规范光学分数傅里叶变换下的光学传递函数

基于规范光学分数傅里叶变换，从光学传递函数概念出发，根据菲涅耳衍射、夫琅和费衍射定义，应用线性系统理论，分别给出了菲涅耳与夫琅和费衍射系统在规范分数傅里叶变换下的光学传递函数数学表达式。证明了其具有分数傅里叶变换的级联性，指出常规傅里叶变换下的光学传递函数为分数传递函数的特例。所得结果对光学分数傅里叶变换在信息处理、像质评价等方面的应用具有实用价值。

Optical transfer function under normative optical fractional Fourier transform

Based on the normative fractional Fourier transform and the concept of the optical transfer function, using the linear system theory, the mathematic expressions of fractional transfer function in Fresnel diffraction system and Fraunhofer diffraction system are given respectively. It is proved that the fractional Fourier transform has the cascade feature, and the optical transfer function is the special case of fractional transfer function. The result can be used to support the application of fractional Fourier transform in information processing and image quality assessment.