In this article, we studied the characteristics of multi-mode propagation and electric field distribution for a single layered and multi-layered periodic infinite-length square chain structures. We also studied the characteristics of mode propagation in silver and dielectric circular-rod chain structures. This article examines three modes of propagation in three Bragg propagation periods of a square chain structure. Each mode exhibits different forms in each of the three propagation periods, including the propagation, leaky, and cut-off modes. We also consider multiple complex characteristics. For example, the directions of wave and energy propagation paths have two forms: syntropy and reverse (one-way and two-way). The leaky wave has a variety of distribution states, for instance, attenuation and divergence. By analyzing these new physical properties, we have established a solid foundation for better development and application of leaky antennas and other applications. The method in this article was designed and validated for general metal structure applications.

中文翻译：

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变链结构三个布拉格传播周期的混合传播模式

在本文中，我们研究了单层和多层周期性无限长方形链结构的多模传播特性和电场分布特性。我们还研究了银和介电圆棒链结构中的模式传播特性。本文研究了方形链结构的三个布拉格传播周期中的三种传播模式。每种模式在三个传播周期中的每一个中都表现出不同的形式，包括传播、泄漏和截止模式。我们还考虑了多个复杂的特征。例如，波和能量传播路径的方向有两种形式：同向和反向（单向和双向）。漏波具有多种分布状态，例如衰减和发散。通过分析这些新的物理特性，我们为更好地开发和应用泄漏天线等应用奠定了坚实的基础。本文中的方法是针对一般金属结构应用而设计和验证的。