基于菲涅耳衍射理论,详细推导了预放大数字全息系统的点扩散函数表达式,并由此分析了该成像系统的分辨率.通过分别对整个系统、显微物镜以及CCD的点扩散函数幅值的计算机模拟,讨论了显微物镜与CCD分辨率之间的匹配问题.指明了现有文献中一些含糊说法.结果表明:恰当选择记录参量,使MO的成像分辨率接近于其极限分辨率,同时还要使CCD在满足抽样条件与再现像分离条件的情况下,再现像分辨率等于或略高于MO的分辨率.
Based on the Fresnel diffraction theory, the point spread function of digital holographic system with pre-magnification was firstly deduced in detail. The resolution of the imaging system was analyzed. The amplitude distributions of the point spread functions of the microscopic objective, the CCD and the whole system were simulated respectively. Then, the match requirement between the microscopic objective, and the CCD was discussed. Some ambiguties in existing literatures were clarified. The results show that making the imaging resolution of MO approached the limit resolution and the imaging resolution of CCD been equal to or higher than the resolution of MO slightly by chosing the recording parameters pertinently are optimizational choices. These results will be very important in the microscopic digital holography.