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Special-purpose computer HORN-5 for a real-time electroholography

Tomoyoshi Ito, Nobuyuki Masuda, Kotaro Yoshimura, Atsushi Shiraki, Tomoyoshi Shimobaba, and Takashige Sugie

Open Access Open Access

Abstract

In electroholography, a real-time reconstruction is one of the grand challenges. To realize it, we developed a parallelized high-performance computing board for computer-generated hologram, named HORN-5 board, where four large-scale field programmable gate array chips were mounted. The number of circuits for hologram calculation implemented to the board was 1,408. The board calculated a hologram at higher speed by 360 times than a personal computer with Pentium4 processor. A personal computer connected with four HORN-5 boards calculated a hologram of 1,408×1,050 made from a three-dimensional object consisting of 10,000 points at 0.0023 s. In other words, beyond at video rate (30 frames/s), it realized a real-time reconstruction.

©2005 Optical Society of America

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Supplementary Material (2)

Media 1: MOV (781 KB)     
Media 2: MOV (353 KB)     

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Figures (10)
Fig. 1.
Fig. 1. Basic structure of HORN system.

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Fig. 2.
Fig. 2. Real-time reconstruction system by HORN-5 including the optical setup.

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Fig. 3.
Fig. 3. Schematic drawing of our recurrence formulas algorithm.

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Fig. 4.
Fig. 4. Block diagram of BPU (Basic Processing Unit).

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Fig. 5.
Fig. 5. Block diagram of APU (Additional Processing Unit).

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Fig. 6.
Fig. 6. Block diagram of the HORN-5 pipeline.

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Fig. 7.
Fig. 7. Top view of the HORN-5 board.

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Fig. 8.
Fig. 8. Snapshot of a real-time electroholography by HORN-5; (a) the original graphics [Media 1], (b) the CGH and (c) the constructed image [Media 2].

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Fig. 9.
Fig. 9. Basic structure of HORN system without delay by communications.

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Fig. 10.
Fig. 10. Parallel system by HORN.

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Tables (1)

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Table 1. Performance of the HORN-5 system compared with a PC

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Equations (7)

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I ( x α , y α ) = ∑ j = 1 M A j cos [ 2 π λ ( x α − x j ) 2 + ( y α − y j ) 2 + z j 2 ] .
I ( x α , y α ) = ∑ j = 1 M A j cos [ 2 π λ ( z j + x α j 2 + y α j 2 2 z j ) ] .
I ( X α , Y α ) = ∑ j = 1 M A j cos [ 2 π ( p Z j λ + p 2 λ Z j ( X α j 2 + Y α j 2 ) ) ] .
I ( X α + k , Y α ) = ∑ j = 1 M A j cos ( 2 π Θ k ) .
Θ 0 = p Z j λ + p 2 λ Z j ( X α j 2 + Y α j 2 ) , Γ 0 = p 2 λ Z j ( 2 X α j + 1 ) , Δ = p λ Z j .
Θ k + 1 = Θ k + Γ k , Γ k + 1 = Γ k + Δ .
Z ( 1 ) j = p 2 λ Z j , Z ( 2 ) j = p Z j λ .
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