光学分数傅里叶变换的卷积性质  

Convolution property of optical fractional Fourier transform

作　　者：高燕琴[1] 杨虎[2] 杨培林[2] 

机构地区：[1]中北大学理学院物理系,太原030051 [2]山西师范大学物理与信息工程学院,临汾041004

出　　处：《激光杂志》2008年第1期46-47,共2页Laser Journal

摘　　要：根据分数傅里叶变换的位移性质和卷积运算的定义,分析了卷积的光学分数傅立叶变换性质,给出了其数学表达和物理解释,并将所得结论与常规傅立叶变换的卷积性质做了对比。计算机模拟实验验证了理论的可靠性与可行性,该结论在光学测量、信息处理等应用领域具有实用价值。According to the shift character of fractional Fourier transform and the definition of the convolution operation, the fractional Fourier transform property of convolution is analyzed; its mathematics expression and physics explanation are given out. The conclusion and the convolution property of general Fourier transform is contrasted, The computer simulation proved the result is reliable and feasible . The results have the practical value in application such as optical measure, processing information etc.

关 键 词：分数级 傅立叶变换 卷积 

分 类 号：O438.2[机械工程—光学工程]