Numerical analysis of the discontinuities in slab dielectric waveguides
Numerical analysis of the discontinuities in slab dielectric waveguides
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平板介质波导不连续性的数值分析
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
A. Inoue
中科院分区：
文献类型：
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作者：
T. Hosono;T. Hinata;A. Inoue
我们提出了一种分析平板介质波导中不连续性的近似方法，该方法具有普遍适用性。该方法基于用相应的周期性多层结构代替无界构型。因此，整个频谱变得离散，这使得问题变得更容易。将周期多层介质波导中模解的特征方程表示为矩阵形式，便于计算机求解。为了解决平板光波导的不连续性问题，我们用截断模展开式来表示反射场和透射场。反射模和透射模的未知幅度由边界条件决定。数值结果以图形方式显示，包括了用其他方法难以分析的情况。通过评估相对误差并与其他可用结果进行比较，验证了我们结果的准确性。
We propose an approximate method, of general applicability, for analyzing the discontinuities in slab dielectric waveguides. The method is based on replacing the unbounded configuration by a corresponding periodic multilayer structure. Hence the entire spectrum becomes discrete, and this makes the problem easier. The characteristic equation for the modal solution in a periodical multilayer dielectric waveguide is expressed in a matrix form which can be readily solved with a computer. In order to solve the discontinuity problems of slab waveguides, we expressed the reflected and transmitted fields by truncated modal expansions. The unknown amplitudes of the reflected and transmitted modes are determined by the boundary conditions. Numerical results are graphically shown including the cases which have been difficult to analyze by other methods. The accuracy of our results is checked by evaluating the relative errors and comparing with other available results.