Abstract

This Letter is the first report of the observation of amplified reflection and self-oscillation produced by degenerate optical four-wave mixing by using a resonantly enhanced Kerr nonlinearity in atomic sodium vapor. Phase-conjugated reflected waves with intensities 100 times greater than input-signal intensities were achieved with only 40-kW/cm2 pump intensity.

© 1978 Optical Society of America

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References

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  1. R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
    [CrossRef]
  2. R. W. Hellwarth, J. Opt. Soc. Am. 67, 1 (1977).
    [CrossRef]
  3. A. Yariv, D. M. Pepper, Opt. Lett. 1, 16 (1977).
    [CrossRef] [PubMed]
  4. D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
    [CrossRef]
  5. P. F. Liao, D. M. Bloom, N. P. Economou, to be published.
  6. P. F. Liao, G. C. Bjorklund, Phys. Rev. A 15, 2009 (1977);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
    [CrossRef]
  7. D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
    [CrossRef]
  8. R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
    [CrossRef]

1977 (4)

R. W. Hellwarth, J. Opt. Soc. Am. 67, 1 (1977).
[CrossRef]

A. Yariv, D. M. Pepper, Opt. Lett. 1, 16 (1977).
[CrossRef] [PubMed]

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

P. F. Liao, G. C. Bjorklund, Phys. Rev. A 15, 2009 (1977);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

1970 (1)

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

1966 (1)

R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
[CrossRef]

1964 (1)

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Bjorklund, G. C.

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

P. F. Liao, G. C. Bjorklund, Phys. Rev. A 15, 2009 (1977);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

Bloom, D. M.

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

P. F. Liao, D. M. Bloom, N. P. Economou, to be published.

Chiao, R. Y.

R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
[CrossRef]

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Economou, N. P.

P. F. Liao, D. M. Bloom, N. P. Economou, to be published.

Garmire, E.

R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
[CrossRef]

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Grischkowsky, D.

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

Hellwarth, R. W.

Kelley, P. L.

R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
[CrossRef]

Liao, P. F.

P. F. Liao, G. C. Bjorklund, Phys. Rev. A 15, 2009 (1977);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

P. F. Liao, D. M. Bloom, N. P. Economou, to be published.

Pepper, D. M.

Townes, C. H.

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Yariv, A.

Appl. Phys. Lett. (1)

D. M. Bloom, G. C. Bjorklund, Appl. Phys. Lett. 31, 592 (1977).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (1)

Phys. Rev. A (1)

P. F. Liao, G. C. Bjorklund, Phys. Rev. A 15, 2009 (1977);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

Phys. Rev. Lett. (3)

D. Grischkowsky, Phys. Rev. Lett. 24, 866 (1970);D. Grischowsky, J. A. Armstrong, Phys. Rev. A 6, 1566 (1972).
[CrossRef]

R. Y. Chiao, E. Garmire, C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

R. Y. Chiao, P. L. Kelley, E. Garmire, Phys. Rev. Lett. 17, 1158 (1966);R. L. Carman, R. Y. Chiao, P. L. Kelley, Phys. Rev. Lett. 17, 1281 (1966).
[CrossRef]

Other (1)

P. F. Liao, D. M. Bloom, N. P. Economou, to be published.

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Figures (3)

Fig. 1
Fig. 1

Backward-wave intensity versus laser wavelength. The intensity of the pump beams was approximately 50 kW/cm2, and the probe intensity was about 500 W/cm2. Sodium density was 3 × 1014 cm−3.

Fig. 2
Fig. 2

Signal gain versus pump intensity. Solid points are the measured gain for backward wave. Open circles are the measured gain of the transmitted probe wave. The solid (dashed) lines are theoretical fits to the transmitted (backward) wave data. Inset a: Oscilloscope traces of the input probe pulse and the backward-generated wave.

Fig. 3
Fig. 3

Backward- (image) wave versus probe (object) intensity normalized to pump intensity.

Equations (2)

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E i ( 0 ) = E o * ( 0 ) tan κ L , E o ( L ) = E o ( 0 ) sec κ L ,
κ = 2 π λ n 2 | E P | 2 ,

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