Abstract

We have observed spatial-image storage and phase conjugation, using a backward-stimulated echo in a solid sample. The image storage and the delayed phase conjugation were observed to last for at least 15 sec, which is 3 × 105 times longer than the radiative lifetime of the excited state. The backward-stimulated echo produced on the 3H43P0 transition of Pr3+:LaF3 is found to be a phase-conjugated spatial reproduction of the first excitation pulse. The image storage time depends strongly on the sample temperature.

© 1987 Optical Society of America

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  1. R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
    [Crossref]
  2. T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
    [Crossref]
  3. J. B. W. Morsink and D. A. Wiersma, Chem. Phys. Lett. 65, 105 (1979).
    [Crossref]
  4. T. W. Mossberg, Opt. Lett. 7, 77 (1982).
    [Crossref] [PubMed]
  5. M. D. Levenson, IBM Tech. Discl. Bull. 24, 2797 (1981).
  6. N. S. Shiren, Appl. Phys. Lett. 33, 299 (1978).
    [Crossref]
  7. M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
    [Crossref]
  8. T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
    [Crossref]
  9. For a review of the phase-conjugate properties of optical echoes, see John C. AuYeung, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 285–305.
    [Crossref]
  10. N. W. Carlson, W. R. Babbitt, and T. W. Mossberg, Opt. Lett. 8, 623 (1983).
    [Crossref] [PubMed]
  11. P. Saari, R. Kaarli, and A. Rebane, J. Opt. Soc. Am. B 3, 527 (1986); A. Rebane, R. Kaarli, P. Saari, A. Anijag, and K. Timpmann, Opt. Commun. 47, 173 (1983).
    [Crossref]
  12. T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
    [Crossref]
  13. J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
    [Crossref]
  14. Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
    [Crossref]
  15. L. E. Erickson, Opt. Commun. 21, 147 (1977).
    [Crossref]
  16. R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
    [Crossref]
  17. M. J. Weber, J. Chem. Phys. 48, 4774 (1968).
    [Crossref]
  18. R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
    [Crossref]

1986 (1)

1983 (2)

T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
[Crossref]

N. W. Carlson, W. R. Babbitt, and T. W. Mossberg, Opt. Lett. 8, 623 (1983).
[Crossref] [PubMed]

1982 (1)

1981 (1)

M. D. Levenson, IBM Tech. Discl. Bull. 24, 2797 (1981).

1980 (1)

R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
[Crossref]

1979 (7)

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
[Crossref]

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

J. B. W. Morsink and D. A. Wiersma, Chem. Phys. Lett. 65, 105 (1979).
[Crossref]

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
[Crossref]

Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
[Crossref]

1978 (2)

N. S. Shiren, Appl. Phys. Lett. 33, 299 (1978).
[Crossref]

R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
[Crossref]

1977 (1)

L. E. Erickson, Opt. Commun. 21, 147 (1977).
[Crossref]

1968 (1)

M. J. Weber, J. Chem. Phys. 48, 4774 (1968).
[Crossref]

AuYeung, John C.

For a review of the phase-conjugate properties of optical echoes, see John C. AuYeung, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 285–305.
[Crossref]

Babbitt, W. R.

Carlson, N. W.

Chen, Y. C.

Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
[Crossref]

Chiang, K. P.

Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
[Crossref]

Erickson, L. E.

L. E. Erickson, Opt. Commun. 21, 147 (1977).
[Crossref]

Flusberg, A.

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

Flusberg, A. M.

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

Fujita, M.

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

Hartmann, S. R.

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
[Crossref]

Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
[Crossref]

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

Hesselink, W. H.

J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
[Crossref]

Kaarli, R.

Kachru, R.

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
[Crossref]

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

Kohmoto, T.

T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
[Crossref]

Levenson, M. D.

M. D. Levenson, IBM Tech. Discl. Bull. 24, 2797 (1981).

Macfarlane, R. M.

R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
[Crossref]

Matsuoka, M.

T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
[Crossref]

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

McFarlane, R. M.

R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
[Crossref]

Morsink, J. B. W.

J. B. W. Morsink and D. A. Wiersma, Chem. Phys. Lett. 65, 105 (1979).
[Crossref]

J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
[Crossref]

Mossberg, T.

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

Mossberg, T. W.

N. W. Carlson, W. R. Babbitt, and T. W. Mossberg, Opt. Lett. 8, 623 (1983).
[Crossref] [PubMed]

T. W. Mossberg, Opt. Lett. 7, 77 (1982).
[Crossref] [PubMed]

R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
[Crossref]

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

Nakanishi, H.

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

Nakatsuka, H.

T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
[Crossref]

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

Rebane, A.

Saari, P.

Shelby, R. M.

R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
[Crossref]

R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
[Crossref]

Shiren, N. S.

N. S. Shiren, Appl. Phys. Lett. 33, 299 (1978).
[Crossref]

Weber, M. J.

M. J. Weber, J. Chem. Phys. 48, 4774 (1968).
[Crossref]

Wiersma, D. A.

J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
[Crossref]

J. B. W. Morsink and D. A. Wiersma, Chem. Phys. Lett. 65, 105 (1979).
[Crossref]

Yannoni, C. S.

R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
[Crossref]

R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
[Crossref]

Appl. Phys. Lett. (1)

N. S. Shiren, Appl. Phys. Lett. 33, 299 (1978).
[Crossref]

Chem. Phys. Lett. (2)

J. B. W. Morsink and D. A. Wiersma, Chem. Phys. Lett. 65, 105 (1979).
[Crossref]

J. B. W. Morsink, W. H. Hesselink, and D. A. Wiersma, Chem. Phys. Lett. 64, 1 (1979).
[Crossref]

IBM Tech. Discl. Bull. (1)

M. D. Levenson, IBM Tech. Discl. Bull. 24, 2797 (1981).

J. Chem. Phys. (1)

M. J. Weber, J. Chem. Phys. 48, 4774 (1968).
[Crossref]

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

Jpn. J. Appl. Phys. (1)

T. Kohmoto, H. Nakatsuka, and M. Matsuoka, Jpn. J. Appl. Phys. 22, L571 (1983);
[Crossref]

Opt. Commun. (3)

R. Kachru, T. W. Mossberg, and S. R. Hartmann, Opt. Commun. 30, 57 (1979).
[Crossref]

Y. C. Chen, K. P. Chiang, and S. R. Hartmann, Opt. Commun. 29, 181 (1979).
[Crossref]

L. E. Erickson, Opt. Commun. 21, 147 (1977).
[Crossref]

Opt. Lett. (2)

Phys. Rev. A (1)

T. W. Mossberg, R. Kachru, S. R. Hartmann, and A. M. Flusberg, Phys. Rev. A 20, 1976 (1979).
[Crossref]

Phys. Rev. B (1)

R. M. Shelby, R. M. McFarlane, and C. S. Yannoni, Phys. Rev. B 21, 5004 (1980).
[Crossref]

Phys. Rev. Lett. (3)

R. M. Shelby, C. S. Yannoni, and R. M. Macfarlane, Phys. Rev. Lett. 41, 1739 (1978).
[Crossref]

T. Mossberg, A. Flusberg, R. Kachru, and S. R. Hartmann, Phys. Rev. Lett. 42, 1665 (1979).
[Crossref]

M. Fujita, H. Nakatsuka, H. Nakanishi, and M. Matsuoka, Phys. Rev. Lett. 42, 974 (1979).
[Crossref]

Other (1)

For a review of the phase-conjugate properties of optical echoes, see John C. AuYeung, in Optical Phase Conjugation, R. A. Fisher, ed. (Academic, New York, 1983), pp. 285–305.
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

Excitation schemes useful for backward-stimulated echo production in solids. Two of the several specific schemes are shown in (a) and (b).

Fig. 2
Fig. 2

Schematic of the experimental setup: BS1, BS2, and BS3 are beam splitters; BC is a beam combiner; L1 and L2 are 30-cm focal-length lenses; I is the image; A is a phase aberrator.

Fig. 3
Fig. 3

Spatial images photographed with an oscilloscope camera. The exposure times are ⅛ to 2 sec. (a) Image photographed 30 cm from the mask; (b) image 400 cm from mask; (c) backward echo; (d) same as (a) but with phase aberrator in the beam; (e) image photographed by placing a mirror at the sample position and retroreflecting the image beam through the aberrator; (f) echo with the phase aberrator.

Fig. 4
Fig. 4

Stimulated echo recorded by an OMA with t31 = 3 sec. After the delay time the echo images are accumulated on the reticon array in the OMA for 2 sec and are subsequently displayed on the oscilloscope and photographed with a camera.

Equations (4)

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E i ( r ) exp { i [ k i · r - ω 0 t + ϕ i ( r ) ] } ,
ρ 00 ( r , t ) = sin 2 ½ [ ( k 1 - k 2 ) · r + ( ϕ 1 - ϕ 2 ) - Δ ω t 21 ]
E e ( r , t ) sin θ 1 ( r ) sin θ 2 ( r ) sin θ 3 ( r ) exp ( - i ω 0 t ) × ( exp i { ( - k 1 + k 2 + k 3 ) · r - ϕ 1 ( r ) + ϕ 2 ( r ) + ϕ 3 ( r ) - Δ ω [ t - ( t 3 - t 21 ) ] } + exp i { ( k 1 - k 2 + k 3 ) · r + ϕ 1 ( r ) - ϕ 2 ( r ) + ϕ 3 ( r ) - Δ ω [ t - ( t 3 - t 21 ) ] } ) .
E e ( r ) E 1 ( r ) E 2 ( r ) E 3 ( r ) exp i [ - ω 0 t + k e · r - ϕ 1 ( r ) ] ,

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