分数傅里叶变换产生分数泰伯效应

讨论了如何使用分数傅里叶变换来产生分数泰伯效应，导出了要产生这种双重变换的光学条件，变换后的周期、变换比例因子和级联运算法则，并进行了实验验证。这种双重变换有助于光学系统的设计、分析和计算。最后给出了应用实例

Fractional Talbot Effect under Fractional Fourier Transform

How to produce the Talbot fractional effect using the fractional Fourier transform is discussed. The optical conditions under which this dual transform will be realized, transform scale factor, image period and operation rule for cascade are deduced, and then an experiment was made to verify the theory. This dual transform is helpful for the design, analysis and calculation of an optical system. An example of application is given in the end.