球面波照射下实现非精确分数阶傅里叶变换

Achieving Non-exact Fractional Fourier Transform in the Rays of Spherical Waves

利用菲涅耳衍射知识对球面波照射下物平面和观察平面光场分布间的非精确分数傅里叶变换关系进行了定量的分析,并将其与精确傅里叶变换相比较,得出结论:观察平面上的强度分布是相同的,但复振幅分布存在相位差.定量的给出了球面波照射下实现任意阶非精确分数傅里叶变换时系统参数的选择定则.

In this paper, non-exact fractional Fourier transform relation between the object plane and the transforming plane in the rays of spherical waves is quantitatively obtained by utilizing the Fresnel diffraction equation. Compared with that of exact fractional Fourier transform, the complex amplitude distribution of the non-exact transform has phase change, while the intensity distribution on the transforming plane of the latter is identical with that of the former. A determining law for selecting the parameters of obtaining arbitrary order of the non-exact transform is also deducted quantitatively.