矩量法与C_（3V）群基函数求解二维电磁散射的应用

根据散射体的几何对称特性,将群的对称理论和基函数的选取与矩量法相结合,可以有效减少计算存储量和计算时间。对于横截面为正三角的散射柱体,取正三角形各顶点和各边中点为对称点,构造6个自然对称基函数。将正规表示基函数约化为不可约表示,进而确定出上述6个自然对称基的线性组合的独立完备基。结果表明,以该基函数级数展开计算具有收敛速度快,计算精度高等特点。

MoM and C3V basis functions applied to solving 2D electromagnetic scattering

Based on the geometry symmetry feature of a scattering boundary,by combining the symmetry of group theory and selection of basis function with method of moments(MoM),the computer memory capacity and computing time can be effectively saved.According to the symmetric feature of scattering boundary whose cross section is triangle,six natural symmetry base functions were established by taking the vertex and midpoint of each side as symmetric point.The regular representation basis function was transformed into irreducible one.The independent perfect basis of linear combination from the above mentioned six natural symmetry bases was confirmed.Numerical results show the method has good quality both in saving calculating time and improving accuracy.