Abstract

We describe a method for increasing the diffraction efficiency of multiply exposed photorefractive holograms by periodic copying. The method is experimentally demonstrated with photorefractive and thermoplastic recording media.

© 1990 Optical Society of America

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References

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  1. D. Psaltis, D. Brady, K. Wagner, Appl. Opt. 27, 1752 (1988).
    [CrossRef]
  2. K. Bløtekjaer, Appl. Opt. 18, 57 (1979).
    [CrossRef] [PubMed]
  3. W. J. Burke, P. Sheng, J. Appl. Phys. 48, 681 (1977).
    [CrossRef]
  4. J. C. Palais, J. A. Wise, Appl. Opt. 10, 667 (1971).
    [CrossRef] [PubMed]
  5. K. M. Johnson, M. Armstrong, L. Hesselink, J. W. Goodman, Appl. Opt. 24, 4467 (1985).
    [CrossRef] [PubMed]
  6. D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).
  7. H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
    [CrossRef]
  8. N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
    [CrossRef]
  9. T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
    [CrossRef]
  10. E. Wolf, Opt. Commun. 1, 153 (1969).
    [CrossRef]
  11. S. Hudson, D. J. Brady, D. Psaltis, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), p. 74.

1989 (1)

H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
[CrossRef]

1988 (1)

1985 (2)

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

K. M. Johnson, M. Armstrong, L. Hesselink, J. W. Goodman, Appl. Opt. 24, 4467 (1985).
[CrossRef] [PubMed]

1979 (2)

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

K. Bløtekjaer, Appl. Opt. 18, 57 (1979).
[CrossRef] [PubMed]

1977 (1)

W. J. Burke, P. Sheng, J. Appl. Phys. 48, 681 (1977).
[CrossRef]

1971 (1)

1969 (1)

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Armstrong, M.

Bløtekjaer, K.

Brady, D.

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

D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).

Brady, D. J.

S. Hudson, D. J. Brady, D. Psaltis, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), p. 74.

Burke, W. J.

W. J. Burke, P. Sheng, J. Appl. Phys. 48, 681 (1977).
[CrossRef]

Connors, L. M.

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

Foote, P. D.

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

Goodman, J. W.

Gu, X. G.

H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
[CrossRef]

Gu, X.-G.

D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).

Hall, T. J.

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

Hesselink, L.

Hsu, K.

D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).

Hudson, S.

S. Hudson, D. J. Brady, D. Psaltis, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), p. 74.

Jaura, R.

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

Johnson, K. M.

Kuktarev, N. V.

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Lee, H.

H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
[CrossRef]

Markov, V. B.

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Odulov, S. G.

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Palais, J. C.

Psaltis, D.

H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
[CrossRef]

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

D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).

S. Hudson, D. J. Brady, D. Psaltis, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), p. 74.

Sheng, P.

W. J. Burke, P. Sheng, J. Appl. Phys. 48, 681 (1977).
[CrossRef]

Soskin, M. S.

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Vinetskii, V. L.

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

Wagner, K.

Wise, J. A.

Wolf, E.

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Appl. Opt. (4)

Ferroelectrics (1)

N. V. Kuktarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
[CrossRef]

J. Appl. Phys. (2)

W. J. Burke, P. Sheng, J. Appl. Phys. 48, 681 (1977).
[CrossRef]

H. Lee, X. G. Gu, D. Psaltis, J. Appl. Phys. 65, 2191 (1989).
[CrossRef]

Opt. Commun. (1)

E. Wolf, Opt. Commun. 1, 153 (1969).
[CrossRef]

Prog. Quantum Electron. (1)

T. J. Hall, R. Jaura, L. M. Connors, P. D. Foote, Prog. Quantum Electron. 10, 77 (1985).
[CrossRef]

Other (2)

D. Psaltis, D. Brady, X.-G. Gu, K. Hsu, in Optical Processing and Computing, H. Arsenault, ed. (Academic, Orlando, Fla., 1989).

S. Hudson, D. J. Brady, D. Psaltis, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1988), p. 74.

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Figures (2)

Fig. 1
Fig. 1

Experimental system.

Fig. 2
Fig. 2

Relative diffraction efficiency of each hologram versus number of exposures (log–log scale).

Equations (5)

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A m = A 0 [ 1 exp ( α It m ) ] exp ( m = m + 1 M α It m ) ,
Φ ( r ) = m A m f m ( r ) ,
t m = ( α I ) 1 ln [ 1 + ( m 1 ) χ 1 + ( m 2 ) χ ] ,
Φ ( r ) = l = 1 j 1 m = 1 M l A m ( l ) f m ( l ) ( r ) = A 0 ( l = 1 j 1 M l ) 1 / 2 l = 1 j 1 m = 1 M l f m ( l ) ( r ) .
A 0 [ 1 exp ( t j 1 α I ) ] = A 0 ( l = 1 j 1 M l ) 1 / 2 exp ( t j 1 α I ) .

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