理想导电圆柱电磁场分布二维有限元方法分析

摘要

The finite element method(FEM) is used to study the electromagnetic field distribution of perfect cylinder conductor.A universal FEM code is developed to simulate the EM fields under the different cylinder radius, different discrete size, different absorbing boundary condition radius.The results are compared with the analytical exact solution.The results show that when the discrete size is less than 0.1 wavelength and the outer edge of the cylindrical scatter to the absorbing boundary distance is greater than 0.5 wavelength ,the result is coincides with the exact solution.The conclusion of this paper is useful for the further research of the cylindrical scatter.%电磁问题中的边界条件对场的求解精度和效率都有影响.应用吸收边界条件的有限元方程矩阵具有稀疏性,如果确定好吸收边界条件的位置可以得到高精度的解.本文采用有限元方法对理想导电圆柱电磁场分布特性进行分析,编程计算了在不同圆柱散射体半径、不同离散大小、不同吸收边界条件位置时的场分布,并与解析精确解对比.结果表明:离散尺寸不大于0.1波长、圆柱散射体外边沿到吸收边界的距离大于0.5波长时与精确解基本吻合.对进一步分析圆柱散射问题具有参考意义.