Abstract

Phase-conjugate reflectivity obtained by degenerate four-wave mixing are measured in different azo dye solutions. A reflectivity up to 80% was achieved. Values of the nonlinear susceptibility χ(3) are calculated, and its origin is discussed.

© 1988 Optical Society of America

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References

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  1. Y. R. Shen, “Basic Considerations of Four-Wave Mixing and Dynamic Grating,” IEEE J. Quantum Electron. QE-22, 1196 (1986).
    [CrossRef]
  2. R. K. Jain, “Degenerate Four-Wave Mixing in Semiconductors: Application for Phase Conjugation and to Picosecond-Resolved Studies of Transient Carrier Dynamics,” Opt. Eng. 21, 199 (1982).
    [CrossRef]
  3. P. Yeh, A. E. T. Chiou, “Optical Matrix–Vector Multiplication Through Four-Wave Mixing in Photorefractive Media,” Opt. Lett. 12, 138 (1987).
    [CrossRef] [PubMed]
  4. W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
    [CrossRef]
  5. J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
    [CrossRef]
  6. D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
    [CrossRef]
  7. R. K. Jain, M. B. Klein, “Degenerate 4 Wave Mixing in Semiconductors,” in Optical Phase Conjugation, R. A. Fisher, Ed. (Academic, New York, 1983).
  8. T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
    [CrossRef]
  9. R. G. Caro, M. C. Gower, “Phase Conjugation by Degenerate Four-Wave Mixing in Absorbing Media,” IEEE J. Quantum Electron. QE-18, 1376 (1982).
    [CrossRef]
  10. C. Maloney, W. Blau, “Resonant Third-Order Hyperpolarizabilities of Large Organic Molecules,” J. Opt. Soc. Am. B 4, 1035 (1987).
    [CrossRef]
  11. G. Martin, R. W. Hellwarth, “Infrared-to-Optical Image Conversion by Bragg Reflection from Thermally Induced Index Gratings,” Appl. Phys. Lett. 34, 371 (1979.
    [CrossRef]

1987 (2)

1986 (3)

W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
[CrossRef]

Y. R. Shen, “Basic Considerations of Four-Wave Mixing and Dynamic Grating,” IEEE J. Quantum Electron. QE-22, 1196 (1986).
[CrossRef]

T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
[CrossRef]

1982 (2)

R. G. Caro, M. C. Gower, “Phase Conjugation by Degenerate Four-Wave Mixing in Absorbing Media,” IEEE J. Quantum Electron. QE-18, 1376 (1982).
[CrossRef]

R. K. Jain, “Degenerate Four-Wave Mixing in Semiconductors: Application for Phase Conjugation and to Picosecond-Resolved Studies of Transient Carrier Dynamics,” Opt. Eng. 21, 199 (1982).
[CrossRef]

1980 (1)

J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
[CrossRef]

1979 (1)

G. Martin, R. W. Hellwarth, “Infrared-to-Optical Image Conversion by Bragg Reflection from Thermally Induced Index Gratings,” Appl. Phys. Lett. 34, 371 (1979.
[CrossRef]

1978 (1)

D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

Blau, W.

C. Maloney, W. Blau, “Resonant Third-Order Hyperpolarizabilities of Large Organic Molecules,” J. Opt. Soc. Am. B 4, 1035 (1987).
[CrossRef]

W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
[CrossRef]

Bradley, D. J.

W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
[CrossRef]

J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
[CrossRef]

Caro, R. G.

R. G. Caro, M. C. Gower, “Phase Conjugation by Degenerate Four-Wave Mixing in Absorbing Media,” IEEE J. Quantum Electron. QE-18, 1376 (1982).
[CrossRef]

Chiou, A. E. T.

Dennis, W. M.

W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
[CrossRef]

Fekete, D.

D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

Gower, M. C.

R. G. Caro, M. C. Gower, “Phase Conjugation by Degenerate Four-Wave Mixing in Absorbing Media,” IEEE J. Quantum Electron. QE-18, 1376 (1982).
[CrossRef]

Hellwarth, R. W.

G. Martin, R. W. Hellwarth, “Infrared-to-Optical Image Conversion by Bragg Reflection from Thermally Induced Index Gratings,” Appl. Phys. Lett. 34, 371 (1979.
[CrossRef]

Jain, R. K.

R. K. Jain, “Degenerate Four-Wave Mixing in Semiconductors: Application for Phase Conjugation and to Picosecond-Resolved Studies of Transient Carrier Dynamics,” Opt. Eng. 21, 199 (1982).
[CrossRef]

R. K. Jain, M. B. Klein, “Degenerate 4 Wave Mixing in Semiconductors,” in Optical Phase Conjugation, R. A. Fisher, Ed. (Academic, New York, 1983).

Klein, M. B.

R. K. Jain, M. B. Klein, “Degenerate 4 Wave Mixing in Semiconductors,” in Optical Phase Conjugation, R. A. Fisher, Ed. (Academic, New York, 1983).

Maloney, C.

Martin, G.

G. Martin, R. W. Hellwarth, “Infrared-to-Optical Image Conversion by Bragg Reflection from Thermally Induced Index Gratings,” Appl. Phys. Lett. 34, 371 (1979.
[CrossRef]

Nikolova, L.

T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
[CrossRef]

Pepper, D. M.

D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

Romova, N.

T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
[CrossRef]

Shen, Y. R.

Y. R. Shen, “Basic Considerations of Four-Wave Mixing and Dynamic Grating,” IEEE J. Quantum Electron. QE-22, 1196 (1986).
[CrossRef]

Sibbett, W.

J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
[CrossRef]

Tocho, J. O.

J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
[CrossRef]

Todorov, T.

T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
[CrossRef]

Yariv, A.

D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

Yeh, P.

Appl. Phys. Lett. (2)

D. M. Pepper, D. Fekete, A. Yariv, “Observation of Amplified Phase Conjugate Reflection and Optical Parametric Oscillation by Degenerate from Wave Mixing in a Transparent Medium,” Appl. Phys. Lett. 33, 41 (1978).
[CrossRef]

G. Martin, R. W. Hellwarth, “Infrared-to-Optical Image Conversion by Bragg Reflection from Thermally Induced Index Gratings,” Appl. Phys. Lett. 34, 371 (1979.
[CrossRef]

IEEE J. Quantum Electron. (3)

T. Todorov, L. Nikolova, N. Romova, “Photoinduced Anisotropy in Rigid Dye Solutions for Transient Polarization Holography,” IEEE J. Quantum Electron. QE-22, 1262 (1986).
[CrossRef]

R. G. Caro, M. C. Gower, “Phase Conjugation by Degenerate Four-Wave Mixing in Absorbing Media,” IEEE J. Quantum Electron. QE-18, 1376 (1982).
[CrossRef]

Y. R. Shen, “Basic Considerations of Four-Wave Mixing and Dynamic Grating,” IEEE J. Quantum Electron. QE-22, 1196 (1986).
[CrossRef]

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

Opt. Commun. (1)

J. O. Tocho, W. Sibbett, D. J. Bradley, “Picosecond Phase-Conjugate Reflection from Organic Dye Saturable Absorbers,” Opt. Commun. 34, 122 (1980).
[CrossRef]

Opt. Eng. (2)

W. M. Dennis, W. Blau, D. J. Bradley, “Optical Phase Conjugation in a Soluble Polymer,” Opt. Eng. 25, 538 (1986).
[CrossRef]

R. K. Jain, “Degenerate Four-Wave Mixing in Semiconductors: Application for Phase Conjugation and to Picosecond-Resolved Studies of Transient Carrier Dynamics,” Opt. Eng. 21, 199 (1982).
[CrossRef]

Opt. Lett. (1)

Other (1)

R. K. Jain, M. B. Klein, “Degenerate 4 Wave Mixing in Semiconductors,” in Optical Phase Conjugation, R. A. Fisher, Ed. (Academic, New York, 1983).

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Figures (5)

Fig. 1
Fig. 1

Molecular structure of the azo dyes used: benzopurpurin 4B; chrysoidin.

Fig. 2
Fig. 2

Experimental setup for DFWM using retroreflection geometry.

Fig. 3
Fig. 3

Dependence of the phase-conjugate reflectivity R on the first pump beam intensity I1 for chrysoidin/methanol solution (2.4 × 10−4 M).

Fig. 4
Fig. 4

Dependence of R vs I1 (given in MW/cm2) with I2/I1 = 1/100 for chrysoidin/ethanol (2.7 × 10−4 M).

Fig. 5
Fig. 5

Dependence of the phase-conjugate reflectivity on benzopurpurin 4B concentration in glycerol with I1 = 1.5 MW/cm2.

Tables (1)

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Table I Summary of Results

Equations (4)

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χ exp ( 3 ) = 4 3 c 2 0 n 2 α R ω I 1 exp ( - α L ) [ 1 - exp ( - α L ) ] ,
χ Th ( 3 ) = d n d T 4 3 n 2 c 0 ρ α τ Φ C p ,
d n d T ω ρ c C p
χ iso ( 3 ) E 2 = 2 n c Δ α ω .

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