Abstract

A real-time holographic technique employing an optically addressed spatial light modulator was used to correct an incoherently illuminated image that had made a single pass through an aberrator. Aberrations that change slowly compared with the integration time of the spatial light modulator are fully corrected.

© 1991 Optical Society of America

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References

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  1. A. Yariv, T. L. Koch, “One-way coherent imaging through a distorting medium using four-wave mixing,” Opt. Lett. 7, 113–115 (1982).
    [CrossRef] [PubMed]
  2. K. R. MacDonald, W. R. Tompkin, R. W. Boyd, “Passive one-way aberration correction using four-wave mixing,” Opt. Lett. 13, 485–487 (1988).
    [CrossRef] [PubMed]
  3. V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
    [CrossRef]
  4. B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
    [CrossRef]
  5. A. Yariv, “Three-dimensional pictorial transmission in optical fibers,” Appl. Phys. Lett. 28, 88–89 (1976).
    [CrossRef]
  6. O. Ikeda, T. Suzuki, T. Sato, “Image transmission through a turbulent medium using a point reflector and four-wave mixing in BSO crystal,” Appl. Opt. 22, 2192–2195 (1983).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  8. T. G. Alley, M. A. Kramer, D. R. Martinez, L. P. Schelonka, “Single-pass imaging through a thick dynamic distortor using four-wave mixing,” Opt. Lett. 15, 81–83 (1990).
    [CrossRef] [PubMed]
  9. M. A. Kramer, T. G. Alley, D. R. Martinez, L. P. Schelonka, “Effects of thick aberrators on one-way imaging schemes,” Appl. Opt. 29, 2576–2581 (1990).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  13. J. Upatnieks, A. Vander Lugt, E. Leith, “Correction of lens aberrations by means of holograms,” Appl. Opt. 5, 589–593 (1966).
    [CrossRef] [PubMed]
  14. J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
    [CrossRef]
  15. H. Kogelnik, K. S. Pennington, “Holographic imaging through a random medium,” J. Opt. Soc. Am. 58, 273–274 (1968).
    [CrossRef]
  16. J. D. Gaskill, “Imaging through a randomly inhomogeneous medium by wavefront reconstruction,” J. Opt. Soc. Am. 58, 600–608 (1968).
    [CrossRef]
  17. 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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
    [CrossRef]
  18. E. Marom, U. Efron, “Phase conjugation of low-poweroptical beams using liquid-crystal light valves,” Opt. Lett. 12, 504–506 (1987).
    [CrossRef] [PubMed]
  19. K. M. Johnson, C. C. Mao, G. Moddel, M. A. Handschy, K. Arnett, “High-speed, low-power optical phase conjugation using a hybrid amorphous silicon/ferroelectric-liquid-crystal device,” Opt. Lett. 15, 1114–1116 (1990).
    [CrossRef] [PubMed]
  20. A. Cunha, E. Leith, “Generalized one-way phase-conjugation systems,” J. Opt. Soc. Am. B 6, 1803–1812 (1989).
    [CrossRef]
  21. S. G. Latham, M. P. Owen, “A silicon liquid-crystal spatial light modulator,” GEC J. Res. 4, 219–222 (1986).

1990 (3)

1989 (1)

1988 (1)

1987 (1)

1986 (1)

S. G. Latham, M. P. Owen, “A silicon liquid-crystal spatial light modulator,” GEC J. Res. 4, 219–222 (1986).

1983 (2)

1982 (2)

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

A. Yariv, T. L. Koch, “One-way coherent imaging through a distorting medium using four-wave mixing,” Opt. Lett. 7, 113–115 (1982).
[CrossRef] [PubMed]

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

1980 (1)

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

1976 (1)

A. Yariv, “Three-dimensional pictorial transmission in optical fibers,” Appl. Phys. Lett. 28, 88–89 (1976).
[CrossRef]

1969 (1)

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
[CrossRef]

1968 (2)

1966 (3)

1965 (1)

H. Kogelnik, “Holographic image projection through inhomogeneous media,” Bell Syst. Tech. J. 44, 2451–2455 (1965).

Alley, T. G.

Arnett, K.

Boyd, R. W.

Cronin-Golomb, M.

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

Cunha, A.

Efron, U.

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Fischer, B.

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Gaskill, J. D.

Goodman, J. W.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
[CrossRef]

J. W. Goodman, W. A. Huntley, D. W. Jackson, M. Lehman, “Wavefront-reconstruction imaging through random media,” Appl. Phys. Lett. 8, 311–313 (1966).
[CrossRef]

Handschy, M. A.

Huntley, W. A.

J. W. Goodman, W. A. Huntley, D. W. Jackson, M. Lehman, “Wavefront-reconstruction imaging through random media,” Appl. Phys. Lett. 8, 311–313 (1966).
[CrossRef]

Ikeda, O.

Ivakhnik, V. V.

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

Jackson, D. W.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
[CrossRef]

J. W. Goodman, W. A. Huntley, D. W. Jackson, M. Lehman, “Wavefront-reconstruction imaging through random media,” Appl. Phys. Lett. 8, 311–313 (1966).
[CrossRef]

Johnson, K. M.

Kharchenko, M. A.

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

Knotts, J.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
[CrossRef]

Koch, T. L.

Kogelnik, H.

H. Kogelnik, K. S. Pennington, “Holographic imaging through a random medium,” J. Opt. Soc. Am. 58, 273–274 (1968).
[CrossRef]

H. Kogelnik, “Holographic image projection through inhomogeneous media,” Bell Syst. Tech. J. 44, 2451–2455 (1965).

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Kramer, M. A.

Latham, S. G.

S. G. Latham, M. P. Owen, “A silicon liquid-crystal spatial light modulator,” GEC J. Res. 4, 219–222 (1986).

Lehman, M.

J. W. Goodman, W. A. Huntley, D. W. Jackson, M. Lehman, “Wavefront-reconstruction imaging through random media,” Appl. Phys. Lett. 8, 311–313 (1966).
[CrossRef]

Lehmann, M.

J. W. Goodman, D. W. Jackson, M. Lehmann, J. Knotts, “Experiments in long distance holographic imagery,” Appl. Opt. 8, 1481–1586 (1969).
[CrossRef]

Leith, E.

Leith, E. N.

MacDonald, K. R.

Mao, C. C.

Marom, E.

Martinez, D. R.

Moddel, G.

Owen, M. P.

S. G. Latham, M. P. Owen, “A silicon liquid-crystal spatial light modulator,” GEC J. Res. 4, 219–222 (1986).

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Pennington, K. S.

Petnikova, V. M.

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

Sato, T.

Schelonka, L. P.

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Shuvalov, V. S.

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

Solomatin, V. S.

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Suzuki, T.

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Takehara, M.

Tompkin, W. R.

Upatnieks, J.

Vander Lugt, A.

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

White, J. O.

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

Yariv, A.

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

A. Yariv, T. L. Koch, “One-way coherent imaging through a distorting medium using four-wave mixing,” Opt. Lett. 7, 113–115 (1982).
[CrossRef] [PubMed]

A. Yariv, “Three-dimensional pictorial transmission in optical fibers,” Appl. Phys. Lett. 28, 88–89 (1976).
[CrossRef]

Zel’dovich, B. Y.

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Appl. Opt. (5)

Appl. Phys. Lett. (3)

J. W. Goodman, W. A. Huntley, D. W. Jackson, M. Lehman, “Wavefront-reconstruction imaging through random media,” Appl. Phys. Lett. 8, 311–313 (1966).
[CrossRef]

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Real-time phase conjugate window for one-way optical field imaging through a distortion,” Appl. Phys. Lett. 41, 141–143 (1982).
[CrossRef]

A. Yariv, “Three-dimensional pictorial transmission in optical fibers,” Appl. Phys. Lett. 28, 88–89 (1976).
[CrossRef]

Bell Syst. Tech. J. (1)

H. Kogelnik, “Holographic image projection through inhomogeneous media,” Bell Syst. Tech. J. 44, 2451–2455 (1965).

GEC J. Res. (1)

S. G. Latham, M. P. Owen, “A silicon liquid-crystal spatial light modulator,” GEC J. Res. 4, 219–222 (1986).

J. Opt. Soc. Am. (3)

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. Y. Zel’dovich, “Optical phase conjugation by microwatt power of reference waves via liquid crystal light valve,” Opt. Commun. 38, 67–70 (1981).
[CrossRef]

Opt. Lett. (5)

Sov. J. Quantum Electron. (1)

V. V. Ivakhnik, V. M. Petnikova, V. S. Solomatin, M. A. Kharchenko, V. S. Shuvalov, “Single-pass compensation of phase distortions,” Sov. J. Quantum Electron. 10, 514–515 (1980).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Photographs of the image reconstruction. Shown are the images of (a) the corrected order, (b) the specular reflection, (c) the doubly aberrated order before the introduction of the aberrator (left side) and after introduction of the aberrator (right side).

Fig. 3
Fig. 3

Correction of distortion by the one-way imaging scheme. The local displacement of the conventional image, caused by the tilt induced by the aberrator, is plotted against the local displacement of the diffracted orders. The corrected order has a residual aberration of one sixth of the aberration present on the conventional image.

Fig. 4
Fig. 4

Diffraction efficiency plotted as a function of the write intensity.

Fig. 5
Fig. 5

Diffraction efficiency plotted as a function of the read intensity.

Fig. 6
Fig. 6

Diffraction efficiency plotted as a function of the angular separation of the write beams. The write-beam intensity was 0.3 mW/cm2 and the read-beam intensity was 2.25 mW/cm2.

Equations (3)

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E 4 E 1 ( E 2 * E 3 + E 2 E 3 * ) .
E 4 E 1 exp ( i ϕ ) [ exp ( - i ϕ ) + exp ( i ϕ ) ]
δ θ = - ( λ r / λ w - 1 ) δ θ ,

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