标题： 简化的模态方法在塔尔博特效应中的模态分析 显示英文标题

标题： Mode analysis of Talbot effect with simplified modal method

摘要： 我们报告了对具有{\pi }相位跳变的塔尔博特效应周期性特性的首次观察。 从简化的模态方法推导出解析表达式，以分析具有{\pi }相位跳变的塔尔博特效应的新奇现象，这可以加深我们对物理衍射过程的理解。 重要的是，{\pi }相位跳变的物理原因可以归因于两个偶数光栅模式使E1实部的左导数和右导数符号相反，这导致一阶衍射波的物理信息隐藏在近场塔尔博特效应图像中。 我们期望这项理论工作将有助于塔尔博特效应的巨大潜在应用。 显示英文摘要

摘要： We report the first observation of the periodical properties for Talbot effect with {\pi} phase jump. Analytical expressions are derived from simplified modal method to analyze the novelty phenomenon of the Talbot effect with {\pi} phase jump, which can deepen our understanding of physical diffraction process. Importantly, the physical reason of {\pi} phase jump can be attributed to that the two even grating modes make the left derivative and right derivative of real part of the E1 opposite in sign, which results in the physical information of first order diffractive wave hidden in the near field Talbot effect image. We expect that this theoretical work will be helpful for the tremendous potential applications of the Talbot effect.