利用分数傅里叶变换设计衍射光学元件

Design of Diffractive Optical Element by Using the Fractional Fourier Transform

讨论了分数傅里叶变换与菲涅尔衍射的关系,提出球面衍射过程就是一种具有尺度因子的分数傅里叶变换,并应用分数傅里叶变换进行衍射光学元件的设计。

This paper discusses the relationship between the fractional Fourier transform and the Fresnel diffraction, and presents that the optical diffraction from a spherical surface equals the scaled fractional Fourier transform. This new relationship is employed to design diffractive optical element.