Abstract

It is shown that a resonance-enhanced moving grating in a photorefractive crystal is unstable against the growth of weakly damped space-charge waves. The threshold of the instability and the rate of exponential growth of the waves are found.

© 1993 Optical Society of America

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References

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  1. Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
    [Crossref]
  2. S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
    [Crossref]
  3. S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
    [Crossref]
  4. D. J. Webb, L. Solymar, Opt. Commun. 74, 386 (1990).
    [Crossref]
  5. J. Takacs, L. Solymar, Opt. Lett. 17, 247 (1992).
    [Crossref] [PubMed]
  6. B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
    [Crossref]
  7. B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
    [Crossref]
  8. B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
    [Crossref]
  9. B. I. Sturman, M. Mann, K. H. Ringhofer, Opt. Lett. 17, 1620 (1992).
    [Crossref] [PubMed]
  10. S. E. Trullinger, V. E. Zakharov, V. L. Pokrovsky, eds., Solitons (Elsevier, Amsterdam, 1986), Chap. 5, pp. 241–300.

1992 (5)

J. Takacs, L. Solymar, Opt. Lett. 17, 247 (1992).
[Crossref] [PubMed]

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Opt. Lett. 17, 1620 (1992).
[Crossref] [PubMed]

1990 (1)

D. J. Webb, L. Solymar, Opt. Commun. 74, 386 (1990).
[Crossref]

1988 (1)

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

1985 (2)

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

Bledowski, A.

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

Ducollet, H.

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

Herriau, J. P.

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

Huignard, J. P.

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

Imbert, B.

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

Mallick, S.

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

Mann, M.

B. I. Sturman, M. Mann, K. H. Ringhofer, Opt. Lett. 17, 1620 (1992).
[Crossref] [PubMed]

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
[Crossref]

Otten, J.

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

Petrov, M. P.

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

Rajbenbach, H.

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

Refregier, Ph.

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

Ringhofer, K. H.

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Opt. Lett. 17, 1620 (1992).
[Crossref] [PubMed]

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
[Crossref]

Solymar, L.

J. Takacs, L. Solymar, Opt. Lett. 17, 247 (1992).
[Crossref] [PubMed]

D. J. Webb, L. Solymar, Opt. Commun. 74, 386 (1990).
[Crossref]

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

Stepanov, S. I.

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

Sturman, B.

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

Sturman, B. I.

B. I. Sturman, M. Mann, K. H. Ringhofer, Opt. Lett. 17, 1620 (1992).
[Crossref] [PubMed]

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
[Crossref]

Takacs, J.

Webb, D. J.

D. J. Webb, L. Solymar, Opt. Commun. 74, 386 (1990).
[Crossref]

Appl. Phys. A (2)

B. I. Sturman, M. Mann, J. Otten, K. H. Ringhofer, Appl. Phys. A 55, 55 (1992).
[Crossref]

B. I. Sturman, M. Mann, K. H. Ringhofer, Appl. Phys. A 55, 235 (1992).
[Crossref]

J. Appl. Phys. (2)

Ph. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, J. Appl. Phys. 58, 45 (1985).
[Crossref]

S. Mallick, B. Imbert, H. Ducollet, J. P. Herriau, J. P. Huignard, J. Appl. Phys. 63, 5660 (1988).
[Crossref]

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

B. Sturman, A. Bledowski, J. Otten, K. H. Ringhofer, J. Opt. Soc. Am. B 5, 672 (1992).
[Crossref]

Opt. Commun. (2)

D. J. Webb, L. Solymar, Opt. Commun. 74, 386 (1990).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

Opt. Lett. (2)

Other (1)

S. E. Trullinger, V. E. Zakharov, V. L. Pokrovsky, eds., Solitons (Elsevier, Amsterdam, 1986), Chap. 5, pp. 241–300.

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Figures (1)

Fig. 1
Fig. 1

Contour plot mth(E0, K) for typical BSO parameters. The numbers 1–6 correspond to mth = 0.145, 0.15, 0.17, 0.20, 0.30, and 0.60, respectively.

Equations (7)

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ω k = e g 0 0 ¯ E 0 1 k z , γ k = g 0 ( 1 N + e 0 ¯ μ τ E 0 2 1 k z 2 + k B T 0 ¯ E 0 2 k 2 k z 2 ) .
E K E 0 m 2 ω K Ω - ω K + i γ K .
K = k + k , Ω = ω k + ω k .
2 K = k + k , 2 Ω = ω k + ω k .
Γ = 1 2 [ - γ k - γ k + ( γ k - γ k ) 2 + 4 Γ 0 2 ] .
Γ 0 = ω K 6 m 2 Q K 2 1 + k 2 / K 2 .
m th = 6 Q K 3 .

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