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用菲涅耳衍射和振幅全息的理论 ,分析了数字全息的物像关系和再现像的分辨率 ,并进行相应的数值模拟和实验研究。研究结果表明 :数字全息的物像关系与传统振幅全息的物像关系是等同的 ,当用相同波长的准直光记录和再现数字全息图时 ,可以得到与原物完全相同的再现像 ,且再现光入射方向的变化仅使再现像位置发生平移 ,对其大小没有影响。数字全息的横向分辨率与传统成像光学仪器的分辨本领具有相同的物理意义 ,其大小主要取决于再现像位置处以CCD尺寸为窗口的衍射极限。模拟计算和实验测量的结果是完全吻合的 ,但在实际物体的记录中 ,由于噪声、照明光场的不均匀性、物光衍射光场的调制和CCD动态范围的影响 ,后者的误差比前者大。
With the theory of Fresnel diffraction and amplitude holography, the relationship between the image and the image of the digital holography and the resolution of the reproduced image are analyzed, and the corresponding numerical simulation and experimental research are carried out. The results show that the relationship between the object and the image of digital holography is equivalent to that of the traditional amplitude holography. When the digital hologram is recorded and reproduced with the collimated light of the same wavelength, the reproduced image can be obtained exactly The change in the direction of the incident light only shifts the position of the reproduced image, and has no effect on the size. The lateral resolution of digital holography has the same physical meaning as the resolving power of traditional imaging optics, and its size depends mainly on the diffraction limit of the window with the CCD size at the reproduction image position. The simulation results are in good agreement with the experimental results. However, due to the influence of noise, uneven illumination field, the modulation of the optical diffraction field and the dynamic range of the CCD, the error ratio The former is large.