摘要
从积分形式的Maxwell方程出发 ,利用连续函数的Taylor级数展开 ,严格地给出了包含介质交界面的二阶精度时域有限差分 (FDTD)公式 ,解决了以往FDTD法处理非均匀介质填充区域问题时只有一阶精度的问题。分析表明 ,为了获得二阶精度 ,除了需要引入适当等效介电常数外 ,还必须采用适当非均匀网格。该方法被用于轴对称圆柱介质谐振器的分析。计算结果与理论值吻合良好 。
The rigorous second-order accurate FDTD equations at dielectric interfaces are derived through the discretization of the integral forms of Maxwell′s curl equations on the non-uniform Yee′s lattice and Taylor serious expending of continuous field components over finite volumes including the interfaces. It is shown that in order to obtain second-order accuracy, not only proper effective permittivities are required in the grids containing the dielectric interfaces, but available non-uniform Yee′s grids are also needed in the vicinity of the interface. The equqtions are applied to analyze cylindrical dielectric resonator. Numerical results obtained are in good agreement with the rigorous theoretical values and are more accurate than the results of the traditional FDTD method based on the uniform grids.
出处
《电波科学学报》
EI
CSCD
2003年第6期652-654,667,共4页
Chinese Journal of Radio Science
基金
国家自然科学基金资助项目 (No.6 0 1710 11)
