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0.5dB。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。
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. Dully 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 i^-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.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2013年第12期61-65,共5页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目(61072018)
中央高校基本科研业务费专项资金资助项目(K50511020032)
关键词
矩量法
磁场积分方程
奇异性
雷达散射截面
moment method
magnetic field integral equation
singularity
radar cross section
