【摘要】 本文用高次有限元法求解了任意横截面形状波导的本征值问题;提出了一种便于编制计算机程序的区域剖分方法。为了比较高次元和线性元的解题效能,以此两方法计算了三种不同形状波导主模和高次模的本征值。结果显示:二次元方法的精度比线性元可提高一至三个数量级。由于高次元对计算高次模特别有效,本法尤其适用于对多模元件的分析和设计。更多还原

【Abstract】 We employ here the high-order finite-element method to determine the eigenvalues of waveguides of arbitrary cross-section. A regional division technique is introduced to facilitate the computer programming. As an illustration of the powerfulness and efficiency of the high-order finite element method, the eigenvalues of the dominant and higher-order modes for three different waveguide geometries are computed by the linear and second-order element method. The results show that the accuracy can be improved by a factor of 10-103 over those of the linear element method. Since the high-order finite element method is particularly powerful for the higher-order modes, it is especially suitable for the analysis and design of multimode devices.更多还原