放大同轴全息图压缩传感层析重建

文中对放大方式下同轴全息图压缩传感重建开展了实验研究，目的是实现分层物体放大方式下的同轴全息图的层析重建。首先，对同轴全息图压缩传感重建进行了理论介绍，并给出了实现步骤，包括全息图频域减采样模式、两步迭代算法流程等；其次，建立了点源放大同轴全息图记录实验系统和显微物镜放大同轴全息图记录实验系统，以双层样本为例开展了实验工作，所记录的同轴全息图基于压缩传感理论进行了层析重建，同时基于传统的卷积算法也进行了反衍射重建。实验结果表明:两种放大方式下获得的全息图，通过压缩传感层析重建技术能够实现物体的层析重建，并且比传统卷积反衍射重建具有更好的结果，显示了压缩传感层析重建的能力和优势。

Tomographic reconstruction of magnified in-line hologram based on compressive sensing

The compressive sensing reconstruction of magnified in-line hologram was experimentally researched in this paper. It aimed at the tomographic reconstruction of magnified multilayer samples. Firstly, the compressive sensing reconstruction of in-line hologram was introduced in theory, and the realization procedure was shown, including frequency domain down-sampling mode, the flow of two-step iterative algorithms, etc. Secondly, hologram recording system in case of point-source magnification and microscope objective magnification was established, the experimental work was carried out, which took multilayer samples as an example, and tomographic reconstruction of recorded in-line hologram based on compressive sensing. In the same time, it processed back-propagation reconstruction based on traditional convolution algorithm. The experimental results show that compressive sensing tomographic reconstruction technology can realize the tomographic reconstruction of holograms obtained in two magnification modes, and have better reconstruction results than the traditional convolutional inverse diffraction reconstruction. And it shows the ability and superiority of compressive-sensing tomographic reconstruction.