• Chinese Optics Letters
  • Vol. 14, Issue 7, 070901 (2016)
P. W. M. Tsang1、*, T.-C. Poon2, T. Kim3, and Y. S. Kim3
Author Affiliations
  • 1Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR, China
  • 2Bradley Department of Electrical and Computer Engineering, Virginia Tech, Blacksburg, VA 24061, USA
  • 3Dept of Optical Engineering, Sejong University, 209, Neungdong-ro, Gwangjin-gu, Seoul, South Korea
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    DOI: 10.3788/COL201614.070901 Cite this Article Set citation alerts
    P. W. M. Tsang, T.-C. Poon, T. Kim, Y. S. Kim. Fast reconstruction of digital holograms for extended depths of field[J]. Chinese Optics Letters, 2016, 14(7): 070901 Copy Citation Text show less

    Abstract

    Past research has demonstrated that a static, three-dimensional (3D) object scene can be directly recorded as a complex digital hologram. However, numerical reconstruction of the object scene, which may comprise multiple sections located at unknown distances from the hologram, is a complicated and computation-intensive process. To the best of our knowledge, we propose, for the first time, a low complexity method that is capable of reconstructing a complex hologram, such that sections at different depths in the 3D object scene can be automatically reconstructed at the correct focal distances and merged into a single image for an extended depth of field. We demonstrate an order of magnitude increase of the depth of field for binary objects. With the use of a graphical processing unit, the reconstruction of a 512×512 complex hologram can be accomplished in about 100 ms, equivalent to around 10 frames per second.
    Si(x,y)=H(x,y)F*(x,y;zi),(1)

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    Si(x,y)=FT1[S˜i(ωx,ωy)]=FT1FT[H(x,y)]×FTF*(x,y;zi),(2)

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    IR(x,y)=KM(x,y)i=0N1ai(x,y)di(x,y),(3)

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    P. W. M. Tsang, T.-C. Poon, T. Kim, Y. S. Kim. Fast reconstruction of digital holograms for extended depths of field[J]. Chinese Optics Letters, 2016, 14(7): 070901
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