异性。对于相邻面片间互阻抗的近奇异性积分

首先采用一种简单的双曲函数变换消除内层面积分中R

-2

形式的近奇异性

然后采用Duffy变换消除外层面积分中的对数奇异性

并通过准确地计算阻抗矩阵元素得到了一种高精度的矩量法。对两个闭合导体模型进行双站雷达散射截面(RCS)仿真计算

并分别与解析结果和电场积分方程的结果进行比较

研究结果表明该方法的误差不到0.5 dB。这种高精度的磁场积分方程方法可以取代常用的混合场积分方程方法

并为下一步构造迭代收敛速度更快的新方法打下了良好的基础。

Abstract

The magnetic field integral equations(MFIE)solved by moment methods(MOM)show low accuracy. A higher order moment method for solving the MFIE is introduced. Duffy transformation is chosen to cancel the singularities in the self-term impedances. As to the near singularities in the impedances of two neighboring patches

a hyperbolic function is adopted to cancel the R

-2

near singularities in the inner surface integrals

and then another Duffy transformation is employed to cancel the logarithmic singularities in the outer surface integrals

thus a high accurate moment method is achieved. For two closed conducting models

the bistatic radar cross section(RCS)simulation by the proposed method is with error less than 0.5 dB. This method for MFIE can replace the commonly used one for

combined field integral equations(CFIE)

and may lay a foundation to construct new methods with higher convergence rate.

关键词

Keywords

references

RAO S M, WILTON D R, GLISSON A W. Electromagnetic scattering by surfaces of arbitrary shape [J]. IEEE Transactions on Antennas and Propagation, 1982, 30(5): 409-418.

DJORDJEVIC M, NOTAROS B M. Double higher order method of moments for surface integral equation modeling of metallic and dielectric antennas and scatterers [J]. IEEE Transactions on Antennas and Propagation, 2004, 52(8): 2118-2129.

YLA-OIJALA P, TASKINEN M. Calculation of CFIE impedance matrix elements with RWG and n×RWG functions [J]. IEEE Transactions on Antennas and Propagation, 2003, 51(8): 1837-1846.

YAN Su, JIN Jianming, NIE Zaiping. Improving the accuracy of the second-kind Fredholm integral equations by using the Buffa-Christiansen functions [J]. IEEE Transactions on Antennas and Propagation, 2011, 59(4): 1299-1310.

HODGES R E, RAHMAT-SAMII Y. The evaluation of MFIE integrals with the use of vector triangle basis functions [J]. Microwave and Optical Technology Letters, 1997, 14(1): 9-14.

WILTON D R, RAO S M, GLISSON A W, et al. Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains [J]. IEEE Transactions on Antennas and Propagation, 1984, 32(3): 276-281.

ERGUL O, GUREL L. Solid-angle factor in the magnetic-field integral equation [J]. Microwave and Optical Technology Letters, 2005, 45(5): 452-456.

ERGUL O, GUREL L. Investigation of the inaccuracy of the MFIE discretized with the RWG basis functions [C]∥Antennas and Propagation Society International Symposium. Monterey, CA, USA: IEEE, 2004: 3393-3396.

GUREL L, ERGUL O. Singularity of the magnetic-field integral equation and its extraction [J]. IEEE Antennas and Wireless Propagation Letters, 2005, 4: 229-232.

YUAN Haobo, WANG Nan, LIANG Changhong. Combining the higher order method of moments with geometric modeling by NURBS surfaces [J]. IEEE Transactions on Antennas and Propagation, 2009, 57(11): 3558-3563.

LI Jianbing, WANG Xuesong, QU Longhai. Calculation of physical optics integrals over NURBS surface using a delaminating quadrature method [J]. IEEE Transactions on Antennas and Propagation, 2012, 60(5): 2388-2397.

WANG Nan, YUAN Haobo, DANG Xiaojie, et al. Edge diffraction in NURBS-UTD method [J]. IEEE Transactions on Antennas and Propagation, 2012, 60(5): 2590-2593.

SAAD Y. Iterative methods for sparse linear systems [M]. Boston, USA: PWS Publishing, 1996: 236-237.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Numerical Treatment of Singularity Cells Around the Polar Axis for Finite Volume Method

Influence of Structural Parameters on the Summer Operational Characteristics of a Three-Tower-in-One Indirect Air-Cooling System

Review of the Application of EBSILON Software in Combined Heat and Power System Optimization

Energy Efficiency Optimization of the Cryogenic Air Separation Process for Electronic-Grade Ultra Pure Nitrogen

Windage Loss and Flow Characteristics in Impeller Back Gaps of sCO2 Radial Inflow Turbines

Related Author

鲁录义

危卫

罗昔联

顾兆林

Related Institution

School of Energy and Power Engineering, Xi'an Jiaotong University

⁰