Abstract

Processing of two-dimensional images on a nanosecond time scale is demonstrated using the stimulated photon echoes in a rare-earth-doped crystal (0.1 at. % Pr3+:LaF3). Two spatially encoded laser pulses (pictures) resonant with the 3P03H4 transition of Pr3+ were stored by focusing the image pulses sequentially into the Pr3+:LaF3 crystal. The stored information is retrieved and processed by a third read pulse, generating the echo that is the spatial convolution or correlation of the input images. Application of this scheme to high-speed pattern recognition is discussed.

© 1990 Optical Society of America

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References

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1989 (4)

1988 (1)

W. R. Babbitt, T. W. Mossberg, Opt. Commun. 65, 185 (1988).
[CrossRef]

1987 (3)

1986 (2)

1985 (2)

1984 (2)

D. Psaltis, E. G. Paek, S. S. Verkatsh, Opt. Eng. 23, 698 (1984).

Y. S. Bai, W. R. Babbitt, N. W. Carlson, T. W. Mossberg, Appl. Phys. Lett. 45, 1714 (1984).

1983 (2)

1982 (1)

1980 (2)

J. O. White, A. Yariv, Appl. Phys. Lett. 1, 37 (1980).

S. G. Odulov, M. S. Soskin, Sov. Phys. Dokl. 25, 5 (1980).

1978 (1)

D. M. Pepper, J. Au Yeung, D. Fekete, A. Yariv, Opt. Lett. 3, (1978).
[PubMed]

1974 (1)

S. H. Lee, Opt. Eng. 13, 196 (1974).

1964 (1)

A. B. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 2 (1964).

Au Yeung, J.

D. M. Pepper, J. Au Yeung, D. Fekete, A. Yariv, Opt. Lett. 3, (1978).
[PubMed]

Babbitt, W. R

Babbitt, W. R.

W. R. Babbitt, A. Lezama, T. W. Mossberg, Phys. Rev. B 39, 1987 (1989).
[CrossRef]

W. R. Babbitt, T. W. Mossberg, Opt. Commun. 65, 185 (1988).
[CrossRef]

Y. S. Bai, W. R. Babbitt, T. W. Mossberg, Opt. Lett. 11, 724(1986).
[CrossRef] [PubMed]

N. W. Carlson, W. R. Babbitt, Y. S. Bai, T. W. Mossberg, J. Opt. Soc. Am. B 2, 908 (1985).
[CrossRef]

Y. S. Bai, W. R. Babbitt, N. W. Carlson, T. W. Mossberg, Appl. Phys. Lett. 45, 1714 (1984).

N. W. Carlson, L. J. Rothberg, A. G. Yodh, W. R. Babbitt, T. W. Mossberg, Opt. Lett. 8, 483 (1983).
[CrossRef] [PubMed]

Bai, Y. S.

Carlson, N. W.

Fekete, D.

D. M. Pepper, J. Au Yeung, D. Fekete, A. Yariv, Opt. Lett. 3, (1978).
[PubMed]

Horner, J. L.

Kaarli, R.

Kachru, R.

Kim, M. K.

Lee, L.-S.

Lee, S. H.

S. H. Lee, Opt. Eng. 13, 196 (1974).

Leger, J. R.

Lezama, A.

W. R. Babbitt, A. Lezama, T. W. Mossberg, Phys. Rev. B 39, 1987 (1989).
[CrossRef]

Mossberg, T. W.

Odulov, S. G.

S. G. Odulov, M. S. Soskin, Sov. Phys. Dokl. 25, 5 (1980).

Paek, E. G.

E. G. Paek, D. Psaltis, Opt. Eng. 26, 428 (1987).

D. Psaltis, E. G. Paek, S. S. Verkatsh, Opt. Eng. 23, 698 (1984).

Pepper, D. M.

D. M. Pepper, J. Au Yeung, D. Fekete, A. Yariv, Opt. Lett. 3, (1978).
[PubMed]

Psaltis, D.

E. G. Paek, D. Psaltis, Opt. Eng. 26, 428 (1987).

D. Psaltis, E. G. Paek, S. S. Verkatsh, Opt. Eng. 23, 698 (1984).

Rebane, A.

Rothberg, L. J.

Saari, P.

Soskin, M. S.

S. G. Odulov, M. S. Soskin, Sov. Phys. Dokl. 25, 5 (1980).

Stoll, H. M.

Tackitt, M. C.

Vander Lugt, A. B.

A. B. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 2 (1964).

Verkatsh, S. S.

D. Psaltis, E. G. Paek, S. S. Verkatsh, Opt. Eng. 23, 698 (1984).

White, J. O.

J. O. White, A. Yariv, Appl. Phys. Lett. 1, 37 (1980).

Yariv, A.

J. O. White, A. Yariv, Appl. Phys. Lett. 1, 37 (1980).

D. M. Pepper, J. Au Yeung, D. Fekete, A. Yariv, Opt. Lett. 3, (1978).
[PubMed]

Yodh, A. G.

Appl. Opt. (2)

Appl. Phys. Lett. (2)

J. O. White, A. Yariv, Appl. Phys. Lett. 1, 37 (1980).

Y. S. Bai, W. R. Babbitt, N. W. Carlson, T. W. Mossberg, Appl. Phys. Lett. 45, 1714 (1984).

IEEE Trans. Inf. Theory (1)

A. B. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 2 (1964).

J. Opt. Soc. Am. B (3)

Opt. Commun. (1)

W. R. Babbitt, T. W. Mossberg, Opt. Commun. 65, 185 (1988).
[CrossRef]

Opt. Eng. (3)

E. G. Paek, D. Psaltis, Opt. Eng. 26, 428 (1987).

D. Psaltis, E. G. Paek, S. S. Verkatsh, Opt. Eng. 23, 698 (1984).

S. H. Lee, Opt. Eng. 13, 196 (1974).

Opt. Lett. (8)

Phys. Rev. B (1)

W. R. Babbitt, A. Lezama, T. W. Mossberg, Phys. Rev. B 39, 1987 (1989).
[CrossRef]

Sov. Phys. Dokl. (1)

S. G. Odulov, M. S. Soskin, Sov. Phys. Dokl. 25, 5 (1980).

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Figures (2)

Fig. 1
Fig. 1

Schematic of the experimental apparatus for the optical image processor. OD, optical delay line; C, camera.

Fig. 2
Fig. 2

Photographs of input and output images. (a) Image reproduction, (b) image convolution, and (c)–(e) image correlations.

Equations (3)

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E i ( r , t ) = u i ( x , y ) exp [ i ( k i · r ω 0 t ) ] + c . c . ( i = 1 , 2 , 3 ) ,
P u ˜ 1 u ˜ 2 u ˜ 3 exp [ i ( k 1 + k 2 + k 3 ) · r ] ,
E e u 3 ( x , y ) u 2 ( x , y ) u 1 ( x , y ) exp ( i k 1 z ) ,

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