Abstract

We propose a theoretical model for the recently reported anomalously long decay of a space-charge field that was resonantly excited in a photorefractive sillenite crystal [Phys. Rev. Lett. 79, 67 (1997)]. The model is based on the conventional concept of charge transfer and does not require excessively large values of the quality factor for space-charge waves. The effect in question is qualified as a critical slowing of the relaxation process as the threshold of optical oscillation is approached.

© 1999 Optical Society of America

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  1. B. I. Sturman, M. Mann, J. Otten, and K. H. Ringhofer, J. Opt. Soc. Am. B 10, 1919 (1993).
    [Crossref]
  2. L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon, Oxford, 1996).
  3. M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Materials in Coherent Systems (Springer-Verlag, Berlin, 1991).
    [Crossref]
  4. T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
    [Crossref] [PubMed]
  5. H. C. Pedersen and P. M. Johansen, Phys. Rev. Lett. 76, 4159 (1996).
    [Crossref] [PubMed]
  6. A. A. Kamshilin, E. Raita, and A. V. Khomenko, J. Opt. Soc. Am. B 13, 2536 (1996).
    [Crossref]
  7. A. A. Kamshilin, T. Jaaskelainen, C. J. Lima, M. R. B. Andreeta, and V. V. Prokofiev, Opt. Lett. 18, 690 (1993).
    [Crossref] [PubMed]
  8. H. C. Pedersen, D. J. Webb, and P. M. Johansen, J. Opt. Soc. Am. B 15, 2573 (1998).
    [Crossref]
  9. S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
    [Crossref]
  10. L. Landau and E. Lifshitz, Statistical Physics (Pergamon, Oxford, 1958).
  11. H. Haken, Synergetics (Springer-Verlag, Berlin, 1978).
    [Crossref]
  12. S. K. Kwong, M. Cronin-Golomb, and A. Yariv, IEEE J. Quantum Electron. QE-22, 1508 (1986).
    [Crossref]
  13. H. C. Pedersen, P. E. Andersen, and P. M. Johansen, Opt. Lett. 20, 2475 (1995).
    [Crossref]

1998 (1)

1997 (1)

S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
[Crossref]

1996 (2)

1995 (1)

1994 (1)

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

1993 (2)

1986 (1)

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

Andersen, P. E.

Andreeta, M. R. B.

Buchhave, B.

S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
[Crossref]

Cronin-Golomb, M.

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

Grunnet-Jepsen, A.

L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon, Oxford, 1996).

Haken, H.

H. Haken, Synergetics (Springer-Verlag, Berlin, 1978).
[Crossref]

Jaaskelainen, T.

Johansen, P. M.

Kamshilin, A. A.

Khomenko, A. V.

A. A. Kamshilin, E. Raita, and A. V. Khomenko, J. Opt. Soc. Am. B 13, 2536 (1996).
[Crossref]

M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Materials in Coherent Systems (Springer-Verlag, Berlin, 1991).
[Crossref]

Kwong, S. K.

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

Landau, L.

L. Landau and E. Lifshitz, Statistical Physics (Pergamon, Oxford, 1958).

Lifshitz, E.

L. Landau and E. Lifshitz, Statistical Physics (Pergamon, Oxford, 1958).

Lima, C. J.

Lyuksyutov, S. F.

S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
[Crossref]

Mann, M.

McClelland, T. E.

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

Otten, J.

Pedersen, H. C.

Petrov, M. P.

M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Materials in Coherent Systems (Springer-Verlag, Berlin, 1991).
[Crossref]

Prokofiev, V. V.

Raita, E.

Ringhofer, K. H.

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

B. I. Sturman, M. Mann, J. Otten, and K. H. Ringhofer, J. Opt. Soc. Am. B 10, 1919 (1993).
[Crossref]

Solymar, L.

L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon, Oxford, 1996).

Stepanov, S. I.

M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Materials in Coherent Systems (Springer-Verlag, Berlin, 1991).
[Crossref]

Sturman, B. I.

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

B. I. Sturman, M. Mann, J. Otten, and K. H. Ringhofer, J. Opt. Soc. Am. B 10, 1919 (1993).
[Crossref]

Vasnetsov, M. V.

S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
[Crossref]

Webb, D. J.

H. C. Pedersen, D. J. Webb, and P. M. Johansen, J. Opt. Soc. Am. B 15, 2573 (1998).
[Crossref]

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon, Oxford, 1996).

Yariv, A.

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

IEEE J. Quantum Electron. (1)

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

J. Opt. Soc. Am. B (3)

Opt. Lett. (2)

Phys. Rev. Lett. (3)

S. F. Lyuksyutov, B. Buchhave, and M. V. Vasnetsov, Phys. Rev. Lett. 79, 67 (1997).
[Crossref]

T. E. McClelland, D. J. Webb, B. I. Sturman, and K. H. Ringhofer, Phys. Rev. Lett. 73, 3082 (1994).
[Crossref] [PubMed]

H. C. Pedersen and P. M. Johansen, Phys. Rev. Lett. 76, 4159 (1996).
[Crossref] [PubMed]

Other (4)

L. Solymar, D. J. Webb, and A. Grunnet-Jepsen, The Physics and Applications of Photorefractive Materials (Claredon, Oxford, 1996).

M. P. Petrov, S. I. Stepanov, and A. V. Khomenko, Photorefractive Materials in Coherent Systems (Springer-Verlag, Berlin, 1991).
[Crossref]

L. Landau and E. Lifshitz, Statistical Physics (Pergamon, Oxford, 1958).

H. Haken, Synergetics (Springer-Verlag, Berlin, 1978).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1

Schematic of a resonant two-wave mixing experiment.

Fig. 2
Fig. 2

Normalized temporal dependences of asl,t/asl,0 for different values of Γl and Γlth=7. The dashed curves are produced without feedback, i.e., for ϵ=0.

Fig. 3
Fig. 3

Normalized relaxation time γKtr versus Γl for Γlth=3, 7. The dashed curve is plotted for infinite Γlth.

Equations (4)

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

EKt+γKEK=-iωKE0asap*,
asz=iπn3rλapEK,
asz=as0expΓz, EKz=-iQKE0as0ap* expΓz,
asl,q=as01qexpΓl-expΓl/q+11-ϵexpΓl/q+1.

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