Conventionally, the behavior of light transmission in optical devices is based on total internal reflection or photonic bandgaps. The Dirac mode is regarded as another guiding mechanism that relies on the zero-density of radiation states around the Dirac point to avoid power leakage and thus achieves field confinement. Unlike conventional light guiding mechanisms, the Dirac mode features a unique algebraic decay profile around the Dirac frequency. In this study, the Dirac mode in the Kagome lattice of photonic crystals (PCs) at a Dirac frequency that is beyond any complete photonic bandgaps is observed, and its features are verified using finite difference time domain analyses. The results indicate that the Dirac mode in the triangular, honeycomb, and two-compound lattices of PCs also occurs in the Kagome lattice and has an extremely high quality factor of $1.03\times 10^6.$ Furthermore, analyses of the Dirac mode serve as a convenient method to control the all-range Dirac frequency by modifying the structural parameters accordingly, thus extending the applications of the Dirac mode in modern integrated optical devices.

通常，光学器件中的光传输行为基于全内反射或光子带隙。Dirac 模式被认为是另一种引导机制，它依靠 Dirac 点周围辐射态的零密度来避免功率泄漏，从而实现场限制。与传统的光导机制不同，狄拉克模式在狄拉克频率附近具有独特的代数衰减曲线。在这项研究中，在超出任何完整光子带隙的狄拉克频率下，光子晶体 (PC) 的 Kagome 晶格中的狄拉克模式被观察到，并使用有限差分时域分析验证了其特征。结果表明，三角形、蜂窝、$1.03\times 10^6.$ 此外，狄拉克模式的分析是通过相应地修改结构参数来控制全范围狄拉克频率的便捷方法，从而扩展了狄拉克模式在现代集成光学器件中的应用。