摘要
用精细积分法对含各向异性介质的波导不连续性问题进行了数值模拟与分析.从矢量波动方程相对应的单变量变分形式出发,推导出了含有各向异性介质波导横截面离散系数矩阵的表达式,引入对偶变量,在Hamilton体系下,利用精细积分法求出出口刚度矩阵,进行有限元拼装,求解了含各向异性介质的波导不连续性问题.算例表明了该方法的准确性和高效性.利用本文方法还讨论了介电系数和导磁系数张量的各个分量对波导传输特性的影响.
Waveguide discontinuities with anisotropic dielectric are simulated and analyzed by the precise integration method. The discrete coefficient matrices for the cross-section of the waveguide, which contains anisotropic dielectric, are deduced from the variational principle based on single variable corresponding to the vector wave equation. Introducing the dual-variables, the stiff matrices are calculated by using precise integration method in a Hamiltonion system. Then the problem is solved by assembling the finite elements. Numerical results show accuracy and good efficiency of the method. The influence of the components of permittivity and permeability on the waveguide transmission characteristic is also discussed.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2013年第13期213-219,共7页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11172008
10972013)资助的课题~~
