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Special purpose computer for digital holographic particle tracking velocimetry

Nobuyuki Masuda, Tomoyoshi Ito, Kazuya Kayama, Hiroaki Kono, Satake Shin-ichi, Tomoaki Kunugi, and Kazuho Sato

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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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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

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Fig. 2.
Fig. 2. Top view of HORN-5 board

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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).

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Fig. 4.
Fig. 4. Comparison between the reconstructed images made (a) by the PC and (b) by FFT-HORN.

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Fig. 5.
Fig. 5. (2.0MB)Movie of reconstructed partciles flow. [Media 1]

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Tables (1)

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

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Equations (7)

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

ϕ x i y i z i = 1 iλ ∫ − 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 ) iλ 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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