基于相位调制的复值物体压缩关联成像理论研究

A Compressive Complex-valued Ghost Imaging Theoretical Scheme Based on Phase Modulation

在关联成像方案中,通过强度关联可在参考臂上获得目标物体振幅信息,却不能恢复出目体物体的相位信息,而相位常常包含了目标物体的一些特殊信息.本文提出了一种新的关联成像方案,能够恢复出复值透射物体的振幅和相位信息.该方案通过分束器及π/2变相板在接收端分离出复值物体的实部和虚部信息,再利用二阶关联成像过程分别获得目标物体的实部和虚部信息,从而恢复出复值物体;在此基础上,利用压缩感知重建算法,获得了基于相位调制的复值物体的压缩关联成像方案.研究结果表明该方案可适用于一般化的复值物体恢复,也可克服测量次数多、重构时间长等目标物体重建问题.对于一般具有高斯分布的复值物体可用约奈奎斯特采样率的36%的测量次数获得振幅和相位恢复均方误差值约为10-2的高质量重建复值物体.

One can only get the amplitude information,but not the phase information of target object by correlated imaging system since the coincidence counting is taken on the second-order intensity correlation in correlated imaging systems.But the phases always carry some special information of the target object.In this paper,we propose a new correlated imaging scheme to retrive the amplitude and phase information of a complex-valued object.In the scheme,beamsplitters and aπ/2phase-changing plate are used to separate the real and imaginary part of the object,and the real and imaginary part information are then individually reconstructed by correlated imaging.Furthermore,we introduce a compressive sensing reconstruction algorithm to the reconstruction of the real and imaginary part,and get a compressive complex-valued ghost imaging scheme based on phase modulation.The numerical simulation results show that the scheme can apply to a general complex-valued object,and it can overcome the long reconstrution time problem in conventional correlated imaging.For the complex-valued object with Gaussian distribution,only 36%of the Nyquist limited measurement times is used to reconstruct the imaging with a high-quality,where the Mean Square Error of the reconstruted image is about 10-2.