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希尔伯特变换在同轴数字全息再现中的应用

Application of Hilbert transform in reconstruction of in-line digital holography

  • 摘要: 为了克服2步数字全息需要记录多幅图像且在进行相移时理论相移值和实际相移值总存在误差的缺点,提出了一种用单幅同轴数字全息图再现物体真实像的方法。该方法利用希尔伯特变换可以实现数字相移并且可同时滤除直流分量的特点,通过对记录的全息图进行两次希尔伯特变换,即可依次得到没有0级分量的相移量为π/2的全息图和无相移的全息图,然后运用2步相移数字全息处理方法即可再现出原物体的像。结果表明,该方法能很好地再现原物体的像。

     

    Abstract: In order to overcome the shortcomings of the two-step phase-shift digital holography,i.e.,the need to record multiple images and the phase shift error between actual phase shift and theoretical phase shift,a new method was presented to reconstruct the real image based on a single in-line hologram.The method uses characteristics of the Hilbert transform which can achieve digital phase shift and filter the direct-current(DC)component at the same time,Hilbert transform was used twice to the recorded hologram,no DC component holograms with π/2 phase-shift and without phase shift were obtained in turn,and then the two-step phase-shift digital holography method was used to reconstruct the real image.The feasibility of the method was verified through experiments.The experiment results show that the method can well restructure the original image of the object.

     

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