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  1. H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
    [Crossref]
  2. S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
    [Crossref]
  3. G. C. Valley, “Two-Wave Mixing with an Applied Field and a Moving Grating,” J. Opt. Soc. Am. B 1, 868 (1984).
    [Crossref]
  4. P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
    [Crossref]
  5. H. Rajbenbach, J. P. Huignard, P. Refregier, “Amplified Phase-Conjugate Beam Reflection by Four-Wave Mixing with Photorefractive Bi12SiO20 Crystals,” Opt. Lett. 9, 558 (1984).
    [Crossref] [PubMed]
  6. S. I. Stepanov, M. P. Petrov, “Efficient Unstationary Holographic Recording in Photorefractive Crystals under an External Alternating Electric Field,” Opt. Commun. 53, 292 (1985).
    [Crossref]
  7. P. Gunter, “Holography, Coherent Light Amplification, and Optical Phase Conjugation with Photorefractive Materials,” Phys. Rep. 93, 199 (1982).
    [Crossref]
  8. J. P. Huignard, A. Marrakchi, Opt. Commun. 38, 249 (1981).
    [Crossref]
  9. R. Crane, “Interference Phase Measurement,” Appl. Opt. 8, 538 (1969).
  10. M. P. Kothiyal, C. Delisle, “Optical Frequency Shifter for Heterodyne Interferometry Using Counterrotating Wave Plates,” Opt. Lett. 9, 319 (1984).
    [Crossref] [PubMed]
  11. A. Yariv, P. Yeh, in Optical Waves in Crystals, “Chapter 5: Jones Calculus and its Application to Birefringent Optical Systems,” (Wiley-Interscience, New York, 1984), p. 121.
  12. J. P. Campbell, W. H. Steier, “Rotating Waveplate Optical Frequency Shifting in Lithium Niobate,” in An Introduction to Electrooptic Devices, I. P. Kaminov, Ed. (Academic, New York, 1974), p. 243.
  13. B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Amplified Reflection, Transmission, and Self-oscillation in Real-Time Holography,” Opt. Lett. 6, 519 (1981).
    [Crossref] [PubMed]
  14. J. Lam, “Spectral Response of Nearly Degenerate Four-Wave Mixing in Photorefractive Materials,” Appl. Phys. Lett. 42, 155 (1983).
    [Crossref]

1985 (2)

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

S. I. Stepanov, M. P. Petrov, “Efficient Unstationary Holographic Recording in Photorefractive Crystals under an External Alternating Electric Field,” Opt. Commun. 53, 292 (1985).
[Crossref]

1984 (3)

1983 (2)

J. Lam, “Spectral Response of Nearly Degenerate Four-Wave Mixing in Photorefractive Materials,” Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
[Crossref]

1982 (2)

S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
[Crossref]

P. Gunter, “Holography, Coherent Light Amplification, and Optical Phase Conjugation with Photorefractive Materials,” Phys. Rep. 93, 199 (1982).
[Crossref]

1981 (2)

1969 (1)

R. Crane, “Interference Phase Measurement,” Appl. Opt. 8, 538 (1969).

Campbell, J. P.

J. P. Campbell, W. H. Steier, “Rotating Waveplate Optical Frequency Shifting in Lithium Niobate,” in An Introduction to Electrooptic Devices, I. P. Kaminov, Ed. (Academic, New York, 1974), p. 243.

Crane, R.

R. Crane, “Interference Phase Measurement,” Appl. Opt. 8, 538 (1969).

Cronin-Golomb, M.

Delisle, C.

Fischer, B.

Gunter, P.

P. Gunter, “Holography, Coherent Light Amplification, and Optical Phase Conjugation with Photorefractive Materials,” Phys. Rep. 93, 199 (1982).
[Crossref]

Huignard, J. P.

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

H. Rajbenbach, J. P. Huignard, P. Refregier, “Amplified Phase-Conjugate Beam Reflection by Four-Wave Mixing with Photorefractive Bi12SiO20 Crystals,” Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
[Crossref]

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

Kolikov, V. V.

S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
[Crossref]

Kothiyal, M. P.

Lam, J.

J. Lam, “Spectral Response of Nearly Degenerate Four-Wave Mixing in Photorefractive Materials,” Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

Loiseaux, B.

H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
[Crossref]

Marrakchi, A.

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

Petrov, M. P.

S. I. Stepanov, M. P. Petrov, “Efficient Unstationary Holographic Recording in Photorefractive Crystals under an External Alternating Electric Field,” Opt. Commun. 53, 292 (1985).
[Crossref]

S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
[Crossref]

Rajbenbach, H.

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

H. Rajbenbach, J. P. Huignard, P. Refregier, “Amplified Phase-Conjugate Beam Reflection by Four-Wave Mixing with Photorefractive Bi12SiO20 Crystals,” Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
[Crossref]

Refregier, P.

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

H. Rajbenbach, J. P. Huignard, P. Refregier, “Amplified Phase-Conjugate Beam Reflection by Four-Wave Mixing with Photorefractive Bi12SiO20 Crystals,” Opt. Lett. 9, 558 (1984).
[Crossref] [PubMed]

Solymar, L.

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

Steier, W. H.

J. P. Campbell, W. H. Steier, “Rotating Waveplate Optical Frequency Shifting in Lithium Niobate,” in An Introduction to Electrooptic Devices, I. P. Kaminov, Ed. (Academic, New York, 1974), p. 243.

Stepanov, S. I.

S. I. Stepanov, M. P. Petrov, “Efficient Unstationary Holographic Recording in Photorefractive Crystals under an External Alternating Electric Field,” Opt. Commun. 53, 292 (1985).
[Crossref]

S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
[Crossref]

Valley, G. C.

White, J. O.

Yariv, A.

B. Fischer, M. Cronin-Golomb, J. O. White, A. Yariv, “Amplified Reflection, Transmission, and Self-oscillation in Real-Time Holography,” Opt. Lett. 6, 519 (1981).
[Crossref] [PubMed]

A. Yariv, P. Yeh, in Optical Waves in Crystals, “Chapter 5: Jones Calculus and its Application to Birefringent Optical Systems,” (Wiley-Interscience, New York, 1984), p. 121.

Yeh, P.

A. Yariv, P. Yeh, in Optical Waves in Crystals, “Chapter 5: Jones Calculus and its Application to Birefringent Optical Systems,” (Wiley-Interscience, New York, 1984), p. 121.

Appl. Opt. (1)

R. Crane, “Interference Phase Measurement,” Appl. Opt. 8, 538 (1969).

Appl. Phys. Lett. (1)

J. Lam, “Spectral Response of Nearly Degenerate Four-Wave Mixing in Photorefractive Materials,” Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

J. Appl. Phys. (1)

P. Refregier, L. Solymar, H. Rajbenbach, J. P. Huignard, “Two-Beam Coupling in Photorefractive Bi12SiO20 Crystals with Moving Grating: Theory and Experiments,” J. Appl. Phys. 58, 45 (1985).
[Crossref]

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

Opt. Commun. (4)

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

S. I. Stepanov, M. P. Petrov, “Efficient Unstationary Holographic Recording in Photorefractive Crystals under an External Alternating Electric Field,” Opt. Commun. 53, 292 (1985).
[Crossref]

H. Rajbenbach, J. P. Huignard, B. Loiseaux, “Spatial Frequency Dependence of the Energy Transfer in Two-Wave Mixing Experiments with BSO Crystals,” Opt. Commun. 48, 247 (1983).
[Crossref]

S. I. Stepanov, V. V. Kolikov, M. P. Petrov, “Running Holograms in Photorefractive Bi12SiO20 Crystals,” Opt. Commun. 44, 19 (1982).
[Crossref]

Opt. Lett. (3)

Phys. Rep. (1)

P. Gunter, “Holography, Coherent Light Amplification, and Optical Phase Conjugation with Photorefractive Materials,” Phys. Rep. 93, 199 (1982).
[Crossref]

Other (2)

A. Yariv, P. Yeh, in Optical Waves in Crystals, “Chapter 5: Jones Calculus and its Application to Birefringent Optical Systems,” (Wiley-Interscience, New York, 1984), p. 121.

J. P. Campbell, W. H. Steier, “Rotating Waveplate Optical Frequency Shifting in Lithium Niobate,” in An Introduction to Electrooptic Devices, I. P. Kaminov, Ed. (Academic, New York, 1974), p. 243.

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Figures (3)

Fig. 1
Fig. 1

Nearly degenerate two-wave mixing in photorefractive Bi12 (Si, Ge, Ti)O20 crystals. Moving grating recording with an externally applied electric field. F.S., frequency shifter on the pump beam.

Fig. 2
Fig. 2

(a) Frequency shifting by a piezomirror; (b) driving voltage of the piezomirror. Periodic sawtooth: period t1; decay time t2t.

Fig. 3
Fig. 3

Frequency shifting by rotation of a half-wave plate placed between two fixed quarter-wave plates. Frequency shift of δω on the pump for an angular frequency of δω/2.

Equations (8)

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

ϕ ( t ) = 4 π λ χ U ( t ) × cos θ 0 ,
E P = E P cos [ ω 0 t + 4 π λ χ U ( t ) cos θ 0 ] ,
E P = E P × n = + sin ( n π ϕ M 2 ) n π ϕ M 2 cos ( ω 0 t + 2 π n t t 1 ) ,
ϕ M = 4 π λ χ U M × cos θ 0 .
ω n = ω 0 + n 2 π t 1 , E n = E P sin ( n π 2 π λ χ U M × cos θ 0 ) ( n π 2 π λ χ U M × cos θ 0 ) .
E p = M × M r × M × E 0 ,
E 0 = E 0 ( 1 0 ) exp i ω 0 t ; M = ( 1 i i 1 ) ; M r = ( cos 2 ω t sin 2 ω t sin 2 ω t cos 2 ω t ) .
E P = E 0 ( 1 0 ) exp i ( ω 0 + 2 ω ) t .

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