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针对横截面为双轴对称特征的散射柱,确定以柱各边的中心点共计4个群变换对称点,以此构成4个自然对称基函数.根据二维对称物体的对称特点构造出对称变换群,继而确定出该变换群的正规表示,将正规表示进行约化,根据所约化出的不可约表示,进而确定出以上述4个自然对称基的线性组合的线性独立归一的完备基,计算结果表明,以该基函数级数展开来描述散射体表面电流,具有收敛速度快、计算精度高等特点.
According to the scattering column with biaxial symmetry, four symmetry groups of the center of each column are determined to form four natural symmetric basis functions. According to the symmetry characteristics of the two-dimensional symmetric object, a symmetric transformation Then, the formal representation of the transformation group is determined, and the canonical representation is reduced. Based on the irreducible representation reduced, the linearly independent perfect basis of the linear combination of the four natural symmetric groups is determined The calculation results show that the surface current of the scatterer is described by the expansion of the basis functions, which has the characteristics of fast convergence and high accuracy.