分数傅里叶变换和失调光学系统的衍射积分公式

FRACTIONAL FOURIER TRANSFORMS AND DIFFRACTION INTEGRAL FORMULA IN MISALIGNED SYSTEM

空域中光束通过失调的 ABCD光学系统的衍射积分公式在满足一定条件下 ,可实现分数傅里叶变换 .同时 ,对角谱通过失调的 ABCD光学系统变换的频域衍射积分公式也可实现分数傅里叶变换 .最后 ,以单透镜失调光学系统为例说明其应用 .

Under some conditions the diffraction integral formula of a beam through a misaligned ABCD optical system in space domain could realize the fractional Fourier transform.And also,the diffraction integral formula in frequency domain for angle spectrum through a misaligned ABCD optical system could realize the fractional Fourier transform.At last,an optical system with a misaligned lens is given to illustrate its application.