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 by increasing the distance between the fictitious boundary and the scatter boundary.In this paper,a series of complex formulas of convergence coefficient about the distance and the scatterer radius are obtained by decomposing the incident wave into a series of cylindrical waves.Fitting the data obtained from the series of formulas,the succinct empirical formula is derived,which has provided a rule about how to set the distance between the fictitious boundary and the scatter boundary.
出处
《信息与电子工程》
2011年第3期373-378,共6页
information and electronic engineering
基金
霍英东教育基金会高等院校青年教师基金资助项目(104025)
关键词
迭代Robin边界条件
有限元
电大尺寸
Hankel函数
Iterative Robin Boundary Condition
Finite Element Method（FEM）
electrically large targets
Hankel function
