In this study, we report on the fractional Talbot effect of nonparaxial self-accelerating beams in a multilevel electromagnetically induced transparency (EIT) atomic configuration, which, to the best of our knowledge, is the first study on this subject. The Talbot effect originates from superposed eigenmodes of the Helmholtz equation and forms in the EIT window in the presence of both linear and cubic susceptibilities. The Talbot effect can be realized by appropriately selecting the coefficients of the beam components. Our results indicate that the larger the radial difference between beam components, the stronger the interference between them, the smaller the Talbot angle is. The results of this study can be useful when studying optical imaging, optical measurements, and optical computing.

中文翻译：

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具有电磁感应透明度的非傍轴自加速光束中的Talbot效应

在这项研究中，我们报告了在多级电磁感应透明（EIT）原子构型中非旁轴自加速光束的分数Talbot效应，据我们所知，这是对此主题的首次研究。Talbot效应源自Helmholtz方程的叠加本征模，并在线性和三次磁化率均存在的情况下在EIT窗口中形成。通过适当地选择光束分量的系数，可以实现塔尔伯特效应。我们的结果表明，梁组件之间的径向差越大，它们之间的干涉越强，塔尔伯特角越小。这项研究的结果在研究光学成像，光学测量和光学计算时可能会很有用。