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A simple coupled-mode analysis method for multiple-core optical fiber and coupled dielectric waveguide structures

机译:一种多芯光纤和耦合介质波导结构的简单耦合模式分析方法

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A simple approximation method is proposed that is partly based on the conventional coupled-mode analysis and uses the coupled transmission-line equations the matrix elements of which are coupling coefficients. The coupling coefficients between adjacent cores are evaluated from the propagation constants of the even and odd modes of a dual-core structure, considering the orientation of the transverse electric field vector. The coupling coefficients between the nonadjacent are assumed to be negligible. This procedure corresponds to Huckel's approximation in the analysis of molecular orbitals governed by Schrodinger's equation. The results of numerical calculation are compared with those of a rigorous analysis. It is found that as the separation between cores is decreased and the effect of coupling between nonadjacent cores becomes stronger, the accuracy of the method is slightly reduced.
机译:提出了一种简单的近似方法,该方法部分基于常规的耦合模式分析,并使用其矩阵元素为耦合系数的耦合传输线方程。考虑到横向电场矢量的方向,从双芯结构的偶数和奇数模式的传播常数评估相邻芯之间的耦合系数。假设不相邻的耦合系数可忽略不计。该过程与由薛定inger方程控制的分子轨道分析中的Huckel近似法相对应。将数值计算的结果与严格分析的结果进行比较。发现随着芯之间的间隔减小并且非相邻芯之间的耦合作用变得更强,该方法的精度稍微降低。

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