相干调制成像技术的迭代收敛性及重建唯一性  

Iterative Convergence and Reconstruction Uniqueness of Coherent Modulation Imaging

作　　者：潘兴臣[1,2] 刘诚[1,2] 朱健强[1,2] Pan Xingchen;Liu Cheng;Zhu Jianqiang(Key Laboratory of High Power Laser and Physics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China;National Laboratory on High Power Laser and Physics,China Academy of Engineering Physics,Chinese Academy of Sciences,Shanghai 201800,China)

机构地区：[1]中国科学院高功率激光物理重点实验室,中国科学院上海光学精密机械研究所,上海201800 [2]中国科学院中国工程物理研究院高功率激光物理联合实验室,上海201800

出　　处：《光学学报》2020年第18期101-110,共10页Acta Optica Sinica

基　　金：国家自然科学基金(61827816,11875308,61675215);中国科学院科研仪器设备研制项目(YJKYYQ20180024);中国科学院战略性先导科技专项(A类)(XDA25020306,XDA25020105);上海市“科技创新行动计划”项目(19142202600)。

摘　　要：将相干调制成像(CMI)迭代过程等效为梯度搜索算法,建立了CMI收敛模型,从解方程角度提出为保证重建结果的唯一性需要满足的基本条件,即有调制板时光斑非0点数是无调制板时光斑非0点数的2倍,或有调制板时放大λL(λ为波长,L为衍射距离)倍后的调制板频谱截止宽度与无调制板时光斑截止宽度的比值至少为0.414。通过模拟计算进行了很好的验证。该研究为CMI的进一步优化提供了理论依据。The iteration progress of coherent modulation imaging(CMI)is equivalent to gradient search algorithm,and a CMI convergence model is established.From the perspective of solving equations,the basic conditions to ensure the uniqueness of reconstruction results are put forward,i.e.,the number of non-zero points of the diffraction pattern with a modulation plate is twice as much as that without the modulation plate,or the ratio of the spectrum cut-off width after enlargingλL(λis the wavelength and L is the diffraction distance)times with the modulation plate to the spectrum cut-off width without the modulation plate is at least 0.414.It is verified by simulation.This study provides a theoretical basis for further optimization of CMI.

关 键 词：成像系统 相位恢复 相干衍射成像 相干调制成像 迭代算法 

分 类 号：O438[机械工程—光学工程]