基于高阶叠层矢量基函数的E-H时域有限元方法分析谐振腔和波导结构

E-H Time-Domain Finite-Element Method with Hierarchical Vector Basis Functions for Analysis of Cavity and Waveguide Structures

将高阶叠层矢量基函数用于E-H时域有限元方法,电场和磁场用相同的基函数展开并同时求解,时间离散采用Crank-Nicolson差分格式使得时间步长的选取摆脱稳定性条件的限制,同时采用完美匹配层来截断计算区域.对三维谐振腔及波导结构进行数值模拟与分析,结果表明,相较于低阶基函数,高阶叠层矢量基函数可以有效提高E-H时域有限元方法的计算精度.

We present E-H time-domain finite-element method using hierarchical high-order vector basis functions. Electric fields and magnetic fields are computed together and Crank-Nicolson difference scheme is implemented to obtain an unconditionally stable algorithm. Meanwhile,perfectly matched layers are used for truncation of unbounded regions. Three-dimensional cavity and waveguide structures are simulated. It shows that accuracy is improved by E-H TDFEM method with higher-order basis functions.