In this article, we present mobile teaching and learning of coupled-line structures using the multiple-1D coupled-line finite-difference time-domain (M1D CL-FDTD) method. The formulation of the M1D CL-FDTD method applicable for CL structures is provided. The method bypasses the more computationally intensive full-wave 3D method, and it is well suited for implementation on mobile devices. Several mobile apps are developed to provide interactive visualization of electromagnetic (EM) wave propagation in CL structures. These visualizations allow the underlying resonating and coupling mechanisms to be elucidated clearly and improve students' understanding of CL theories. Mobile teaching and learning of various CL structures, including coupled transmission lines, CL bandpass filters, directional couplers, and branch-line couplers, are demonstrated and discussed.

中文翻译：

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耦合线结构的移动教学：多一维耦合线有限差分时域方法。

在本文中，我们介绍了使用多一维耦合线有限差分时域 (M1D CL-FDTD) 方法进行耦合线结构的移动教学。提供了适用于 CL 结构的 M1D CL-FDTD 方法的公式。该方法绕过了计算量更大的全波 3D 方法，非常适合在移动设备上实现。开发了多个移动应用程序以提供 CL 结构中电磁 (EM) 波传播的交互式可视化。这些可视化可以清楚地阐明潜在的共振和耦合机制，并提高学生对 CL 理论的理解。各种CL结构的移动教学和学习，包括耦合传输线、CL带通滤波器、定向耦合器和支线耦合器，