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Chinese Optics Letters, Volume. 14, Issue 7, 070901(2016)

Fast reconstruction of digital holograms for extended depths of field

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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    (a) Image “Lenna.” (b) Cosine hologram of the “Lenna” image, and (c) sine hologram of the “Lenna” image.

    Fig. 1. (a) Image “Lenna.” (b) Cosine hologram of the “Lenna” image, and (c) sine hologram of the “Lenna” image.

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    (a) Reconstructed image, at the focal distance of 0.1 m, based on Eq. (2). (b) Reconstructed image, based on our proposed algorithm.

    Fig. 2. (a) Reconstructed image, at the focal distance of 0.1 m, based on Eq. (2). (b) Reconstructed image, based on our proposed algorithm.

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    (a) Cosine hologram of the “Star-Heart” pattern and (b) sine hologram of the “Star-Heart” pattern.

    Fig. 3. (a) Cosine hologram of the “Star-Heart” pattern and (b) sine hologram of the “Star-Heart” pattern.

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    (a) Reconstructed image, at the focal distance 0.099 m (focusing on the Star symbol), based on Eq. (2). (b) Reconstructed image, at the focal distance 0.124 m (focusing on the Heart symbol), based on Eq. (2). (c) Image reconstructed from the “Star-Heart” complex hologram with our proposed method.

    Fig. 4. (a) Reconstructed image, at the focal distance 0.099 m (focusing on the Star symbol), based on Eq. (2). (b) Reconstructed image, at the focal distance 0.124 m (focusing on the Heart symbol), based on Eq. (2). (c) Image reconstructed from the “Star-Heart” complex hologram with our proposed method.

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    Image reconstructed from the combined “Lenna” and “Star-Heart” complex holograms with our proposed method.

    Fig. 5. Image reconstructed from the combined “Lenna” and “Star-Heart” complex holograms with our proposed method.

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    • Table 1. Computation Time Involved in Each Stage of the Proposed Algorithm, N=51

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      Table 1. Computation Time Involved in Each Stage of the Proposed Algorithm, N=51

      DescriptionComputation time
      Fourier transform of H(x,y), 512×512 pixels2 ms
      S˜i(ωx,ωy)|0≤i<N=FT[H(x,y)]×FT[F*(x,y;zi)]Negligiblea
      Inverse fourier transform of S˜i(ωx,ωy)0≤i<N2N  ms
      Selection of pixels from sections (Eq. (3))Negligiblea
      Total≈2(N+1)  ms
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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," Chin. Opt. Lett. 14, 070901 (2016)

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    Paper Information

    Category: Holography

    Received: Mar. 21, 2016

    Accepted: May. 5, 2016

    Published Online: Aug. 3, 2018

    The Author Email: P. W. M. Tsang (eewmtsan@cityu.edu.hk)

    DOI:10.3788/COL201614.070901

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology