基于结点基函数的时域有限元方法仿真微波无源器件

Simulate the Microwave Passive Device Via Time Domain Finite Element Method Using Linear Interpolation Functions

在仿真微波无源器件时,有限元法(FEM)对多个频率点需重复计算,且很难精确模拟非线性器件及非线性介质,时域有限差分法(FDTD)需采用规则的网格剖分,不能很好地模拟具有弯曲表面的模型,而时域有限元法则可以解决这些难题,因此TDFEM在微波无源器件仿真中的应用具有重要的研究意义。采用结点基函数可以简化TDFEM的复杂度,并大幅度缩小系数矩阵维数,从而缩短计算所需时间和内存,因此,本文研究了基于结点基函数的TDFEM仿真微波无源器件。数值算例显示了基于结点基函数的TDFEM能够简单、正确、有效地仿真微波无源器件。

When simulate the microwave passive device, finite element method(FEM) need double counting for different frequencies, and it is difficult to simulate nonlinear device and medium, finite difference time domain(FDTD) use regular mesh to divide region and it can not imitate curvature surface perfectly, but time domain finite element method can be able to solve these problems, therefore, the application of TDFEM in simulating the microwave passive device has important significance. This thesis research TDFEM using linear interpolation functions because using linear interpolation functions can simplify the complexity of TDFEM and by decreasing the dimension of coefficient matrix substantially to cut down time and memory that required. The result of numerical example show that TDFEM using linear interpolation functions can simulate the microwave passive device simply, correctly and effectively.