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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    [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. 82104–110 (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. 9313–20(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(2002).
    [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, K.N. 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),http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923
    [Crossref] [PubMed]

2005 (1)

2004 (1)

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).

2003 (1)

2002 (2)

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(2002).
[Crossref]

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

2000 (1)

S. Murata and N. Yasuda, “Potential of digitalholography in particle measurement,” Opt. Laser Technol. 32, 567–574 (2000).
[Crossref]

1996 (1)

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

1995 (1)

1994 (3)

Adrian, R.J.

Barnhart, D.H.

Eldeib, H.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

Hosono, S.

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(2002).
[Crossref]

Hussain, F.

Ito, T.

T. Ito, K.N. 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),http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923
[Crossref] [PubMed]

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).

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(2002).
[Crossref]

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

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

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. 82104–110 (1994).
[Crossref]

Juptner, W.

Katz, J.

Kreis, T.

Kunugi, T.

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).

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

Malkiel, E.

Masuda, N.

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(2002).
[Crossref]

Memg, H.

Murata, S.

S. Murata and N. Yasuda, “Potential of digitalholography in particle measurement,” Opt. Laser Technol. 32, 567–574 (2000).
[Crossref]

Ozaki, M.

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. 82104–110 (1994).
[Crossref]

Papen, G.C.

Satake, S.

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).

Sato, K.

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).

Schnars, U.

Sheng, J.

Shimobaba, T.

T. Ito, K.N. 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),http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-6-1923
[Crossref] [PubMed]

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

Shiraki, A.

Sugie, T.

Takahashi, S.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

Tsukui, S.

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(2002).
[Crossref]

Yabe, T.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

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. 82104–110 (1994).
[Crossref]

Yanagi, M.

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. 82104–110 (1994).
[Crossref]

Yasuda, N.

S. Murata and N. Yasuda, “Potential of digitalholography in particle measurement,” Opt. Laser Technol. 32, 567–574 (2000).
[Crossref]

Yoshida, K.

T. Ito, H. Eldeib, K. Yoshida, S. Takahashi, T. Yabe, and T. Kunugi, “Special-purpose computer for holography HORN-2,” Comp. Phys. Commun. 9313–20(1996).
[Crossref]

Yoshimura, K.N.

Appl. Opt. (4)

Comp. Phys. Commun. (4)

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. 82104–110 (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. 9313–20(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(2002).
[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 (1)

Opt. Laser Technol. (1)

S. Murata and N. Yasuda, “Potential of digitalholography in particle measurement,” Opt. Laser Technol. 32, 567–574 (2000).
[Crossref]

Opt. Rev. (1)

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)

Tables Icon

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

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

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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