高阶基函数在二维散射问题中的应用

以3阶为例讨论高阶基函数矩量法,将3阶基函数应用到二维理想导体散射问题的6个积分方程中,分析了计算误差。在电大导体散射问题中,讨论了该方法的计算误差与未知量个数之间的关系,并与传统的脉冲基和三角基方法进行了比较。数值计算结果表明,高阶基函数矩量法具有更高的精度和收敛速度,在精度相同的情况下,比传统的低阶方法具有更高的效率。

Application of high-order basis functions to the scattering analysis of two-dimensional objects

High-order basis functions for the method of moments(MOM) are discussed with the third-order as an example.The third-order basis function is applied to six integral equations of two-dimensional perfect electric conductor(PEC) scattering problems,and the numerical error of the radar cross section(RCS) is analyzed.In electrically large conductor scattering problems, the third-order method is compared with the traditional pulse basis and triangle basis methods in the relation between the error of the RCS and the amount of unknowns.Numerical calculation results show that the high-order basis function for MOM has higher precision and faster convergence rate,and that it is more efficient than the traditional low-order methods as the precision is same.