Abstract

The spectrum of degenerate four-wave mixing on a homogeneously broadened one-photon transition is shown to exhibit line splitting when the pump-intensity difference exceeds the saturation intensity. The splitting arises from a saturation mechanism reinforced by the pump imbalance. Experimental evidence of this effect, using SF6 as the nonlinear medium, is presented.

© 1982 Optical Society of America

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References

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  1. R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94–96 (1978); Opt. Lett. 3, 205 (1979).
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  2. T. Fu, M. Sargent, Opt. Lett. 5, 433–435 (1980).
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  3. G. P. Agrawal, IEEE J. Quantum Electron. QE-17, 2335–2340 (1981).
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  4. P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
    [CrossRef]
  5. R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
    [CrossRef]
  6. J. P. Woerdman, M. F. H. Schuurmans, Opt. Lett. 6, 239–241 (1981).
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  7. P. Aubourg, J. P. Bettini, G. P. Agrawal, P. Cottin, D. Guerin, O. Meunier, J. L. Boulnois, Opt. Lett. 6, 383–385 (1981).
    [CrossRef] [PubMed]
  8. D. G. Steel, J. F. Lam, Opt. Commun. 40, 77–80 (1981).
    [CrossRef]
  9. J. L. Boulnois, P. Aubourg, G. P. Agrawal, presented at the Lasers ’81 Conference, New Orleans, La., December 1981.
  10. J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.
  11. B. R. Mollow, Phys. Rev. A 5, 2217–2222 (1972).
    [CrossRef]
  12. D. J. Harter, R. W. Boyd, IEEE J. Quantum Electron. QE-16, 1126–1131 (1980).
    [CrossRef]
  13. D. G. Steel, R. C. Lind, Opt. Lett. 6, 587–589 (1981).
    [CrossRef] [PubMed]
  14. G. J. Dunning, D. G. Steel, IEEE J. Quantum Electron. QE-18, 3–5 (1982).
    [CrossRef]
  15. A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
    [CrossRef]
  16. N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).
  17. D. F. Watkins, J. F. Figueira, S. J. Thomas, Opt. Lett. 5, 169–171 (1980).
    [CrossRef]

1982

G. J. Dunning, D. G. Steel, IEEE J. Quantum Electron. QE-18, 3–5 (1982).
[CrossRef]

1981

1980

T. Fu, M. Sargent, Opt. Lett. 5, 433–435 (1980).
[CrossRef] [PubMed]

D. F. Watkins, J. F. Figueira, S. J. Thomas, Opt. Lett. 5, 169–171 (1980).
[CrossRef]

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

D. J. Harter, R. W. Boyd, IEEE J. Quantum Electron. QE-16, 1126–1131 (1980).
[CrossRef]

1978

R. L. Abrams, R. C. Lind, Opt. Lett. 2, 94–96 (1978); Opt. Lett. 3, 205 (1979).
[CrossRef] [PubMed]

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
[CrossRef]

1972

B. R. Mollow, Phys. Rev. A 5, 2217–2222 (1972).
[CrossRef]

1971

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Abrams, R. L.

Agrawal, G. P.

G. P. Agrawal, IEEE J. Quantum Electron. QE-17, 2335–2340 (1981).
[CrossRef]

P. Aubourg, J. P. Bettini, G. P. Agrawal, P. Cottin, D. Guerin, O. Meunier, J. L. Boulnois, Opt. Lett. 6, 383–385 (1981).
[CrossRef] [PubMed]

J. L. Boulnois, P. Aubourg, G. P. Agrawal, presented at the Lasers ’81 Conference, New Orleans, La., December 1981.

J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.

Aubourg, P.

P. Aubourg, J. P. Bettini, G. P. Agrawal, P. Cottin, D. Guerin, O. Meunier, J. L. Boulnois, Opt. Lett. 6, 383–385 (1981).
[CrossRef] [PubMed]

J. L. Boulnois, P. Aubourg, G. P. Agrawal, presented at the Lasers ’81 Conference, New Orleans, La., December 1981.

J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.

Basov, N. G.

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Bettini, J. P.

Bloch, D.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Bloom, D. M.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
[CrossRef]

Bordé, C. J.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

Boulnois, J. L.

P. Aubourg, J. P. Bettini, G. P. Agrawal, P. Cottin, D. Guerin, O. Meunier, J. L. Boulnois, Opt. Lett. 6, 383–385 (1981).
[CrossRef] [PubMed]

J. L. Boulnois, P. Aubourg, G. P. Agrawal, presented at the Lasers ’81 Conference, New Orleans, La., December 1981.

J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.

Boyd, R. W.

D. J. Harter, R. W. Boyd, IEEE J. Quantum Electron. QE-16, 1126–1131 (1980).
[CrossRef]

Camy, G.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Clairon, A.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

Cottin, P.

Ducloy, M.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Dunning, G. J.

G. J. Dunning, D. G. Steel, IEEE J. Quantum Electron. QE-18, 3–5 (1982).
[CrossRef]

Economou, N. P.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
[CrossRef]

Figueira, J. F.

Fu, T.

Guerin, D.

Harter, D. J.

D. J. Harter, R. W. Boyd, IEEE J. Quantum Electron. QE-16, 1126–1131 (1980).
[CrossRef]

Kompanetz, O.N.

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Lam, J. F.

D. G. Steel, J. F. Lam, Opt. Commun. 40, 77–80 (1981).
[CrossRef]

Letokhov, V. S.

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Liao, P. F.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
[CrossRef]

Lind, R. C.

Meunier, O.

Mollow, B. R.

B. R. Mollow, Phys. Rev. A 5, 2217–2222 (1972).
[CrossRef]

Nikitin, V. V.

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Ouhayoun, M.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

Raj, R. K.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Salomon, C.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

Sargent, M.

Schuurmans, M. F. H.

Snyder, J. J.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Steel, D. G.

G. J. Dunning, D. G. Steel, IEEE J. Quantum Electron. QE-18, 3–5 (1982).
[CrossRef]

D. G. Steel, J. F. Lam, Opt. Commun. 40, 77–80 (1981).
[CrossRef]

D. G. Steel, R. C. Lind, Opt. Lett. 6, 587–589 (1981).
[CrossRef] [PubMed]

Thomas, S. J.

Van Lerberghe, A.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.

Watkins, D. F.

Woerdman, J. P.

Appl. Phys. Lett.

P. F. Liao, D. M. Bloom, N. P. Economou, Appl. Phys. Lett. 32, 813–815 (1978).
[CrossRef]

IEEE J. Quantum Electron.

G. P. Agrawal, IEEE J. Quantum Electron. QE-17, 2335–2340 (1981).
[CrossRef]

D. J. Harter, R. W. Boyd, IEEE J. Quantum Electron. QE-16, 1126–1131 (1980).
[CrossRef]

G. J. Dunning, D. G. Steel, IEEE J. Quantum Electron. QE-18, 3–5 (1982).
[CrossRef]

Opt. Commun.

A. Clairon, A. Van Lerberghe, C. Salomon, M. Ouhayoun, C. J. Bordé, Opt. Commun. 35, 368–372 (1980).
[CrossRef]

D. G. Steel, J. F. Lam, Opt. Commun. 40, 77–80 (1981).
[CrossRef]

Opt. Lett.

Phys. Rev. A

B. R. Mollow, Phys. Rev. A 5, 2217–2222 (1972).
[CrossRef]

Phys. Rev. Lett.

R. K. Raj, D. Bloch, J. J. Snyder, G. Camy, M. Ducloy, Phys. Rev. Lett. 44, 1251–1254 (1980).
[CrossRef]

Sov. Phys. JETP

N. G. Basov, O.N. Kompanetz, V. S. Letokhov, V. V. Nikitin, Sov. Phys. JETP 32, 214–219 (1971).

Other

J. L. Boulnois, P. Aubourg, G. P. Agrawal, presented at the Lasers ’81 Conference, New Orleans, La., December 1981.

J. L. Boulnois, P. Aubourg, A. Van Lerberghe, G. P. Agrawal, presented at the Twelfth International Quantum Electronics Conference, Munich, Germany, June 1982.

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Figures (3)

Fig. 1
Fig. 1

Phase-conjugate reflectivity as a function of the laser detuning for several values of the counterpropagating pump intensities with α0L = 1.

Fig. 2
Fig. 2

Same as in Fig. 1 except that higher pump intensities are used.

Fig. 3
Fig. 3

The saturated absorption and the DFWM spectra in SF6 recorded at the pressure of 0.36 mbar. The three curves are obtained by changing the forward and backward pump intensities If and Ib: (a) If = Ib, (b) If < Ib, and (c) Ib > If.

Equations (6)

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

R = κ / [ α + g cot ( g L ) ] 2 ,
α = α 0 1 + δ 2 ( 1 + I f + I b ) [ ( 1 + I f + I b ) 2 - 4 I f I b ] 3 / 2 ,
κ = α 0 1 + δ 2 2 ( δ + i ) ( I f I b ) 1 / 2 [ ( 1 + I f + I b ) 2 - 4 I f I b ] 3 / 2 ,
I μ = I μ / [ I s ( 1 + δ 2 ) ] ,             ( μ = b , f ) .
δ = ± ( I f - I b / I s - 1 ) 1 / 2 .
I f - I b > I s .

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