Keywords: 
• 人工带隙材料 /
• 拓扑 /
• Dirac方程

Abstract: Recently,artificial bandgap materials (such as photonic crystals and phononic crystals) have been becoming the research hotspot of the next generation intelligent materials,because of its extremely designable,tunable and controllable capacity of classical waves.On the other hand,topological material phase,originally proposed and first demonstrated in Fermionic electronic systems,has been proposed in more and more Bosonic systems.In this review paper,we first focus on some of the representative photonic/phononic topological models,and four common types of topological photonic system are discussed:l) photonic/phononic quantum Hall effect with broken time-reversal symmetry;2) photonic topological insulator and the associated pseudo-time-reversal symmetry protected mechanism;3) time/space periodically modulated photonic Floquet topological insulator;4) a summary and outlook including a brief introduction of Zak phase in onedimensional systems and Weyl point in three-dimensional systems.Finally,the underlying Dirac model is analyzed.