The reflection and transmission of guided mode in the 2-D single-mode waveguide whose boundary is random shape is numerically simulated. Since the boundary element method based on the guided-mode extracted integral equation (GMEIE) is employed, the boundary condition on the random boundary is rigorously satisfied. The dependence of the transmission coefficient on the amplitude of the random boundary is investigated. It is found that strong resonances with high ${Q}$ -factor occur even for slightly corrugated boundaries and cause the extremely small transmission (high reflection). These resonances are created by the existence of the region where the second mode can propagate in the random waveguide. The frequency characteristics of these resonances are examined in detail.

中文翻译：

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具有随机形状边界的波导中谐振电磁场的数值模拟

数值模拟了边界为随机形状的二维单模波导中导模的反射和传输。由于采用了基于导模提取积分方程（GMEIE）的边界元方法，因此严格满足随机边界上的边界条件。研究了传输系数对随机边界幅度的依赖性。发现具有高的强共振 ${Q}$ -factor 甚至会出现在轻微波纹的边界上，并导致极小的透射（高反射）。这些共振是由第二模式可以在随机波导中传播的区域的存在造成的。详细检查这些共振的频率特性。