用单次菲涅尔衍射实现分数傅里叶变换

Implementation of Fractional Fourier Transform by One Fresnel Diffraction

提出一些实现分数傅里叶变换的新的基本模式。这些基本模式仅使用一个透镜和单次菲涅尔衍射。给光学设计增加一些新的可选基本类型。对于给定焦距的透镜，它能完成的分数傅里叶变换是Ｌｏｈｍａｎｎ给出的单透镜结构无法实现的。

Some novel basic optical units constructed by one Fresnel transform and one lens to produce fractional Fourier transforms are suggested. It augments the available models for one to choose in optical design. For a given lens, they can perform some fractional Fourier transforms that can not be implemented by Lohmanns setup composed of one lens.