Abstract

By use of speckle modulation on the object beam of a volume holographic optical correlation system, we show that the sidelobes of the correlation patterns along the vertical direction, as well as those along the horizontal direction, are well suppressed. A theoretical explanation and experimental results are presented and discussed.

© 2003 Optical Society of America

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References

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  1. D. Psaltis and F. Mok, Sci. Am. 273, 70 (1995).
    [CrossRef]
  2. B. J. Goertzen and P. A. Mitkas, Opt. Eng. 35, 1847 (1995).
    [CrossRef]
  3. P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
    [CrossRef]
  4. G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
    [CrossRef]
  5. G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
    [CrossRef]
  6. C. Gu, H. Fu, and J. Lien, J. Opt. Soc. Am. A 12, 861 (1995).
    [CrossRef]
  7. W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
    [CrossRef]
  8. V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
    [CrossRef]
  9. B. Javidi and J. L. Horner, Opt. Eng. 33, 1752 (1994).
    [CrossRef]
  10. F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
    [CrossRef]
  11. J. Goodman, in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), pp. 9–76.

2000 (2)

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

1999 (1)

1998 (1)

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

1995 (4)

C. Gu, H. Fu, and J. Lien, J. Opt. Soc. Am. A 12, 861 (1995).
[CrossRef]

V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
[CrossRef]

D. Psaltis and F. Mok, Sci. Am. 273, 70 (1995).
[CrossRef]

B. J. Goertzen and P. A. Mitkas, Opt. Eng. 35, 1847 (1995).
[CrossRef]

1994 (2)

G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
[CrossRef]

B. Javidi and J. L. Horner, Opt. Eng. 33, 1752 (1994).
[CrossRef]

Betzos, G. A.

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

Burr, G. W.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
[CrossRef]

G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
[CrossRef]

Coufal, H.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
[CrossRef]

Feng, W.

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

Fitio, V. M.

V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
[CrossRef]

Fu, H.

Goertzen, B. J.

B. J. Goertzen and P. A. Mitkas, Opt. Eng. 35, 1847 (1995).
[CrossRef]

Goodman, J.

J. Goodman, in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), pp. 9–76.

Grawert, F.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

Gu, C.

Hanssen, H.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
[CrossRef]

He, Q.

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

Horner, J. L.

B. Javidi and J. L. Horner, Opt. Eng. 33, 1752 (1994).
[CrossRef]

Javidi, B.

B. Javidi and J. L. Horner, Opt. Eng. 33, 1752 (1994).
[CrossRef]

Jefferson, C. M.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

Jin, G.

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

Jurich, M.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

Kobras, S.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
[CrossRef]

Lien, J.

Mailis, S.

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

Mitkas, P. A.

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

B. J. Goertzen and P. A. Mitkas, Opt. Eng. 35, 1847 (1995).
[CrossRef]

Mok, F.

D. Psaltis and F. Mok, Sci. Am. 273, 70 (1995).
[CrossRef]

Mok, F. H.

G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
[CrossRef]

Muravsky, L. I.

V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
[CrossRef]

Psaltis, D.

D. Psaltis and F. Mok, Sci. Am. 273, 70 (1995).
[CrossRef]

G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
[CrossRef]

Riedel, M.

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

Stefansky, A. I.

V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
[CrossRef]

Vainos, A.

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

Wu, M.

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

Yan, Y.

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

Appl. Opt. (1)

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

Opt. Eng. (3)

B. J. Goertzen and P. A. Mitkas, Opt. Eng. 35, 1847 (1995).
[CrossRef]

W. Feng, Y. Yan, G. Jin, M. Wu, and Q. He, Opt. Eng. 39, 2444 (2000).
[CrossRef]

B. Javidi and J. L. Horner, Opt. Eng. 33, 1752 (1994).
[CrossRef]

Proc. SPIE (4)

F. Grawert, S. Kobras, G. W. Burr, H. Coufal, H. Hanssen, M. Riedel, C. M. Jefferson, and M. Jurich, Proc. SPIE 4109, 177 (2000).
[CrossRef]

G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
[CrossRef]

V. M. Fitio, L. I. Muravsky, and A. I. Stefansky, Proc. SPIE 2647, 224 (1995).
[CrossRef]

P. A. Mitkas, G. A. Betzos, S. Mailis, and A. Vainos, Proc. SPIE 3388, 198 (1998).
[CrossRef]

Sci. Am. (1)

D. Psaltis and F. Mok, Sci. Am. 273, 70 (1995).
[CrossRef]

Other (1)

J. Goodman, in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), pp. 9–76.

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Figures (5)

Fig. 1
Fig. 1

Experimental setup for the volume holographic storage and correlation system on which speckle modulation is used. PBS, polarizing beam splitter; SLM, spatial light modulator; S, shutter; LN, lithium niobate crystal; L1, L2, lenses; M, mirror; λ/2, half-wave plate.

Fig. 2
Fig. 2

(a) Object pattern. (b) Autocorrelation pattern without speckle modulation. (c) Corresponding results with speckle modulation.

Fig. 3
Fig. 3

Correlation spot array read out by a white image (all the pixels of the SLM are set on) (a) without speckle modulation and (b) with speckle modulation.

Fig. 4
Fig. 4

Experimental results for the correlation of the tenth page as the input pattern (a) without speckle modulation and (b) with speckle modulation.

Fig. 5
Fig. 5

Corresponding output profile of Fig. 4 after digital processing.

Equations (3)

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

gxc,yc m=-MMdx0dy0fx0,y0fm*x0+ξ,y0+η×t sinct2πkmz-kdz+πλξ2x0+ξ+η2y0+ηf2,
gxc,ycm=-MMdx0dy0fx0,y0×fm*x0+ξ,y0+ηδξ,ηt sinct2πkmz-kdzπλξ2x0+ξ+η2y0+ηf2.
g-xm,-ymtdx0dy0fx0,y0fm*x0,y0.

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