二维圆柱迭代Robin边界条件的计算
宋志强
【期刊名称】《太赫兹科学与电子信息学报》 【年(卷),期】2011(009)003
【摘要】迭代Robin边界条件算法应用于二维电大尺寸目标时,会遇到迭代不收敛的问题,通过加大虚拟边界与散射体边界的距离可以解决该问题,文中通过对入射波的柱面波展开得到了收敛系数关于间距和散射体半径的复杂的系列公式,根据公式所得结果用最小二乘法拟合,得到了散射体边界与虚拟边界间距设置的简洁的经验公式,并给出间距设置的一般原则.%The Iterative Robin Boundary Condition(IRBC) has many advantages: the boundary can be set close to the scatterer: the internal resonance can be eliminated; maintaining the finite element system matrix symmetrical and sparse; the Robin Boundary needn't to be set specially; it can be used in calculating the concave volume scattering. But when the IRBC is used to compute the 2-D electrically large targets, the iteration will not be convergent, and this can be settled hy increasing the distance between the fictitious houndary and the scatter boundary. In this paper, a series of complex formulas of convergence coeff'icient about the distance and the scatterer radiua are ohtained hy dPromposing the incident wave into a series of cylindrical waves. Fitting the data ohtained from the series of' formulas, the succinct empirical formula is derived, which has provided a rule about how to set the distance hetween the fictitious boundary