提出了假彩色编码分数傅里叶变换彩虹全息图 ,并对其再现像的位置、大小、编码色的设计进行了讨论。基于再现像的位置、大小与记录系统分数阶有关 ,其编码颜色既与狭缝位置又与记录系统和再现系统的分数阶有关的特性 ,可建立一种新的防伪全息术。 A false color coded fractional Fourier transform rainbow hologram is proposed, and its position, size and coding color of the reproduced image are discussed. Based on the fact that the position and size of the reproduced image are related to the fractional order of the recording system, the encoded color is related to both the position of the slit and the fractional order of the recording system and the reproduction system, a new anti-counterfeiting hologram can be established.