Abstract

Second-harmonic-generated holograms directly provide the outputs of logical gates and and nand operating on optical bits encoded as amplitude modulations in the object and reference wave fronts. By use of a Nd:YAG laser and a β-barium borate crystal, we realized a real-time half-adder of two one-digit binary numbers. The feasibility of highly parallel operation is also discussed.

© 2000 Optical Society of America

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References

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  1. R. M. Shelby, J. A. Hoffnagle, G. W. Burr, C. M. Jefferson, M.-P. Bernal, H. Coufal, R. K. Grygier, H. Günther, R. M. Macfarlane, and G. T. Sincerbox, Opt. Lett. 22, 1509 (1977).
    [CrossRef]
  2. D. Lande, S. S. Orlov, A. Akella, L. Hesselink, and R. R. Neurgaonkar, Opt. Lett. 22, 1722 (1997).
    [CrossRef]
  3. Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).
  4. A. Andreoni, M. Bondani, Yu. N. Denisyuk, and M. A. C. Potenza, J. Opt. Soc. Am. B 17, 966 (2000).
    [CrossRef]
  5. Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Lett. 25, 890 (2000).
    [CrossRef]
  6. Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).
  7. A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
    [CrossRef]
  8. A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

2000 (2)

1999 (1)

Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).

1998 (1)

A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
[CrossRef]

1997 (1)

1977 (1)

Akella, A.

Andreoni, A.

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Lett. 25, 890 (2000).
[CrossRef]

A. Andreoni, M. Bondani, Yu. N. Denisyuk, and M. A. C. Potenza, J. Opt. Soc. Am. B 17, 966 (2000).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).

A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

Bernal, M.-P.

Bodani, M.

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

Bondani, M.

A. Andreoni, M. Bondani, Yu. N. Denisyuk, and M. A. C. Potenza, J. Opt. Soc. Am. B 17, 966 (2000).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Lett. 25, 890 (2000).
[CrossRef]

A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).

Burr, G. W.

Coufal, H.

Denisyuk, Yu. N.

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Lett. 25, 890 (2000).
[CrossRef]

A. Andreoni, M. Bondani, Yu. N. Denisyuk, and M. A. C. Potenza, J. Opt. Soc. Am. B 17, 966 (2000).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

Grygier, R. K.

Günther, H.

Hesselink, L.

Hoffnagle, J. A.

Jefferson, C. M.

Lande, D.

Macfarlane, R. M.

Neurgaonkar, R. R.

Orlov, S. S.

Potenza, M. A. C.

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Lett. 25, 890 (2000).
[CrossRef]

A. Andreoni, M. Bondani, Yu. N. Denisyuk, and M. A. C. Potenza, J. Opt. Soc. Am. B 17, 966 (2000).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).

A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
[CrossRef]

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

Puddu, E.

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

Shelby, R. M.

Sincerbox, G. T.

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

A. Andreoni, M. Bondani, and M. A. C. Potenza, Opt. Commun. 154, 376 (1998).
[CrossRef]

Opt. Lett. (3)

Opt. Mem. Neural Netw. (1)

Yu. N. Denisyuk, A. Andreoni, and M. A. C. Potenza, Opt. Mem. Neural Netw. 8, 123 (1999).

Other (2)

Yu. N. Denisyuk, A. Andreoni, M. Bondani, and M. A. C. Potenza, “The formation of a holographic image of a diffusing object in the second harmonic light generated by nonlinear material,” Opt. Spectrosc. (Russia) (to be published).

A. Andreoni, M. Bodani, M. A. C. Potenza, Yu. N. Denisyuk, and E. Puddu, “Boolean algebra-operations performed on optical bits by the generation of a holographic field through second-order nonlinear interactions,” submitted to Rev. Sci. Instrum.

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Figures (3)

Fig. 1
Fig. 1

Layout of the experimental setup (see text for details). Lenses L1 and L2 and pinhole P constitute the spatial filter; L3 and L4 are the 10× telescope. BS, beam splitter; F, filter; Z2, Z3, highly reflecting mirrors at 1064 nm. Distances are expressed in millimeters.

Fig. 2
Fig. 2

Masks used to modulate the object and the reference wave fronts (o and r masks, respectively). Actual sizes: 1 mm×1 mm squares separated by 0.4-mm-thick transparent gaps.

Fig. 3
Fig. 3

SHG holograms obtained with input A high and input B either (a) high or (b) low. (c) Expected outputs. To obtain the image in (a) we used the o and r masks (see Fig. 1) of Fig. 2(b).

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