参数曲面屋顶基函数在电磁散射中的应用

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (2): 291-294.

参数曲面屋顶基函数在电磁散射中的应用

李西敏1，童创明1,2，付树洪

（1. 空军工程大学导弹学院，陕西三原 713800； 2. 毫米波国家重点实验室，江苏南京 210096）

出版日期:2010-02-03 发布日期:2010-01-03

Application of parametric curving surface rooftop basis function in 
electromagnetic scattering problems

LI Xi-min1， TONG Chuang-ming1,2， FU Shu-hong1

LI Ximin1， TONG Chuangming1,2， FU Shuhong1

Online:2010-02-03 Published:2010-01-03

摘要/Abstract

摘要：

针对基于屋顶基函数的传统矩量法几何建模复杂、计算量大等缺点，提出一种定义在参数曲面上的屋顶基函数，并将其用于矩量法求解电磁散射问题。参数曲面几何建模能用较少的曲面四边形精确地逼近散射体表面，定义在参数曲面上的屋顶基则大大减小了矩阵规模，简化了计算。计算结果表明，与基于屋顶基（rooftop basis function, RBF）函数的传统矩量法相比，所提方法不仅结果精确可靠，而且极大地减少了未知量，同时也节省了计算机内存。

Abstract:

According to some disadvantages in geometrical modeling and computational work of conventinal method of moment (MoM) based on RWG basis function, a new rooftop basis function defined on parametric curving surface is proposed. By virtue of geometrical modeling based on parametric curving surface, few curving quadrilaterals are used to exactly approximate the surface of scatterers. Rooftop basis function defined on parametric curving surface greatly decreases the matrix dimension. At the same time, the computational work is reduced. Compared the results of this method and literatures, good agreement is found between them. And the new method decreases unknowns and saves computer storage greatly.

李西敏1，童创明1,2，付树洪. 参数曲面屋顶基函数在电磁散射中的应用[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 291-294.

LI Xi-min1， TONG Chuang-ming1,2， FU Shu-hong1. Application of parametric curving surface rooftop basis function in 
electromagnetic scattering problems[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 291-294.