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 enlarging λL (λ is 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.