会聚球面波照明下由菲涅耳衍射实现分数傅里叶变换

Fractional Fourier transformation implemented by Fresnel diffraction with converging spherical wave illumination

摘要: 提出了在会聚球面波照明下,用菲涅耳衍射实现分数傅里叶变换的光学装置。定量得出了为实现分数傅里叶变换系统结构参数应满足的条件。分析表明,利用该系统可实现任意阶分数傅里叶变换。

Abstract: This paper introduced an optical setup to perform fractional Fourier transformation by Fresnel diffraction with a converging spherical wave illumination.In order to realize the arbitrary order fractional Fourier transformation,the diffraction distance q,the locations of point light source and lenses must satisfy the conditions,formulated by this paper.