Abstract

We have designed a special purpose computer system for digital holographic particle tracking velocimetry (DHPTV). We present the pipeline for calculating the intensity of an object from a hologram by fast Fourier transform in an FPGA chip. This system uses four FPGA chips and can make 100 reconstructed images from a 256×256-grid hologram in 266 msec. It is expected that this system will improve the efficiency of analysis in DHPTV.

© 2006 Optical Society of America

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References

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  1. D.H.Barnhart, R.J.Adrian and G.C.Papen,"Phase-conjugate holographic system for high-resolution particle-image velocimetry," Appl. Opt. 33, 7159-7170 (1994).
    [CrossRef] [PubMed]
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    [CrossRef]
  3. J.Sheng, E.Malkiel and J.Katz,"Single beam two-views holographic particle image velocimetry," Appl. Opt. 42, 235-250 (2003).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  6. S. Satake, T. Kunugi, K. Sato and T. Ito, "Digital Holographic Particle Tracking Velocimetry for 3-D Transient Flow around an Obstacle in a Narrow Channel," Opt. Rev. 11, 162-164 (2004).
  7. T. Ito, T. Yabe, M. Ozaki and M. Yanagi,"Special-purpose computer HORN-1 for reconstruction of virtual image in three dimensions,"Comp. Phys. Commun. 82 104-110 (1994).
    [CrossRef]
  8. T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, "Special-purpose computer for holography HORN-2," Comp. Phys. Commun. 93 13-20(1996).
    [CrossRef]
  9. T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, "Special-purpose computer for holography HORN-3 with PLD technology," Comp. Phys. Commun. 130, 75-82(2000).
    [CrossRef]
  10. T. Shimobaba, and T. Ito, "Special-purpose computer for holography HORN-4 with recurrence algorithm," Comp. Phys. Commun. 148, 160-170(2002).
    [CrossRef]
  11. T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba and T. Sugie "A special-purpose computer for electroholography HORN-5 to realize a real-time reconstruction," Opt. Express , 13, 1923-1932(2005), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923</a>
    [CrossRef] [PubMed]

Appl. Opt.

D.H.Barnhart, R.J.Adrian and G.C.Papen,"Phase-conjugate holographic system for high-resolution particle-image velocimetry," Appl. Opt. 33, 7159-7170 (1994).
[CrossRef] [PubMed]

H.Memg and F.Hussain, "In-line recording and off-axis viewing technique for holographic particle velocimetry," Appl. Opt. 34, 1827-1840 (1995).
[CrossRef]

J.Sheng, E.Malkiel and J.Katz,"Single beam two-views holographic particle image velocimetry," Appl. Opt. 42, 235-250 (2003).
[CrossRef] [PubMed]

U.Schnars, T. Kreis and W.Juptner, "Direct recording of holograms by CCD target and numerical reconstruction," Appl. Opt. 33, 179-181 (1994).
[CrossRef] [PubMed]

Comp. Phys. Commun.

T. Ito, T. Yabe, M. Ozaki and M. Yanagi,"Special-purpose computer HORN-1 for reconstruction of virtual image in three dimensions,"Comp. Phys. Commun. 82 104-110 (1994).
[CrossRef]

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, "Special-purpose computer for holography HORN-2," Comp. Phys. Commun. 93 13-20(1996).
[CrossRef]

T. Shimobaba, N. Masuda, T. Sugie, S. Hosono, S. Tsukui, and T. Ito, "Special-purpose computer for holography HORN-3 with PLD technology," Comp. Phys. Commun. 130, 75-82(2000).
[CrossRef]

T. Shimobaba, and T. Ito, "Special-purpose computer for holography HORN-4 with recurrence algorithm," Comp. Phys. Commun. 148, 160-170(2002).
[CrossRef]

Opt. Express

T. Ito, N. Masuda, K. Yoshimura, A. Shiraki, T. Shimobaba and T. Sugie "A special-purpose computer for electroholography HORN-5 to realize a real-time reconstruction," Opt. Express , 13, 1923-1932(2005), <a href= "http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923</a>
[CrossRef] [PubMed]

Opt. Laser Technol.

S.Murata and N.Yasuda, "Potential of digitalholography in particle measurement," Opt. Laser Technol. 32, 567-574 (2000).
[CrossRef]

Opt. Rev.

S. Satake, T. Kunugi, K. Sato and T. Ito, "Digital Holographic Particle Tracking Velocimetry for 3-D Transient Flow around an Obstacle in a Narrow Channel," Opt. Rev. 11, 162-164 (2004).

Supplementary Material (1)

» Media 1: MOV (1995 KB)     

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Figures (5)

Fig. 1.
Fig. 1.

Block diagram of the FFT-HORN pipeline

Fig. 2.
Fig. 2.

Top view of HORN-5 board

Fig. 3.
Fig. 3.

Fringe images of simulated system: (a) 1024 × 1024-grid image of whole system, (b) 256 × 256-grid image of area indicated by white square in (a).

Fig. 4.
Fig. 4.

Comparison between the reconstructed images made (a) by the PC and (b) by FFT-HORN.

Fig. 5.
Fig. 5.

(2.0MB)Movie of reconstructed partciles flow. [Media 1]

Tables (1)

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Table 1. Comparison between the calculation time of FFT-HORN and a personal computer.

Equations (7)

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ϕ x i y i z i = 1 N 2 N 2 N 2 N 2 I α exp ( ikr αi ) r αi dx α dy α ,
r αi = ( x α x i ) 2 + ( y α y i ) 2 + z i 2 ,
ϕ x i y i z i exp ( ik z i ) z i N 2 N 2 N 2 N 2 I α exp [ ik 2 z i { ( x α x i ) 2 + ( y α y i ) 2 } ] dx α dy α .
g ( x i x α , y i y α ) = exp ( ikz i ) iλz i exp [ ik 2 z i { ( x α x i ) 2 + ( y α y i ) 2 } ] .
ϕ x i y i z i = N 2 N 2 N 2 N 2 I x α y α g x i x α y i y α dx α dy α .
Φ n m = I ̂ n m G n m
G n m = exp [ iπz i { 2 λ λ ( n N Δ x α + N Δ x α 2 z i λ ) 2 λ ( m N Δ y α + N Δ y α 2 z i λ ) 2 } ]

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