Abstract

Transient energy coupling between two coherent beams occurs in dynamic holographic media with local and noninstantaneous responses. The physical origin of the effect is described, and an optical tracking filter based on the effect is demonstrated in a photorefractive Bi12SiO20 crystal.

© 1988 Optical Society of America

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References

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  1. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
    [CrossRef]
  2. T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
    [CrossRef]
  3. J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
    [CrossRef]
  4. M. Cronin-Golomb and A. Yariv, J. Appl. Phys. 57, 4906 (1985).
    [CrossRef]
  5. A. E. Chiou and P. Yeh, Opt. Lett. 10, 621 (1985);S.-K. Kwong and A. Yariv, Appl. Phys. Lett. 48, 564 (1986).
    [CrossRef] [PubMed]
  6. D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
    [CrossRef]
  7. G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
    [CrossRef]
  8. V. L. Vinetskii and N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 364 (1976).
  9. V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
    [CrossRef]
  10. N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
    [CrossRef]
  11. L. Solymar and J. M. Heaton, Opt. Commun. 51, 76 (1984).
    [CrossRef]
  12. M. Cronin-Golomb, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC5.
  13. J. M. Heaton and L. Solymar, Opt. Acta 32, 397 (1985).
    [CrossRef]
  14. The main part of this work is from N. S.-K. Kwong, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC7.
  15. S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
    [CrossRef]
  16. M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
    [CrossRef]
  17. J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
    [CrossRef]
  18. D. Z. Anderson, D. M. Linger, and J. Feinberg, Opt. Lett. 12, 123 (1987).
    [CrossRef] [PubMed]
  19. M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
    [CrossRef] [PubMed]
  20. A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
    [CrossRef]

1987 (3)

D. Z. Anderson, D. M. Linger, and J. Feinberg, Opt. Lett. 12, 123 (1987).
[CrossRef] [PubMed]

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
[CrossRef]

1986 (2)

S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
[CrossRef]

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

1985 (3)

M. Cronin-Golomb and A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

A. E. Chiou and P. Yeh, Opt. Lett. 10, 621 (1985);S.-K. Kwong and A. Yariv, Appl. Phys. Lett. 48, 564 (1986).
[CrossRef] [PubMed]

J. M. Heaton and L. Solymar, Opt. Acta 32, 397 (1985).
[CrossRef]

1984 (2)

L. Solymar and J. M. Heaton, Opt. Commun. 51, 76 (1984).
[CrossRef]

D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
[CrossRef]

1983 (1)

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[CrossRef]

1982 (1)

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

1981 (1)

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[CrossRef]

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

1977 (3)

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
[CrossRef]

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[CrossRef]

1976 (1)

V. L. Vinetskii and N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 364 (1976).

Albers, F.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Anderson, D. Z.

Biernacki, A. M.

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

Cheng, L. J.

A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
[CrossRef]

Chiou, A. E.

Cronin-Golomb, M.

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
[CrossRef]

M. Cronin-Golomb and A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

M. Cronin-Golomb, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC5.

Feinberg, J.

Fisher, B.

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

Garmire, E. M.

A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
[CrossRef]

Goltz, J.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Heaton, J. M.

J. M. Heaton and L. Solymar, Opt. Acta 32, 397 (1985).
[CrossRef]

L. Solymar and J. M. Heaton, Opt. Commun. 51, 76 (1984).
[CrossRef]

Herden, A.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Huignard, J. P.

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[CrossRef]

Huingnard, J. P.

D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
[CrossRef]

Klein, M. B.

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[CrossRef]

Klumb, H.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Kong, H.

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

Kukhtarev, N.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[CrossRef]

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
[CrossRef]

V. L. Vinetskii and N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 364 (1976).

Kwong, N. S.-K.

The main part of this work is from N. S.-K. Kwong, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC7.

Kwong, S.-K.

S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
[CrossRef]

Laeri, F.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Ledonx, I.

D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
[CrossRef]

Lin, C.

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

Linger, D. M.

Markov, V.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[CrossRef]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

Marrakchi, A.

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[CrossRef]

Micheron, F.

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[CrossRef]

Odulov, S.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[CrossRef]

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

Partovi, A.

A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
[CrossRef]

Peltier, M.

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[CrossRef]

Rak, D.

D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
[CrossRef]

Solymar, L.

J. M. Heaton and L. Solymar, Opt. Acta 32, 397 (1985).
[CrossRef]

L. Solymar and J. M. Heaton, Opt. Commun. 51, 76 (1984).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
[CrossRef]

Tschudi, T.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

Valley, G. C.

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[CrossRef]

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
[CrossRef]

V. L. Vinetskii and N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 364 (1976).

White, J. O.

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

Yariv, A.

S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
[CrossRef]

M. Cronin-Golomb and A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

Yeh, P.

Appl Phys. Lett. (1)

J. O. White, M. Cronin-Golomb, B. Fisher, and A. Yariv, Appl Phys. Lett. 40, 450 (1982).
[CrossRef]

Appl. Phys. Lett. (1)

A. Partovi, E. M. Garmire, and L. J. Cheng, Appl. Phys. Lett. 51, 299 (1987);P. Yeh, J. Opt. Soc. Am. B 4, 1382 (1987).
[CrossRef]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, Ferroelectrics 22, 949, 961 (1979).
[CrossRef]

IEEE J. Quantum Electron. (2)

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, and F. Albers, IEEE J. Quantum Electron. QE-19, 1493 (1986).
[CrossRef]

S.-K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
[CrossRef]

J. Appl. Phys. (2)

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[CrossRef]

M. Cronin-Golomb and A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

Opt Lett. (1)

M. Cronin-Golomb, A. M. Biernacki, C. Lin, and H. Kong, Opt Lett. 12, 1029 (1987).
[CrossRef] [PubMed]

Opt. Acta (1)

J. M. Heaton and L. Solymar, Opt. Acta 32, 397 (1985).
[CrossRef]

Opt. Commun. (4)

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[CrossRef]

D. Rak, I. Ledonx, and J. P. Huingnard, Opt. Commun. 49, 302 (1984).
[CrossRef]

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[CrossRef]

L. Solymar and J. M. Heaton, Opt. Commun. 51, 76 (1984).
[CrossRef]

Opt. Eng. (1)

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[CrossRef]

Opt. Lett. (2)

Sov. J. Quantum Electron. (1)

V. L. Vinetskii, N. V. Kukhtarev, and M. S. Soskin, Sov. J. Quantum Electron. 7, 230 (1977).
[CrossRef]

Sov. Tech. Phys. Lett. (1)

V. L. Vinetskii and N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 364 (1976).

Other (2)

M. Cronin-Golomb, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC5.

The main part of this work is from N. S.-K. Kwong, in Digest of Topical Meeting on Photorefractive Materials, Effects, and Devices (Optical Society of America, Washington, D.C., 1987), paper ThC7.

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Figures (4)

Fig. 1
Fig. 1

Diagram to illustrate the dynamics of the holographic index grating formation. Solid lines indicate light-interference fringes, and dashed lines indicate index gratings: (a) t = 0 (both lines are overlapped), (b) 0 < t < τ, (c) tτ (both lines are overlapped).

Fig. 2
Fig. 2

Dependence of transient energy transfer on the normalized time t/τ.

Fig. 3
Fig. 3

Experimental setup to demonstrate the optical tracking filter.

Fig. 4
Fig. 4

(a) The I beam transmitted through the crystal. This beam carries the pictorial information of the letter O. (b) The I+ beam recorded when the transparency was moving across the beam I. (c) The I+ beam recorded subsequently when the transparency returned to rest. (d) The I+ beam recorded when the optical table was shaken with the transparency at rest.

Equations (5)

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

d I + d s = Γ I + I I 0 α I + ,
d I d s = Γ I + I I 0 α I ,
d ( δ ψ ) d s = Γ ( I + I ) I 0 ,
γ = ω r eff n 0 3 4 c E q ( E 0 + i E D ) E 0 + i ( E D + E q ) .
I ± ( l ) I ± ( 0 ) [ I + ( 0 ) I ( 0 ) ] I + ( 0 ) I ( 0 ) × exp ( t τ ) [ t τ + exp ( t τ ) 1 ] .

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