中文摘要：

关联成像可以在不包含物体的参考光路中获得物体的像，提供了一种运用常规手段难以获得清晰图像的方法，现已成为量子光学领域的前沿和热点。然而，高分辨率成像和短成像时间一直是关联成像研究的热门。本文提出一种基于压缩感知的参考臂差分关联成像方案（简称，参考臂差分压缩关联成像），只对参考臂测量值做差分运算，而不对物体做差分运算。在方案中，参考臂多次测量的赝热光源强度的随机分布差分被选为压缩感知的测量矩阵，物臂多次测量的关联信息被选为测量值，利用压缩感知重建方法，高质量地恢复出物体信息。理论研究和数值仿真结果表明，该方案可获得文献[19]差分压缩关联成像方案一样的结果，即无论在成像分辨率还是在成像时间等关键性能上都明显优于常规关联成像方案。

英文摘要：

Correlated imaging can obtain an image of object in the reference beam where the object is not inside.It provides a new method to slove the problems which are difficult using conventional imaging techniques.Currently,it has become one of the hot topics in quantum optics.However,how to shorten the reconstruction time and how to get high resolution are still open problems in correlated imaging scheme.In this paper,we proposed a new scheme with reference differential correlated imaging based on compressive sensing,named Reference Differential Compressive Ghost Imaging （RDCGI）. In the scheme,we utilized the difference of intensity distributution of the pseudo-thermal light which meets Gaussian random distribution as measurement matrix,we used the correlated measurement results as measurement vector,and we reconstructed the images of objects using the recovery algorithm of compressive sensing.The theoretical analysis and numerical simulation results showed that the RDCGI scheme had the same improvement as the Differential Compressive Ghost Imaging （DCGI）scheme in[19].RDCGI is superior to the traditional correlated imaging scheme both in the reconstruction time and the image resolution.