Abstract

Efficient continuous resonant frequency mixing ω4 = ω1ω2 + ω3 in Na2 has been realized. A bichromatic field (λ1 = 488 nm, λ2 = 525 nm), generated by an Ar+-laser-pumped Na2 Raman laser, and radiation at λ3 = 655 nm from a dye laser interact resonantly with corresponding transitions X1g+(υ=3,J=43)B1Πu(6, 43) → X1g+(13,43)A1g+(24,44) in a test Na2 heat pipe. For input powers of 200, 25, and 400 mW an output beam of as much as 0.2 mW at λ4 = 599 nm has been observed. Measured parameter dependences indicate an influence of interference effects. This is directly related to the discussion of lasing without inversion.

© 1996 Optical Society of America

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  1. V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).
  2. L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
    [CrossRef]
  3. R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
    [CrossRef]
  4. A. Timmermann, R. Wallenstein, Opt. Lett. 8, 517 (1983).
    [CrossRef] [PubMed]
  5. A. B. Budnitskii, A. K. Popov, Opt. Spektrosk. 29, 1032 (1970).
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    [CrossRef]
  7. G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
    [CrossRef]
  8. O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 523 (1990).
    [CrossRef] [PubMed]
  9. B. Wellegehausen, IEEE J. Quantum Electron. QE-15, 1108 (1979).
    [CrossRef]
  10. T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.
  11. K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
    [CrossRef]
  12. B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
    [CrossRef]

1992 (1)

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

1990 (1)

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 523 (1990).
[CrossRef] [PubMed]

1984 (1)

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

1983 (1)

1979 (1)

B. Wellegehausen, IEEE J. Quantum Electron. QE-15, 1108 (1979).
[CrossRef]

1978 (1)

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

1977 (2)

M. E. Kaminsky, J. Chem. Phys. 66, 4951 (1977); P. Kusch, M. M. Hessel, J. Chem. Phys. 68, 2591 (1978).
[CrossRef]

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

1976 (1)

V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).

1975 (1)

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

1970 (1)

A. B. Budnitskii, A. K. Popov, Opt. Spektrosk. 29, 1032 (1970).

Alzetta, G.

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

Bjorkholm, J. E.

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

Bjorklund, G. C.

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

Bolotskikh, L. P.

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

Budnitskii, A. B.

A. B. Budnitskii, A. K. Popov, Opt. Spektrosk. 29, 1032 (1970).

Chebotaev, V. P.

V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).

Dernier, M.

T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.

Economou, N. P.

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

Freeman, R. R.

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

Friede, D.

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

Gozzini, A.

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

Höpe, A.

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

Kaminsky, M. E.

M. E. Kaminsky, J. Chem. Phys. 66, 4951 (1977); P. Kusch, M. M. Hessel, J. Chem. Phys. 68, 2591 (1978).
[CrossRef]

Klement’ev, V. M.

V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).

Kocharovskaya, O.

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 523 (1990).
[CrossRef] [PubMed]

Liao, P. F.

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

Mandel, P.

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 523 (1990).
[CrossRef] [PubMed]

Matyugin, Yu. A.

V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).

Moi, L.

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

Müller-Wirts, T.

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.

Orriols, G.

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

Podavalova, O. P.

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

Popov, A. K.

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

A. B. Budnitskii, A. K. Popov, Opt. Spektrosk. 29, 1032 (1970).

T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.

Rittner, K.

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

Stephan, K. H.

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

Timmermann, A.

Vysotin, A. L.

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

Wallenstein, R.

Wellegehausen, B.

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

B. Wellegehausen, IEEE J. Quantum Electron. QE-15, 1108 (1979).
[CrossRef]

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.

Welling, H.

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

Zhekde, I.

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

Appl. Phys. B (1)

L. P. Bolotskikh, A. L. Vysotin, I. Zhekde, O. P. Podavalova, A. K. Popov, Appl. Phys. B 35249 (1984).
[CrossRef]

Appl. Phys. Lett. (1)

R. R. Freeman, G. C. Bjorklund, N. P. Economou, P. F. Liao, J. E. Bjorkholm, Appl. Phys. Lett. 33739 (1978).
[CrossRef]

IEEE J. Quantum Electron. (2)

K. Rittner, A. Höpe, T. Müller-Wirts, B. Wellegehausen, IEEE J. Quantum Electron. 28, 342 (1992).
[CrossRef]

B. Wellegehausen, IEEE J. Quantum Electron. QE-15, 1108 (1979).
[CrossRef]

J. Chem. Phys. (1)

M. E. Kaminsky, J. Chem. Phys. 66, 4951 (1977); P. Kusch, M. M. Hessel, J. Chem. Phys. 68, 2591 (1978).
[CrossRef]

Nuovo Cimento B (1)

G. Alzetta, A. Gozzini, L. Moi, G. Orriols, Nuovo Cimento B 36, 5 (1975).
[CrossRef]

Opt. Commun. (1)

B. Wellegehausen, K. H. Stephan, D. Friede, H. Welling, Opt. Commun. 23, 157 (1977).
[CrossRef]

Opt. Lett. (1)

Opt. Spektrosk. (1)

A. B. Budnitskii, A. K. Popov, Opt. Spektrosk. 29, 1032 (1970).

Phys. Rev. A (1)

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 523 (1990).
[CrossRef] [PubMed]

Pis’ma Zh. Eksp. Teor. Fiz. (1)

V. M. Klement’ev, Yu. A. Matyugin, V. P. Chebotaev, Pis’ma Zh. Eksp. Teor. Fiz. 248 (1976).

Other (1)

T. Müller-Wirts, M. Dernier, A. K. Popov, B. Wellegehausen, in International Quantum Electronics Conference, Vol. 9 of OSA 1994 Technical Digest Series (Optical Society of America, Washington, D.C., 1994), paper QMG7, p. 25 ;B. Wellegehausen, T. T. Müller-Wirts, in 15th International Conference on Coherent and Nonlinear Optics, Petersburg, Russia, 1995, p. 79.

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Figures (4)

Fig. 1
Fig. 1

Potential curves of the Na2 molecule and chosen transitions. Rotational and vibrational quantum numbers, calculated vacuum wavelengths,6 and Franck-Condon factors q are given. Inset (a): principle of the double-Λ four-wave mixing scheme.

Fig. 2
Fig. 2

Experimental setup: BS, beam splitter; FWM, four-wave mixing; M’s, mirrors.

Fig. 3
Fig. 3

Output power P4 at frequency ω4 versus detuning of the dye laser (Ω3) at different detunings of the Raman laser (Ω2 ≃ Ω1). The points correspond to constant Raman laser intensity.

Fig. 4
Fig. 4

Output power P4 (yellow) as a function of input powers, (a) P4 versus P1 ( blue) at P2 = 3 and P2 = 25 mW, P3 = 400 mW. (b) P4 versus P2 (green) at P1 = 150 mW, P3 = 400 mW. (c) P4 versus P3 (red) at P1 = 150 mW, P2 = 25 mW.

Equations (1)

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χ ( 3 ) exp [ ( Ω 2 k 2 υ T ) 2 ] Re { N 2 N 3 Γ 12 [ Γ 34 + i ( Ω 3 Ω 2 ) ] } ,

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