As a kind of typical self-accelerating laser beam, Airy beams have attracted much attention due to their fascinating properties and various potential applications. In this work, we carry out a full vector wave analysis of Airy beams upon reflection and refraction. A hybrid method based on the angular spectrum representation and vector potential in the Lorenz gauge is introduced to describe the vectorial structure of Airy beams upon reflection and refraction. The explicit analytical expressions for the electric and magnetic field components of arbitrarily incident Airy beams reflected and refracted at an air-medium interface are derived in detail. Local-field patterns and magnitude profiles with different parameters are displayed. The analytical formulas obtained in this work can be practically applied to explore the local dynamical characteristics, including the energy, momentum, spin, and orbital angular momentum of Airy beams upon reflection and refraction.

中文翻译：

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反射和折射时艾里光束的矢量波分析。

作为一种典型的自加速激光束，艾里光束由于其引人入胜的性能和多种潜在应用而备受关注。在这项工作中，我们对艾里光束在反射和折射时进行了完整的矢量波分析。引入了基于角谱表示和洛伦兹量规中矢量势的混合方法来描述艾里光束在反射和折射时的矢量结构。详细推导了在空气-介质界面反射和折射的任意入射的艾里光束的电场和磁场分量的明确解析表达式。显示具有不同参数的局部场模式和幅度剖面。在这项工作中获得的解析公式可以实际用于探索局部动力学特征，