For the fractional Fourier transform(frFT)with order of 2/3, its optical implement was realized, namely when a object has been placed at one side of a positive lens of foci / with distance of f/2, its 2/3 frFT is at another side of the lens with same distance. To confirm the exactness, basing on frFT's additivity and periodicity, through the same action's observation, three and six 2/3 order frFTs were connected and contrasting with 4/ and 8/ optical system, respectively. The frFT's advantage was also given.%对于级数为2/3的分数傅里叶光学变换,一种简单的实现方式是将物置于一个焦距为f的正薄透镜一侧f/2处,在透镜的另一侧的同距离处即得到该物的变换.为了验证其正确性,利用其可加性和周期性的性质,分别将3和6个这种2/3的分数傅里叶光学变换相加与傅里叶光学变换的4f和8f系统比较,观察到相同的输出结果,从而说明这种2/3分数傅里叶光学变换的实现方式是正确的.文中还说明了这种装置的优点.
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