中文摘要：

基于Akhmediev呼吸子解,讨论周期调制波场在非线性介质和线性介质中传输时所出现的塔尔博特现象。结果表明,通过适当地调节频率因子F,可以展示出塔尔博特自成像现象。这种特殊的光学现象是由衍射光束的相干性引起的,它们在光通信领域有着潜在的应用。

英文摘要：

In this paper,based on the Akhmediev breather we demonstrated the Talbot effect from propagating periodically modulated continuous wave in a nonlinear media and a linear media.The results showed that the recurrence patterns of the Talbot effect can be drawn by suitably choosing the frequency modulation factor.The phenomenon is result of the coherence of the diffraction beams.The simple Talbot effect can find its potential applications in optical communication.