Abstract

We propose a hybrid multiplexing method for volume holographic correlators based on the combination of orthogonal random phase modulation of an object beam and two-dimensional angular multiplexing of a reference beam. This method implements storing multiple groups of library images in a single storage location and outputting multiple groups of correlation spots by switching the modulation phase masks. Three experiments are designed to test the validity of this method.

© 2008 Optical Society of America

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References

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  1. G. W. Burr, S. Kobras, H. Hanssen, and H. Coufal, Appl. Opt. 38, 6779 (1999).
    [CrossRef]
  2. X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.
  3. G. W. Burr, Proc. SPIE 5181, 70 (2003).
    [CrossRef]
  4. A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
    [CrossRef]
  5. A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
    [CrossRef]
  6. G. W. Burr, F. H. Mok, and D. Psaltis, Proc. SPIE 2297, 402 (1994).
    [CrossRef]
  7. D. Psaltis, D. Brady, and K. Wagner, Appl. Opt. 27, 1752 (1988).
    [CrossRef]
  8. C. Ouyang, L. C. Cao, Q. S. He, Y. Liao, M. X. Wu, and G. F. Jin, Opt. Lett. 28, 1972 (2003).
    [CrossRef] [PubMed]
  9. K. Ni, Z. Y. Qu, L. C. Cao, P. Su, Q. S. He, and G. F. Jin, Opt. Lett. 32, 2972 (2007).
    [CrossRef] [PubMed]
  10. Q. S. He, G. D. Liu, X. C. Li, J. G. Wang, M. X. Wu, and G. F. Jin, Appl. Opt. 41, 4104 (2002).
    [CrossRef] [PubMed]
  11. J. W. Goodman, Statistical Optics (Wiley, 1985).

2007 (1)

2006 (1)

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

2003 (2)

2002 (1)

2000 (1)

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

1999 (1)

1997 (1)

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

1994 (1)

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

1988 (1)

1985 (1)

J. W. Goodman, Statistical Optics (Wiley, 1985).

Brady, D.

Burr, G. W.

G. W. Burr, Proc. SPIE 5181, 70 (2003).
[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]

Cao, L. C.

Coufal, H.

Denkewalter, R.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Dimov, F.

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, 1985).

Hanssen, H.

He, Q. S.

Heifetz, A.

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

Hesselink, L.

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

Jin, G. F.

Kobras, S.

Lee, J. K.

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

Li, X. C.

Q. S. He, G. D. Liu, X. C. Li, J. G. Wang, M. X. Wu, and G. F. Jin, Appl. Opt. 41, 4104 (2002).
[CrossRef] [PubMed]

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

Liao, Y.

Liu, G. D.

McLeod, R.

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

Mok, F. H.

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

Ni, K.

Ouyang, C.

Phillips, W.

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

Psaltis, D.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

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

D. Psaltis, D. Brady, and K. Wagner, Appl. Opt. 27, 1752 (1988).
[CrossRef]

Pu, A.

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Qu, Z. Y.

Shahriar, M. S.

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

Shen, J. T.

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

Su, P.

Tripathi, R.

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

Wagner, K.

Wang, J. G.

Wu, M. X.

Appl. Opt. (3)

Opt. Eng. (2)

A. Heifetz, J. T. Shen, J. K. Lee, R. Tripathi, and M. S. Shahriar, Opt. Eng. 45, 025201 (2006).
[CrossRef]

A. Pu, R. Denkewalter, and D. Psaltis, Opt. Eng. 36, 2737 (1997).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (2)

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

G. W. Burr, Proc. SPIE 5181, 70 (2003).
[CrossRef]

Other (2)

X. C. Li, F. Dimov, W. Phillips, L. Hesselink, and R. McLeod, in 29th Applied Imagery and Pattern Recognition Workshop (AIPR2000), J.Aanstoos, ed. (IEEE, 2000), pp. 78-83.

J. W. Goodman, Statistical Optics (Wiley, 1985).

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of (a) storing and (b) accessing multiple groups of library images in a VHC.

Fig. 2
Fig. 2

Experimental setup: PBS, polarizing beam splitter; S, shutter; L 1 L 4 , lenses; M, mirror; λ 2 , half-wave plate.

Fig. 3
Fig. 3

Measured brightness of the correlation spot versus the shift distance of the RPP in Experiment 1.

Fig. 4
Fig. 4

Detected correlation spots in Experiment 2 with the input of (a), (c), (e) the original image M and (b), (d), (f) the complementary image M c .

Fig. 5
Fig. 5

Detected correlation spots for each group in Experiment 3. Areas in the black circles are magnified to clearly show the correlation spots.

Equations (1)

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d x d y f ( x , y ) exp [ j φ i ( x , y ) ] g * ( x , y ) exp [ j φ k ( x , y ) ] = { f ( x , y ) g * ( x , y ) d x d y ( k = i ) 0 ( k i ) .

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