Abstract

We report coherent oscillations due to self-induced moving gratings in photorefractive BSO crystals when recording with an external applied field. Different types of ring and phase-conjugate resonators pumped with low-incident-intensity beams and having short response times are demonstrated. The conditions permitting oscillation and the respective frequencies of the pump and the signal beams in the cavity are analyzed.

© 1985 Optical Society of America

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References

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  1. J. P. Huignard, A. Marrakchi, Opt. Commun. 38, 249 (1981).
    [Crossref]
  2. S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
    [Crossref]
  3. H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
    [Crossref]
  4. H. Rajbenbach, J. P. Huignard, Ph. Refrégier, Opt. Lett. 9, 558 (1984).
    [Crossref] [PubMed]
  5. J. Feinberg, R. W. Hellwarth, Opt. Lett. 5, 519 (1980).
    [Crossref] [PubMed]
  6. J. O. White, M. Cronin-Golomb, B. Fischer, A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
    [Crossref]
  7. R. Jain, G. Dunning, Opt. Lett. 7, 420 (1982).
    [Crossref] [PubMed]
  8. M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
    [Crossref]
  9. J. Feinberg, G. D. Bacher, Opt. Lett. 9, 420 (1984).
    [Crossref] [PubMed]
  10. F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
    [Crossref]
  11. S. Odulov, M. Soskin, JETP Lett. 37, 289 (1983).
  12. A. Litvinenko, S. Odulov, Opt. Lett. 9, 68 (1984).
    [Crossref] [PubMed]
  13. J. P. Huignard, H. Rajbenbach, B. Loiseaux, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1984), paper ThQ4.
  14. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, V. L. Vinetskii, Ferroelectrics 22, 949 (1979).
    [Crossref]
  15. G. C. Valley, J. Opt. Soc. Am. B 1, 868 (1984).
    [Crossref]
  16. Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
    [Crossref]
  17. P. Yeh, M. D. Ewbank, M. Khonevisan, J. M. Tracy, Opt. Lett. 9, 41 (1984).
    [Crossref] [PubMed]

1984 (6)

1983 (4)

F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
[Crossref]

S. Odulov, M. Soskin, JETP Lett. 37, 289 (1983).

H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

1982 (3)

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

R. Jain, G. Dunning, Opt. Lett. 7, 420 (1982).
[Crossref] [PubMed]

S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

1981 (1)

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

1980 (1)

1979 (1)

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

Albers, J.

F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
[Crossref]

Bacher, G. D.

Cronin-Golomb, M.

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

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

Dunning, G.

Ewbank, M. D.

Feinberg, J.

Fischer, B.

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

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

Hellwarth, R. W.

Huignard, J. P.

Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
[Crossref]

H. Rajbenbach, J. P. Huignard, Ph. Refrégier, Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

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

J. P. Huignard, H. Rajbenbach, B. Loiseaux, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1984), paper ThQ4.

Jain, R.

Khonevisan, M.

Kukhtarev, N. V.

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

Kulikov, V.

S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Laeri, F.

F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
[Crossref]

Litvinenko, A.

Loiseaux, B.

H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

J. P. Huignard, H. Rajbenbach, B. Loiseaux, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1984), paper ThQ4.

Markov, V. B.

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

Marrakchi, A.

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

Odulov, S.

A. Litvinenko, S. Odulov, Opt. Lett. 9, 68 (1984).
[Crossref] [PubMed]

S. Odulov, M. Soskin, JETP Lett. 37, 289 (1983).

Odulov, S. G.

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

Petrov, M.

S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Rajbenbach, H.

Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
[Crossref]

H. Rajbenbach, J. P. Huignard, Ph. Refrégier, Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

J. P. Huignard, H. Rajbenbach, B. Loiseaux, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1984), paper ThQ4.

Refrégier, Ph.

Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
[Crossref]

H. Rajbenbach, J. P. Huignard, Ph. Refrégier, Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

Solymar, L.

Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
[Crossref]

Soskin, M.

S. Odulov, M. Soskin, JETP Lett. 37, 289 (1983).

Soskin, M. S.

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

Stepanov, S. I.

S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Tracy, J. M.

Tschudi, T.

F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
[Crossref]

Valley, G. C.

Vinetskii, V. L.

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

White, J. O.

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

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

Yariv, A.

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

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

Yeh, P.

Appl. Phys. Lett. (2)

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

M. Cronin-Golomb, B. Fischer, J. O. White, A. Yariv, Appl. Phys. Lett. 42, 919 (1983).
[Crossref]

Electron. Lett. (1)

Ph. Refrégier, L. Solymar, H. Rajbenbach, J. P. Huignard, Electron. Lett. 20, 656 (1984).
[Crossref]

Ferroelectrics (1)

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

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

JETP Lett. (1)

S. Odulov, M. Soskin, JETP Lett. 37, 289 (1983).

Opt. Commun. (4)

F. Laeri, T. Tschudi, J. Albers, Opt. Commun. 47, 387 (1983).
[Crossref]

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

S. I. Stepanov, V. Kulikov, M. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

Opt. Lett. (6)

Other (1)

J. P. Huignard, H. Rajbenbach, B. Loiseaux, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1984), paper ThQ4.

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Figures (6)

Fig. 1
Fig. 1

Self-induced optical ring cavity with photorefractive BSO amplifier. Crystal interaction length l = 10 mm, interelectrode distance d = 5 mm, E0 = 10 kV cm−1. BS, beam splitter; G, glass plates with antireflection coating; P, circular hole used as mode selector (ϕ = 1.5 mm). 2θ = 1.5°, IR0 = 150 mW cm−2, wavelength λ = 568 nm. S, shutter; M1–M3, dielectric plane mirrors; E, screen for mode-pattern observation.

Fig. 2
Fig. 2

Time evolution of the beam intensity in the ring cavity. IR0 = 150 mW cm−2, t < τ, cavity buildup (Γ ≫ αt). tτ steady state (Γ ≃ αt).

Fig. 3
Fig. 3

Transverse-mode structure of the self-induced beam in the ring cavity; fundamental and higher-order modes obtained with the mode selector in the resonator.

Fig. 4
Fig. 4

Self-induced multimode oscillation between the two plane mirrors M1 and M2. Pump beam, IR0.

Fig. 5
Fig. 5

Ring cavity with two independent counterpropagating oscillation beams IS1 and IS2, respectively, self-induced by the pump beams IR1 and IR2. IR1IR2 ≃ 150 mW cm−2; λ = 568 nm. In the steady state, IS1IS2 = 0.2IR.

Fig. 6
Fig. 6

Self-induced oscillation between a plane mirror M and a photorefractive BSO phase-conjugate mirror (nearly degenerate 4WM in the BSO). IR0 = 150 mW cm−2, 2θ = 1.5°, E0 = 10 kV cm−1, pump-beam ratio LL0/IR0 = 0.2.

Equations (8)

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( l R BS ) R 3 exp ( Γ α t ) l 1 ,
δ ω = 2 π υ op Λ 1 ,
υ op = es N D Λ 2 4 π 2 I R 0 E 0 .
Λ op = 2 π E 0 N A ( μ e γ R ) 1 / 2 ,
δ ω = e N D 2 π s E 0 ( Λ 1 I R 1 Λ 2 I R 2 ) .
δ δ = δ ω , ω s = ω R 0 + ω L 0 ω s .
ω L 0 = ω 0 , ω R 0 = ω 0 + 2 δ ω ,
ω s = ω 0 + δ ω .

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