Abstract

Four-wave mixing in a saturated gain medium has been modeled numerically, and the predictions for the reflectivity have been compared with experiments carried out in the laser-pumped dye Rhodamine 6G. It is demonstrated that the saturable absorption of the inversion laser pump has a dramatic influence on the intensity dependence of the four-wave-mixing reflectivity.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94 (1978).
    [CrossRef] [PubMed]
  2. A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
    [CrossRef]
  3. W. P. Brown, J. Opt. Soc. Am. 73, 629 (1983).
    [CrossRef]
  4. E. I. Moses, F. Y. Wu, Opt. Lett. 5, 64 (1980).
    [CrossRef] [PubMed]
  5. J. H. Kwon, S. S. Lee, Opt. Lett. 8, 428 (1983).
    [CrossRef] [PubMed]
  6. J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).
  7. J. L. Walsh, J. Reintjes, Opt. Commun. 48, 221 (1983).
    [CrossRef]
  8. J. Reintjes, L. J. Palumbo, IEEE J. Quantum Electron. QE-18, 1934 (1982).
    [CrossRef]
  9. G. P. Agrawal, M. Lax, J. Opt. Soc. Am. 71, 515 (1981).
    [CrossRef]
  10. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.
  11. P. R. Hammond, IEEE J. Quantum Electron. QE-15, 624 (1979).
    [CrossRef]
  12. L. G. Nair, Prog. Quantum Electron. 7, 153 (1982).
    [CrossRef]

1986 (1)

A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
[CrossRef]

1983 (4)

W. P. Brown, J. Opt. Soc. Am. 73, 629 (1983).
[CrossRef]

J. H. Kwon, S. S. Lee, Opt. Lett. 8, 428 (1983).
[CrossRef] [PubMed]

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

J. L. Walsh, J. Reintjes, Opt. Commun. 48, 221 (1983).
[CrossRef]

1982 (2)

J. Reintjes, L. J. Palumbo, IEEE J. Quantum Electron. QE-18, 1934 (1982).
[CrossRef]

L. G. Nair, Prog. Quantum Electron. 7, 153 (1982).
[CrossRef]

1981 (1)

1980 (1)

1979 (1)

P. R. Hammond, IEEE J. Quantum Electron. QE-15, 624 (1979).
[CrossRef]

1978 (1)

Abrams, R. L.

Agrawal, G. P.

Boyd, R. W.

A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
[CrossRef]

Brown, W. P.

Djeu, N.

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

Gaeta, A. L.

A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
[CrossRef]

Gruneisen, M. T.

A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
[CrossRef]

Hammond, P. R.

P. R. Hammond, IEEE J. Quantum Electron. QE-15, 624 (1979).
[CrossRef]

Kwon, J. H.

Lax, M.

Lee, S. S.

Lind, R. C.

Moses, E. I.

Nair, L. G.

L. G. Nair, Prog. Quantum Electron. 7, 153 (1982).
[CrossRef]

Palumbo, L. J.

J. Reintjes, L. J. Palumbo, IEEE J. Quantum Electron. QE-18, 1934 (1982).
[CrossRef]

Reintjes, J.

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

J. L. Walsh, J. Reintjes, Opt. Commun. 48, 221 (1983).
[CrossRef]

J. Reintjes, L. J. Palumbo, IEEE J. Quantum Electron. QE-18, 1934 (1982).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.

Walsh, J. L.

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

J. L. Walsh, J. Reintjes, Opt. Commun. 48, 221 (1983).
[CrossRef]

Wexler, B. L.

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

Wu, F. Y.

IEEE J. Quantum Electron. (3)

A. L. Gaeta, M. T. Gruneisen, R. W. Boyd, IEEE J. Quantum Electron. QE-22, 1095 (1986).
[CrossRef]

J. Reintjes, L. J. Palumbo, IEEE J. Quantum Electron. QE-18, 1934 (1982).
[CrossRef]

P. R. Hammond, IEEE J. Quantum Electron. QE-15, 624 (1979).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Phys. Colloq. (1)

J. Reintjes, B. L. Wexler, N. Djeu, J. L. Walsh, J. Phys. Colloq. C2, 27 (1983).

Opt. Commun. (1)

J. L. Walsh, J. Reintjes, Opt. Commun. 48, 221 (1983).
[CrossRef]

Opt. Lett. (3)

Prog. Quantum Electron. (1)

L. G. Nair, Prog. Quantum Electron. 7, 153 (1982).
[CrossRef]

Other (1)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Four-wave-mixing reflectivity as a function of the normalized intensity of the counterpropagating pump beams in a saturable gain medium for various values of the small-signal gain (α0L).

Fig. 2
Fig. 2

Four-wave-mixing reflectivity as a function of the normalized pump intensity (I/Ise). Experimental results are shown by the data points for small-signal gain α0L = 6 in Rh6G dye. The solid curve is based on standard four-wave-mixing theory, and the dashed curve is theory including inversion pump saturation and excited-state absorption.

Fig. 3
Fig. 3

Schematic model of dye absorption and emission mechanisms.

Equations (15)

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

d A 1 d z = α 1 A 1 ,
d A 2 d z = - α 2 A 2 ,
d A 3 d z = α 3 A 3 - κ A 4 * ,
d A 4 d z = - α 3 A 4 + κ A 3 * ,
α 1 ( z ) = α 0 2 [ 1 D + 1 2 I 1 ( 1 - 1 + I 1 + I 2 D ) ] ,
α 2 ( z ) = α 0 2 [ 1 D + 1 2 I 2 ( 1 - 1 + I 1 + I 2 D ) ] ,
α 3 ( z ) = α 0 2 ( 1 + I 1 + I 2 D 3 ) ,
κ ( z ) = α 0 2 [ ( I 1 I 2 ) 1 / 2 D 3 ] ,
d N 3 d t = σ a ω p N 1 I p - σ s ω p N 3 I p - σ e ω e N 3 I - N 3 τ ,
d N 3 d t = N T I p τ I sa - ( 1 + I p I sa + I I se ) N 3 τ .
α e = α e 0 1 + I / I se ,
α e 0 ( I p ) = σ e N T I p / I sa ( 1 + I p / I sa ) ,
I se = I se ( 1 + I p / I sa ) .
d I p d z = - α p I p ,
α p ( z ) = σ a N T - ( σ a + σ s - σ esa a ) N T I p / I sa ( 1 + I p / I sa ) 1 D

Metrics