Research Of Compressive Correlated Imaging Based On Entanglement Of Photon Orbital Angular Momentum

The correlated imaging, is also called ghost imaging, quantum imaging, coincidenceimaging. Its principle is that an object is placed in one branch, the image of the object is obtainedin other path by the intensity correlation at the receiver,. The path containing the object is namedsignal arm, the other one is referred as idle arm. Because of its unique non-localized, highresolution, correlated imaging become the hot topic in quantum optics research, and have broadapplication prospects in military, medical, communications and other fields.According to the light source in correlated imaging is the quantum entanglement light orclassic pseudo-thermal light, correlated imaging is divided into quantum correlated imaging andclassical correlated imaging. The thesis focuses on quantum correlated imaging.Based on the multiple grey scales quantum correlated imaging scheme using orbital angularmomentum and the relationship between the color image and multigray imaging, the thesis firstpresent a correlated imaging scheme for a color object. The scheme is verified by simulation inLabview software and experiment completed at quantum communication experiment platform.The results show that the scheme can effectively restore the image of color objects. The averagepeak signal-to-noise ratio (PSNR) are used as the objective criteria for the image, The results show that themean PSNR of the restored images of NUPT image were34.425in simulation and8.082inexperiment, respectively.The thesis further explores the combination of compressive sensing and correlated imaging.Firstly, the thesis numerical analyses the influence of different random measurement matrix oncompressed correlated imaging based on entangled photons. The results show that thereconstructed image of compressive correlated imaging is better than that of correlated imagingwithout compressive sensing, and it can reduce the sampling number significantly; The quality ofthe reconstructed image is increased with the sampling rate increases. For example, the matchingdegree can reach0.5512when the sampling rate is0.5; and the better reconstructed image couldbe obtained when Topelietz cyclic matrix are used as the random pattern mapping on the SLM.Based on the compressive pseudothermal correlated imaging and entangled-photoncompressive correlated imaging, the thesis later presents a compressive correlated imagingscheme based on the orbital angular momentum entanglement. It is shown that the information ofthe object can be retrieved by compressive sensing with the joint spectrum of orbital angular momentum. For instance, this thesis presents the example for the double-slit image object, Crosssymmetrical image and NUPT image object with Gaussian random matrix as the measurementmatrix, Match Pusuit as the recovery algorithms (number of iterations is2000).. The result showsthat the images can be resonstruced effectively when the sampling rate is low.Since the minimum total variation reconstruction algorithm can keep the image pixelsrelated information very well, the improved version at last be applied to the compressive ghostimaging based on orbital angular momentum entanglement. The numercial result shows that theimage matching degree can reach0.98528when the sampling rate is0.6for two grayscale NUPTimage by using the improved minimum total variation reconstruction algorithm.