Abstract

We present an image-transmitting optical feedback system containing a phase-conjugating mirror (PCM) as an amplifying element. The PCM is based on four-wave mixing in a photorefractive BaTiO3 crystal. The ring structure constitutes a new phase-conjugate-resonator configuration with the use of the aberration-compensating properties of the phase-conjugating element. Injection of a spatially modulated beam into this active feedback system causes image-bearing oscillation. Experimental results concerning image transmission and self-oscillation are reported.

© 1988 Optical Society of America

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  1. D. P. Jablonowski, S. H. Lee, “A coherent optical feedback system for optical information processing,” Appl. Phys. 8, 51 (1975).
    [CrossRef]
  2. E. Handler, U. Röder, “Suppression of multiplicative disturbances by coherent optical feedback systems,” Opt. Commun. 23, 352 (1977).
    [CrossRef]
  3. E. Händler, U. Röder, “Flexible bandpass filtering using a coherent optical feedback technique,” Appl. Opt. 18, 2787 (1979).
    [CrossRef] [PubMed]
  4. J. Cederquist, S. H. Lee, “Coherent optical feedback for the analog solution of partial differential and integral equation,” J. Opt. Soc. Am. 70, 944 (1980).
    [CrossRef]
  5. S. H. Lee, “Optical analog solution for partial differential and integral equation,” Opt. Eng. 24, 41 (1985).
    [CrossRef]
  6. G. Häusler, N. Streibl, “Stability of spatio-temporal feedback systems,” Opt. Acta 30, 171 (1983).
    [CrossRef]
  7. M. O. Hagler, S. V. Bell, “Nyquist stability condition for laser feedback amplifier with Gaussian and Lorentzian gain profiles,” J. Opt. Soc. Am. A 3, 308 (1986).
    [CrossRef]
  8. G. Lewak, S. H. Lee, W. T. Cathey, “Solutions of linear and nonlinear equations by optical methods,” Appl. Opt. 23, 3144 (1984).
    [CrossRef]
  9. D. Z. Anderson, “Coherent optical eigenstate memory,” Opt. Lett. 11, 56 (1986).
    [CrossRef] [PubMed]
  10. B. H. Soffer, G. J. Dunning, Y. Owechko, E. Marom, “Associative holographic memory with feedback using phase-conjugate mirrors,” Opt. Lett. 11, 118 (1986); Y. Owechko, G. J. Dunning, E. Marom, B. H. Soffer, “Holographic associative memory with nonlinearities in the correlation domain,” Appl. Opt. 26, 1900 (1987).
    [CrossRef] [PubMed]
  11. A. Yariv, S.-K. Kwong, “Associative memories based on message-bearing optical modes in phase-conjugate resonators,” Opt. Lett. 11, 186 (1986).
    [CrossRef] [PubMed]
  12. A. Yariv, S.-K. Kwong, K. Kyuma, “Demonstration of an all optical associative holographic memory,” Appl. Phys. Lett. 48, 1114 (1986).
    [CrossRef]
  13. E. Marom, B. H. Soffer, U. Efron, “Pixel-by-pixel array division by optical computing,” Opt. Lett. 10, 43 (1985).
    [CrossRef] [PubMed]
  14. J. Goetz, G. Hausler, R. Sesselmann, “Television-optical operational amplifier,” Appl. Opt. 18, 2754 (1979).
    [CrossRef] [PubMed]
  15. T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
    [CrossRef]
  16. J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
    [CrossRef]
  17. B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
    [CrossRef]
  18. J. Karr, H. J. Hoffmann, “Intraresonator phase conjugation,” in Wavefront Distortions in Power Optics, M. B. Klein, ed., Proc. Soc. Photo-Opt. Instrum. Eng.293, 169 (1981).
    [CrossRef]
  19. R. A. Fischer, ed., Optical Phase Conjugation (Academic, New York, 1983), Chap. 13.
  20. J. Feinberg, R. W. Hellwarth, “Phase-conjugating mirror with continuous-wave gain,” Opt. Lett. 5, 519 (1980).
    [CrossRef] [PubMed]
  21. M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
    [CrossRef]
  22. R. K. Jain, G. J. Dunning, “Spatial and temporal properties of a continuous-wave phase-conjugate resonator based on the photorefractive crystal BaTiO3,” Opt. Lett. 7, 420 (1982).
    [CrossRef] [PubMed]
  23. G. C. Valley, G. J. Dunning, “Observation of optical chaos in a phase-conjugate resonator,” Opt. Lett. 9, 513 (1984).
    [CrossRef] [PubMed]
  24. B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
    [CrossRef]
  25. M. B. Klein, G. J. Dunning, G. C. Valley, R. C. Lind, T. R. O’Meara, “Image threshold detector using a phase-conjugate resonator in BaTiO3,” Opt. Lett. 11, 575 (1986).
    [CrossRef] [PubMed]
  26. F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
    [CrossRef]
  27. H. Raibenbach, J. P. Huignard, “Self-induced coherent oscillations with photorefractive Bi12SiO20,” Opt. Lett. 10, 137 (1985).
    [CrossRef]
  28. S. C. Sheng, A. E. Siegman, “Perturbed Gaussian modes of unbalanced antiresonant ring laser cavity,” J. Opt. Soc. Am. 66, 1032 (1976).
    [CrossRef]
  29. R. Trutna, A. E. Siegman, “Laser cavity dumping using an antiresonant ring,” IEEE J. Quantum Electron. QE-13, 955 (1977).
    [CrossRef]
  30. S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, “Phase of phase conjugation and its effect in double phase conjugate resonator,” J. Opt. Soc. Am. A 3, 157 (1986).
    [CrossRef]

1986

M. O. Hagler, S. V. Bell, “Nyquist stability condition for laser feedback amplifier with Gaussian and Lorentzian gain profiles,” J. Opt. Soc. Am. A 3, 308 (1986).
[CrossRef]

D. Z. Anderson, “Coherent optical eigenstate memory,” Opt. Lett. 11, 56 (1986).
[CrossRef] [PubMed]

B. H. Soffer, G. J. Dunning, Y. Owechko, E. Marom, “Associative holographic memory with feedback using phase-conjugate mirrors,” Opt. Lett. 11, 118 (1986); Y. Owechko, G. J. Dunning, E. Marom, B. H. Soffer, “Holographic associative memory with nonlinearities in the correlation domain,” Appl. Opt. 26, 1900 (1987).
[CrossRef] [PubMed]

A. Yariv, S.-K. Kwong, “Associative memories based on message-bearing optical modes in phase-conjugate resonators,” Opt. Lett. 11, 186 (1986).
[CrossRef] [PubMed]

A. Yariv, S.-K. Kwong, K. Kyuma, “Demonstration of an all optical associative holographic memory,” Appl. Phys. Lett. 48, 1114 (1986).
[CrossRef]

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
[CrossRef]

B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
[CrossRef]

M. B. Klein, G. J. Dunning, G. C. Valley, R. C. Lind, T. R. O’Meara, “Image threshold detector using a phase-conjugate resonator in BaTiO3,” Opt. Lett. 11, 575 (1986).
[CrossRef] [PubMed]

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, “Phase of phase conjugation and its effect in double phase conjugate resonator,” J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

1985

1984

1983

F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
[CrossRef]

G. Häusler, N. Streibl, “Stability of spatio-temporal feedback systems,” Opt. Acta 30, 171 (1983).
[CrossRef]

1982

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

R. K. Jain, G. J. Dunning, “Spatial and temporal properties of a continuous-wave phase-conjugate resonator based on the photorefractive crystal BaTiO3,” Opt. Lett. 7, 420 (1982).
[CrossRef] [PubMed]

1981

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

1980

1979

1977

E. Handler, U. Röder, “Suppression of multiplicative disturbances by coherent optical feedback systems,” Opt. Commun. 23, 352 (1977).
[CrossRef]

R. Trutna, A. E. Siegman, “Laser cavity dumping using an antiresonant ring,” IEEE J. Quantum Electron. QE-13, 955 (1977).
[CrossRef]

1976

1975

D. P. Jablonowski, S. H. Lee, “A coherent optical feedback system for optical information processing,” Appl. Phys. 8, 51 (1975).
[CrossRef]

Albers, J.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
[CrossRef]

Anderson, D. Z.

Bell, S. V.

Cathey, W. T.

Cederquist, J.

Cronin-Golomb, M.

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, “Phase of phase conjugation and its effect in double phase conjugate resonator,” J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

Dunning, G. J.

Efron, U.

Fainman, J.

J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
[CrossRef]

Feinberg, J.

Fischer, B.

B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
[CrossRef]

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, “Phase of phase conjugation and its effect in double phase conjugate resonator,” J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

Goetz, J.

Goltz, J.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

Hagler, M. O.

Handler, E.

E. Handler, U. Röder, “Suppression of multiplicative disturbances by coherent optical feedback systems,” Opt. Commun. 23, 352 (1977).
[CrossRef]

Händler, E.

Hausler, G.

Häusler, G.

G. Häusler, N. Streibl, “Stability of spatio-temporal feedback systems,” Opt. Acta 30, 171 (1983).
[CrossRef]

Heiniger, F.

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

Hellwarth, R. W.

Herden, A.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

Hoffmann, H. J.

J. Karr, H. J. Hoffmann, “Intraresonator phase conjugation,” in Wavefront Distortions in Power Optics, M. B. Klein, ed., Proc. Soc. Photo-Opt. Instrum. Eng.293, 169 (1981).
[CrossRef]

Huignard, J. P.

Jablonowski, D. P.

D. P. Jablonowski, S. H. Lee, “A coherent optical feedback system for optical information processing,” Appl. Phys. 8, 51 (1975).
[CrossRef]

Jain, R. K.

Karr, J.

J. Karr, H. J. Hoffmann, “Intraresonator phase conjugation,” in Wavefront Distortions in Power Optics, M. B. Klein, ed., Proc. Soc. Photo-Opt. Instrum. Eng.293, 169 (1981).
[CrossRef]

Klauncnik, E.

J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
[CrossRef]

Klein, M. B.

Klumb, H.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

Kwong, S.-K.

Kyuma, K.

A. Yariv, S.-K. Kwong, K. Kyuma, “Demonstration of an all optical associative holographic memory,” Appl. Phys. Lett. 48, 1114 (1986).
[CrossRef]

Laeri, F.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
[CrossRef]

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

Lee, S. H.

J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
[CrossRef]

S. H. Lee, “Optical analog solution for partial differential and integral equation,” Opt. Eng. 24, 41 (1985).
[CrossRef]

G. Lewak, S. H. Lee, W. T. Cathey, “Solutions of linear and nonlinear equations by optical methods,” Appl. Opt. 23, 3144 (1984).
[CrossRef]

J. Cederquist, S. H. Lee, “Coherent optical feedback for the analog solution of partial differential and integral equation,” J. Opt. Soc. Am. 70, 944 (1980).
[CrossRef]

D. P. Jablonowski, S. H. Lee, “A coherent optical feedback system for optical information processing,” Appl. Phys. 8, 51 (1975).
[CrossRef]

Lewak, G.

Lind, R. C.

Marom, E.

Nilsen, J.

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

O’Meara, T. R.

Owechko, Y.

Raibenbach, H.

Röder, U.

E. Händler, U. Röder, “Flexible bandpass filtering using a coherent optical feedback technique,” Appl. Opt. 18, 2787 (1979).
[CrossRef] [PubMed]

E. Handler, U. Röder, “Suppression of multiplicative disturbances by coherent optical feedback systems,” Opt. Commun. 23, 352 (1977).
[CrossRef]

Schneeberger, B.

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

Sesselmann, R.

Sheng, S. C.

Siegman, A. E.

R. Trutna, A. E. Siegman, “Laser cavity dumping using an antiresonant ring,” IEEE J. Quantum Electron. QE-13, 955 (1977).
[CrossRef]

S. C. Sheng, A. E. Siegman, “Perturbed Gaussian modes of unbalanced antiresonant ring laser cavity,” J. Opt. Soc. Am. 66, 1032 (1976).
[CrossRef]

Soffer, B. H.

Sternklar, S.

B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
[CrossRef]

Streibl, N.

G. Häusler, N. Streibl, “Stability of spatio-temporal feedback systems,” Opt. Acta 30, 171 (1983).
[CrossRef]

Trutna, R.

R. Trutna, A. E. Siegman, “Laser cavity dumping using an antiresonant ring,” IEEE J. Quantum Electron. QE-13, 955 (1977).
[CrossRef]

Tschudi, T.

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
[CrossRef]

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

Valley, G. C.

Weiss, S.

B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
[CrossRef]

White, J. O.

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

Yariv, A.

A. Yariv, S.-K. Kwong, “Associative memories based on message-bearing optical modes in phase-conjugate resonators,” Opt. Lett. 11, 186 (1986).
[CrossRef] [PubMed]

A. Yariv, S.-K. Kwong, K. Kyuma, “Demonstration of an all optical associative holographic memory,” Appl. Phys. Lett. 48, 1114 (1986).
[CrossRef]

S.-K. Kwong, A. Yariv, M. Cronin-Golomb, B. Fischer, “Phase of phase conjugation and its effect in double phase conjugate resonator,” J. Opt. Soc. Am. A 3, 157 (1986).
[CrossRef]

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

Appl. Opt.

Appl. Phys.

D. P. Jablonowski, S. H. Lee, “A coherent optical feedback system for optical information processing,” Appl. Phys. 8, 51 (1975).
[CrossRef]

Appl. Phys. Lett.

A. Yariv, S.-K. Kwong, K. Kyuma, “Demonstration of an all optical associative holographic memory,” Appl. Phys. Lett. 48, 1114 (1986).
[CrossRef]

M. Cronin-Golomb, B. Fischer, J. Nilsen, J. O. White, A. Yariv, “Laser with dynamic holographic intracavity distorsion correction capability,” Appl. Phys. Lett. 41, 219 (1982).
[CrossRef]

B. Fischer, S. Sternklar, S. Weiss, “Photorefractive oscillation with intracavity image and multimode-fiber,” Appl. Phys. Lett. 48, 1567 (1986).
[CrossRef]

IEEE J. Quantum Electron.

R. Trutna, A. E. Siegman, “Laser cavity dumping using an antiresonant ring,” IEEE J. Quantum Electron. QE-13, 955 (1977).
[CrossRef]

T. Tschudi, A. Herden, J. Goltz, H. Klumb, F. Laeri, J. Albers, “Image amplification by two- and four-wave mixing in BaTiO3photorefractive crystals,” IEEE J. Quantum Electron. QE-22, 1493 (1986).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Acta

G. Häusler, N. Streibl, “Stability of spatio-temporal feedback systems,” Opt. Acta 30, 171 (1983).
[CrossRef]

Opt. Commun.

B. Schneeberger, F. Laeri, T. Tschudi, F. Heiniger, “Image amplifier for coherent optical feedback in the 514 nm range,” Opt. Commun. 36, 107 (1981).
[CrossRef]

E. Handler, U. Röder, “Suppression of multiplicative disturbances by coherent optical feedback systems,” Opt. Commun. 23, 352 (1977).
[CrossRef]

F. Laeri, T. Tschudi, J. Albers, “Coherent cw image amplifier and oscillator using two-wave interaction in BaTiO3,” Opt. Commun. 47, 387 (1983).
[CrossRef]

Opt. Eng.

S. H. Lee, “Optical analog solution for partial differential and integral equation,” Opt. Eng. 24, 41 (1985).
[CrossRef]

J. Fainman, E. Klauncnik, S. H. Lee, “Optimal coherent image amplification by two-wave coupling in photorefractive BaTiO3,” Opt. Eng. 25, 228 (1986).
[CrossRef]

Opt. Lett.

E. Marom, B. H. Soffer, U. Efron, “Pixel-by-pixel array division by optical computing,” Opt. Lett. 10, 43 (1985).
[CrossRef] [PubMed]

D. Z. Anderson, “Coherent optical eigenstate memory,” Opt. Lett. 11, 56 (1986).
[CrossRef] [PubMed]

B. H. Soffer, G. J. Dunning, Y. Owechko, E. Marom, “Associative holographic memory with feedback using phase-conjugate mirrors,” Opt. Lett. 11, 118 (1986); Y. Owechko, G. J. Dunning, E. Marom, B. H. Soffer, “Holographic associative memory with nonlinearities in the correlation domain,” Appl. Opt. 26, 1900 (1987).
[CrossRef] [PubMed]

A. Yariv, S.-K. Kwong, “Associative memories based on message-bearing optical modes in phase-conjugate resonators,” Opt. Lett. 11, 186 (1986).
[CrossRef] [PubMed]

H. Raibenbach, J. P. Huignard, “Self-induced coherent oscillations with photorefractive Bi12SiO20,” Opt. Lett. 10, 137 (1985).
[CrossRef]

J. Feinberg, R. W. Hellwarth, “Phase-conjugating mirror with continuous-wave gain,” Opt. Lett. 5, 519 (1980).
[CrossRef] [PubMed]

M. B. Klein, G. J. Dunning, G. C. Valley, R. C. Lind, T. R. O’Meara, “Image threshold detector using a phase-conjugate resonator in BaTiO3,” Opt. Lett. 11, 575 (1986).
[CrossRef] [PubMed]

R. K. Jain, G. J. Dunning, “Spatial and temporal properties of a continuous-wave phase-conjugate resonator based on the photorefractive crystal BaTiO3,” Opt. Lett. 7, 420 (1982).
[CrossRef] [PubMed]

G. C. Valley, G. J. Dunning, “Observation of optical chaos in a phase-conjugate resonator,” Opt. Lett. 9, 513 (1984).
[CrossRef] [PubMed]

Other

J. Karr, H. J. Hoffmann, “Intraresonator phase conjugation,” in Wavefront Distortions in Power Optics, M. B. Klein, ed., Proc. Soc. Photo-Opt. Instrum. Eng.293, 169 (1981).
[CrossRef]

R. A. Fischer, ed., Optical Phase Conjugation (Academic, New York, 1983), Chap. 13.

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Figures (8)

Fig. 1
Fig. 1

Four-wave-mixing configuration with BaTiO3 crystal immersed in index matching oil for phase conjugation with high gain: BK 7, BK 7 glass prism; P1, P2, pump beams; S1, signal beam; S2, phase-conjugate signal beam.

Fig. 2
Fig. 2

Self-imaging phase-conjugate ring resonators with amplifying PCM: i1–i3, image planes; A, aperture.

Fig. 3
Fig. 3

Output of the ring PCR, obtained with plane-wave illumination.

Fig. 4
Fig. 4

Image-bearing oscillation.

Fig. 5
Fig. 5

(a) Self-oscillation pattern for the aligned optical system (self-imaging condition fullfilled). (b) Self-oscillation pattern for the misaligned optical system.

Fig. 6
Fig. 6

PCR with 4f imaging system in the feedback path: i1–i4, image planes; F, Fourier plane; L1–L3, lenses.

Fig. 7
Fig. 7

PCR using one lens for the folded 4f arrangement: Pr, prism; L1, L2, lenses; F, Fourier plane.

Fig. 8
Fig. 8

Unidirectional phase-conjugate ring resonator: PBS, polarizing beam splitter; ⊥, ‖ polarization perpendicular and parallel, respectively, to the paper plane.

Equations (3)

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

r S 1 2 = ( 2 r BS t BS r 1 r 2 ) 2 ,
U out = t 1 t 2 t BS r BS r PCM exp { i [ Φ + k ( l 1 - l 3 ) ] } U in * + r S 1 r PCM exp ( i k l 4 ) U in + r S 1 2 r PCM 2 × exp { i [ Φ + k ( l 1 - l 3 ) ] } U in * + r S 1 3 r PCM 3 exp ( i k l 4 ) U in + .
T = ( t 1 t 2 t BS r BS r PCM ) 2 ( 1 - r S 1 2 r PCM 2 ) 2 ( 1 + r S 1 2 r PCM 2 + 2 r S 1 r PCM × cos [ k ( l 1 - l 3 - l 4 ) + Φ - 2 Φ 0 ] .

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