【摘要】 本文用二次元求解了非均匀介质填充波导的边值问题.给出了高次元的耦合矩阵和有关公式,并将它们表示成便于编制计算机程序的形式.为了确定各次有限元的计算精度,用二次元对可以得到精确解的条形介质加载矩形波导的本征值进行了计算.结果表明:二次元的精度比一次元高出1～3个数量级.文中,在数值分析的基础上,对一次元和二次元的解题效能进行了讨论.更多还原

【Abstract】 We apply here the second-order finite element method to the boundary-value problem of waveguides filled with inhomogeneous dielectrics. The coupling matrix of high-order element and other related formulas are developed and cast in a form that is convenient for computer programming. To determine the accuracy obtainable from the finite-element method of various order, the eigenvalues of a slab-loaded rectangular waveguide, which is amendable to an exact analysis, are computed by the first-and second-order method. It is shown that the accuracy of the second-order method is 10-103 higher than that of the first-order method. The relative efficiency of the first-and second-order method is also discussed on the basis of numerical analysis by a computer.更多还原