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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随机形状边界波导中谐振电磁场的数值模拟


对边界形状随机的二维单模波导中导模的反射和传输进行了数值模拟。由于采用了基于导模提取积分方程（GMEIE）的边界元方法，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。研究发现，即使对于轻微波纹的边界，也会发生具有高 Q 因子的强共振，并导致极小的透射率（高反射）。这些谐振是由于第二模式可以在随机波导中传播的区域的存在而产生的。详细检查这些共振的频率特性。