Abstract

A real-time hologram generated in the liquid-crystal layer of a leaky-mirror silicon light valve is read by the same low-intensity beams used to record it. For a particular geometry, one of the diffracted beams propagating away from the device is the optical phase conjugate of one of the original beams, thus permitting correction of path-propagation aberrations. Experimental results show correction of tilt, focusing error, and random phase aberrations.

© 1987 Optical Society of America

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References

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  1. D. M. Pepper, Opt. Eng. 21, 156 (1982).
  2. B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).
  3. J. E. Pearson, S. Hansen, J. Opt. Soc. Am. 67, 305 (1977).
  4. A. D. Fischer, C. Warde, Opt. Lett. 8, 353 (1983).
    [CrossRef]
  5. D. M. Pepper, A. Yariv, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 24–76.
  6. O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
    [CrossRef]
  7. U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
    [CrossRef]
  8. S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).
  9. F. J. Kahn, Appl. Phys. Lett. 20, 199 (1972).
    [CrossRef]
  10. U. Efron, S. T. Wu, T. D. Bates, J. Opt. Soc. Am. B 3, 247 (1986).
    [CrossRef]
  11. U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).
  12. R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

1986 (1)

1985 (2)

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

1983 (2)

A. D. Fischer, C. Warde, Opt. Lett. 8, 353 (1983).
[CrossRef]

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

1982 (1)

D. M. Pepper, Opt. Eng. 21, 156 (1982).

1981 (1)

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

1977 (1)

J. E. Pearson, S. Hansen, J. Opt. Soc. Am. 67, 305 (1977).

1972 (2)

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

F. J. Kahn, Appl. Phys. Lett. 20, 199 (1972).
[CrossRef]

Bates, T. D.

Braatz, P. O.

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Burckhardt, C. B.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Collier, R. J.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Efron, U.

U. Efron, S. T. Wu, T. D. Bates, J. Opt. Soc. Am. B 3, 247 (1986).
[CrossRef]

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Faizullov, F. S.

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

Filipetsky, N. F.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Fischer, A. D.

Garibyan, O. V.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Grinberg, J.

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Hansen, S.

J. E. Pearson, S. Hansen, J. Opt. Soc. Am. 67, 305 (1977).

Hess, L. D.

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

Kahn, F. J.

F. J. Kahn, Appl. Phys. Lett. 20, 199 (1972).
[CrossRef]

Kompanets, I. N.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Lin, L. H.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

Little, M. J.

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Parfyonov, A. F.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Pearson, J. E.

J. E. Pearson, S. Hansen, J. Opt. Soc. Am. 67, 305 (1977).

Pepper, D. M.

D. M. Pepper, Opt. Eng. 21, 156 (1982).

D. M. Pepper, A. Yariv, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 24–76.

Popovichev, V. I.

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

Ragulskii, V. V.

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

Reif, P. G.

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

Schwartz, R. N.

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Shkunov, V. V.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Sudarkin, A. N.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Sukhov, A. V.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Tabiryan, N. V.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Vasilev, A. A.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Warde, C.

Welkowsky, M. S.

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

Wu, S. T.

U. Efron, S. T. Wu, T. D. Bates, J. Opt. Soc. Am. B 3, 247 (1986).
[CrossRef]

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

Yariv, A.

D. M. Pepper, A. Yariv, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 24–76.

Zel'dovich, B. Ya.

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

Appl. Phys. Lett. (1)

F. J. Kahn, Appl. Phys. Lett. 20, 199 (1972).
[CrossRef]

J. Appl. Phys. (1)

U. Efron, J. Grinberg, P. O. Braatz, M. J. Little, P. G. Reif, R. N. Schwartz, J. Appl. Phys. 57, 1356 (1985).
[CrossRef]

J. Opt. Soc. Am. (1)

J. E. Pearson, S. Hansen, J. Opt. Soc. Am. 67, 305 (1977).

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

Opt. Commun. (1)

O. V. Garibyan, I. N. Kompanets, A. F. Parfyonov, N. F. Filipetsky, V. V. Shkunov, A. N. Sudarkin, A. V. Sukhov, N. V. Tabiryan, A. A. Vasilev, B. Ya. Zel'dovich, Opt. Commun. 38, 67 (1981).
[CrossRef]

Opt. Eng. (2)

D. M. Pepper, Opt. Eng. 21, 156 (1982).

U. Efron, P. O. Braatz, M. J. Little, R. N. Schwartz, J. Grinberg, Opt. Eng. 22, 682 (1983).

Opt. Lett. (1)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

S. T. Wu, U. Efron, J. Grinberg, L. D. Hess, M. S. Welkowsky, Proc. Soc. Photo-Opt. Instrum. Eng., 572, 94 (1985).

Sov. Phys. JETP (1)

B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragulskii, F. S. Faizullov, Sov. Phys. JETP 15, 109 (1972).

Other (2)

D. M. Pepper, A. Yariv, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 24–76.

R. J. Collier, C. B. Burckhardt, L. H. Lin, Optical Holography (Academic, New York, 1971).

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Figures (6)

Fig. 1
Fig. 1

Basic holographic recording arrangement.

Fig. 2
Fig. 2

Transmission holographic readout addressed by the same beams used to form it.

Fig. 3
Fig. 3

Folded transmission holographic readout. Note that one beam (R) is normal to the recording medium.

Fig. 4
Fig. 4

Schematic arrangement of phase-conjugate LCLV experiment.

Fig. 5
Fig. 5

Experimental results (photographed from the TV monitor). (a) Phase-conjugated return; no aberration along the optical beam. (b) Phase-conjugated return, aberrator with Strehl ratio S = 0.17 placed in the signal beam. (c) Conventional mirror return; no aberration in the beam. (d) Conventional mirror return; aberrator with S = 0.17 in the signal beam.

Fig. 6
Fig. 6

Same as Figure 5 but with increased aberration in the signal beam. (a) Phase-conjugated return with aberrator S = 0.1. (b) Phase-conjugated return with aberrator S < 0.1. (c) Mirror return with S = 0.1. (d) Mirror return with S < 0.1.

Equations (8)

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

T = α | R + S | 2 = α ( | R | 2 + | S | 2 + R S * + R * S ) .
α ( R + S ) | R + S | 2 = α R ( | R | 2 + 2 | S | 2 ) + α S 2 R * + α S ( 2 | R | 2 + | S | 2 ) + α R 2 S * .
I ( X ) = | E | 2 = E R 02 + E S 02 + 2 E R 0 E S 0 cos [ α X + ψ ( X ) ] ,
MTF ( f ) = exp [ ( f / f 0 ) 2 ] ,
f c = [ ( 1 f 0 ) 2 + ( 1 f m ) 2 ] 1 / 2 = 14.6 lines / mm .
exp [ ( f / f c ) 2 ] = exp [ ( 22 / 14.6 ) 2 ] = 0.10 .
δ = ( 0.1 ) π / 2 = 0.16 rad .
J 1 2 ( δ ) = J 1 2 ( 0.16 ) 0.0064 0.6 % .

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