利用全息透镜阵列实现多通道分数傅里叶变换

Implementation of the Multichannel Fractional Fourier Transform Using Holographic Lens Array

提出利用全息透镜阵列来实现多通道分数傅里叶变换技术。分析了全息透镜阵列的制作原理,对多个物体实现了分数阶次各不相同的多通道分数傅里叶变换,并与光学透镜实现的实验结果进行了比较,两者的分数频谱互相一致。这种技术在多通道光学信息处理系统及多目标图像识别系统等方面有非常重要的应用。

In this paper, a technology of implementation of the multichannel fractional Fourier transform（FRT） is proposed using holographic lens array. The principle of making holographic lens array is analyzed. The multichannel FRT with different fractional order is implemented for several objects. We have compared the experimental results of FRT using holographic lens array with that using optical lens. As a result, both fractional spectra are consistent. The mutichannel FRT can be applied in the multichannel optical information processing and the mutitarget recognition.