Abstract

Phase-matched four-wave mixing in sodium vapor with a helium buffer gas is carried out in a noncoplanar geometry. The directions of the four light beams remain nondegenerate even if all frequencies are equal. A sharp zero-difference frequency resonance in the intensity of the parametrically generated fourth beam by three incident beams is observed that is proportional to the square of the pressure of the buffer gas. A theoretical interpretation of this effect caused by elimination of destructive interference between two coherent pathways is presented.

© 1981 Optical Society of America

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References

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  1. T. Yajima, Opt. Commun. 14, 378 (1975).
    [CrossRef]
  2. T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
    [CrossRef]
  3. J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
    [CrossRef]
  4. P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
    [CrossRef] [PubMed]
  5. Y. Prior, Appl. Opt. 19, 1741 (1980).
    [CrossRef]
  6. J. A. Shirley, R. J. Hall, A. C. Eckbreth, Opt. Lett. 5, 380 (1980).
    [CrossRef] [PubMed]
  7. Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).
  8. N. Bloembergen, Y. R. Shen, Phys. Rev. 133, A37 (1964).
    [CrossRef]
  9. N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).
  10. S. A. J. Druet et al., Phys. Rev. A 18, 1529 (1978).
    [CrossRef]
  11. N. Bloembergen, in Laser Spectroscopy IV, H. Walther, K. W. Rothe, eds. (Springer-Verlag, Berlin, 1979), p. 340.

1980 (2)

1978 (5)

N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).

S. A. J. Druet et al., Phys. Rev. A 18, 1529 (1978).
[CrossRef]

T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
[CrossRef]

J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
[CrossRef]

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
[CrossRef] [PubMed]

1975 (1)

T. Yajima, Opt. Commun. 14, 378 (1975).
[CrossRef]

1964 (1)

N. Bloembergen, Y. R. Shen, Phys. Rev. 133, A37 (1964).
[CrossRef]

Bloembergen, N.

N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).

N. Bloembergen, Y. R. Shen, Phys. Rev. 133, A37 (1964).
[CrossRef]

Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).

N. Bloembergen, in Laser Spectroscopy IV, H. Walther, K. W. Rothe, eds. (Springer-Verlag, Berlin, 1979), p. 340.

Bloom, D. M.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
[CrossRef] [PubMed]

Bogdan, A. R.

Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).

Dagenais, M.

Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).

Druet, S. A. J.

S. A. J. Druet et al., Phys. Rev. A 18, 1529 (1978).
[CrossRef]

Eckbreth, A. C.

Economou, N. P.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
[CrossRef] [PubMed]

Hall, R. J.

Ishida, Y.

T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
[CrossRef]

Lee, J. H.

J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
[CrossRef]

Levenson, M. D.

J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
[CrossRef]

Liao, P. F.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
[CrossRef] [PubMed]

Lotem, H.

N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).

Lynch, R. T.

N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).

Prior, Y.

Y. Prior, Appl. Opt. 19, 1741 (1980).
[CrossRef]

Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).

Shen, Y. R.

N. Bloembergen, Y. R. Shen, Phys. Rev. 133, A37 (1964).
[CrossRef]

Shirley, J. A.

Song, J. J.

J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
[CrossRef]

Souma, H.

T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
[CrossRef]

Yajima, T.

T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
[CrossRef]

T. Yajima, Opt. Commun. 14, 378 (1975).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813 (1978); Opt. Lett. 2, 58 (1978).
[CrossRef] [PubMed]

Indian J. Pure Appl. Phys. (1)

N. Bloembergen, H. Lotem, R. T. Lynch, Indian J. Pure Appl. Phys. 16, 151 (1978).

Opt. Commun. (1)

T. Yajima, Opt. Commun. 14, 378 (1975).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. (1)

N. Bloembergen, Y. R. Shen, Phys. Rev. 133, A37 (1964).
[CrossRef]

Phys. Rev. A (3)

S. A. J. Druet et al., Phys. Rev. A 18, 1529 (1978).
[CrossRef]

T. Yajima, H. Souma, Y. Ishida, Phys. Rev. A 17, 324 (1978).
[CrossRef]

J. J. Song, J. H. Lee, M. D. Levenson, Phys. Rev. A 17, 1439 (1978).
[CrossRef]

Other (2)

Y. Prior, A. R. Bogdan, M. Dagenais, N. Bloembergen, Phys. Rev. Lett., to be published (1981).

N. Bloembergen, in Laser Spectroscopy IV, H. Walther, K. W. Rothe, eds. (Springer-Verlag, Berlin, 1979), p. 340.

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Figures (2)

Fig. 1
Fig. 1

The noncoplanar geometry (sometimes6 denoted as folded boxcars) for four-wave mixing with (nearly) degenerate frequencies.

Fig. 2
Fig. 2

(a) Pressure-induced degenerate frequency resonances. (b) Pressure dependence of the four-wave mixing signal at the degenerate resonance.

Equations (3)

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χ ( 3 ) [ 2 ω 1 + ω 2 , ω 1 , ω 1 , ω 2 ] = N | μ b a | 4 4 ћ 3 [ i T 2 1 + ( ω 0 ω p ) ] [ i T 1 1 + ( ω 2 ω 1 ) ] × [ 1 i T 2 1 + ω 0 ω 1 1 + i T 2 1 + ω 0 ω 2 ] .
χ ( 3 ) = N | μ b a | 4 ( 2 i T 2 1 + δ ω ) 4 ћ 3 ( ω 0 ω 12 ) 3 ( i T 1 1 + δ ω ) .
| χ ( 3 ) | 2 | 1 + i β p i T 1 1 + δ ω | 2 1 + β 2 p 2 ( δ ω ) 2

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