Abstract

The coherent anti-Stokes Raman scattering (CARS) process with two different-color phase-fluctuating fields was studied experimentally and theoretically. It was found that the efficiency of this process depends strongly on the cross correlation between the phases of the driving fields. Depending on the detuning from Raman resonance, the CARS signal can be either enhanced or suppressed with respect to the case of uncorrelated fields.

© 1988 Optical Society of America

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References

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  1. L. A. Rahn, R. L. Farrow, R. P. Lucht, Opt. Lett. 9, 223 (1984).
    [CrossRef] [PubMed]
  2. R. J. Hall, Opt. Commun. 56, 127 (1985).
    [CrossRef]
  3. T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
    [CrossRef] [PubMed]
  4. J. Goldhar, J. R. Murray, IEEE J. Quantum Electron. QE-18, 399 (1982).
    [CrossRef]
  5. M. G. Raymer, J. Mostowski, Phys. Rev. A 24, 1980 (1981); M. G. Raymer, L. A. Westling, J. Opt. Soc. Am. B 2, 1417 (1985).
    [CrossRef]
  6. M. Trippenbach, K. Rzazewski, M. G. Raymer, J. Opt. Soc. Am. B 1, 671 (1984).
    [CrossRef]
  7. E. A. Stappaerts, W. H. Long, H. Komine, Opt. Lett. 5, 4 (1980).
    [CrossRef] [PubMed]
  8. J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).
  9. L. A. Westling, M. G. Raymer, Phys. Rev. A 32, 4835 (1987).
    [CrossRef]
  10. G. G. Lombardi, H. Injeyan, J. Opt. Soc. Am. B 3, 1461 (1986).
    [CrossRef]
  11. M. D. Duncan, R. Mahon, L. L. Tankersley, J. Reintjes, J. Opt. Soc. Am. B 5, 37 (1988).
    [CrossRef]
  12. C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988).
    [CrossRef] [PubMed]
  13. W. K. Bischel, M. J. Dyer, Phys. Rev. A 33, 3113 (1986).
    [CrossRef] [PubMed]
  14. M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
    [CrossRef] [PubMed]
  15. For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
    [CrossRef]
  16. B. J. Dalton, P. L. Knight, Opt. Commun. 42, 411 (1982).
    [CrossRef]

1988 (2)

1987 (2)

T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
[CrossRef] [PubMed]

L. A. Westling, M. G. Raymer, Phys. Rev. A 32, 4835 (1987).
[CrossRef]

1986 (2)

1985 (2)

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

R. J. Hall, Opt. Commun. 56, 127 (1985).
[CrossRef]

1984 (2)

1982 (2)

J. Goldhar, J. R. Murray, IEEE J. Quantum Electron. QE-18, 399 (1982).
[CrossRef]

B. J. Dalton, P. L. Knight, Opt. Commun. 42, 411 (1982).
[CrossRef]

1981 (1)

M. G. Raymer, J. Mostowski, Phys. Rev. A 24, 1980 (1981); M. G. Raymer, L. A. Westling, J. Opt. Soc. Am. B 2, 1417 (1985).
[CrossRef]

1980 (1)

1979 (1)

For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
[CrossRef]

Bernt, M. L.

J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).

Bischel, W. K.

W. K. Bischel, M. J. Dyer, Phys. Rev. A 33, 3113 (1986).
[CrossRef] [PubMed]

Carlsten, J. L.

For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
[CrossRef]

J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).

Dalton, B. J.

B. J. Dalton, P. L. Knight, Opt. Commun. 42, 411 (1982).
[CrossRef]

Duncan, M. D.

Dyer, M. J.

W. K. Bischel, M. J. Dyer, Phys. Rev. A 33, 3113 (1986).
[CrossRef] [PubMed]

Farrow, R. L.

Goldhar, J.

J. Goldhar, J. R. Murray, IEEE J. Quantum Electron. QE-18, 399 (1982).
[CrossRef]

Hall, R. J.

R. J. Hall, Opt. Commun. 56, 127 (1985).
[CrossRef]

Hattori, T.

T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
[CrossRef] [PubMed]

Injeyan, H.

Knight, P. L.

B. J. Dalton, P. L. Knight, Opt. Commun. 42, 411 (1982).
[CrossRef]

Kobayashi, T.

T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
[CrossRef] [PubMed]

Komine, H.

Li, Z. W.

C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988).
[CrossRef] [PubMed]

Lombardi, G. G.

Long, W. H.

Lucht, R. P.

MacPherson, D. C.

J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).

Mahon, R.

Mostowski, J.

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

M. G. Raymer, J. Mostowski, Phys. Rev. A 24, 1980 (1981); M. G. Raymer, L. A. Westling, J. Opt. Soc. Am. B 2, 1417 (1985).
[CrossRef]

For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
[CrossRef]

Murray, J. R.

J. Goldhar, J. R. Murray, IEEE J. Quantum Electron. QE-18, 399 (1982).
[CrossRef]

Radzewicz, C.

C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988).
[CrossRef] [PubMed]

Rahn, L. A.

Raymer, M. G.

C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988).
[CrossRef] [PubMed]

L. A. Westling, M. G. Raymer, Phys. Rev. A 32, 4835 (1987).
[CrossRef]

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

M. Trippenbach, K. Rzazewski, M. G. Raymer, J. Opt. Soc. Am. B 1, 671 (1984).
[CrossRef]

M. G. Raymer, J. Mostowski, Phys. Rev. A 24, 1980 (1981); M. G. Raymer, L. A. Westling, J. Opt. Soc. Am. B 2, 1417 (1985).
[CrossRef]

For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
[CrossRef]

Reintjes, J.

Rifkin, J.

J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).

Rzazewski, K.

Sobolewska, B.

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

Stappaerts, E. A.

Tankersley, L. L.

Terasaki, A.

T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
[CrossRef] [PubMed]

Trippenbach, M.

Walmsley, I. A.

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

Westling, L. A.

L. A. Westling, M. G. Raymer, Phys. Rev. A 32, 4835 (1987).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. Goldhar, J. R. Murray, IEEE J. Quantum Electron. QE-18, 399 (1982).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (2)

B. J. Dalton, P. L. Knight, Opt. Commun. 42, 411 (1982).
[CrossRef]

R. J. Hall, Opt. Commun. 56, 127 (1985).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (7)

L. A. Westling, M. G. Raymer, Phys. Rev. A 32, 4835 (1987).
[CrossRef]

T. Hattori, A. Terasaki, T. Kobayashi, Phys. Rev. A 35, 715 (1987).
[CrossRef] [PubMed]

M. G. Raymer, J. Mostowski, Phys. Rev. A 24, 1980 (1981); M. G. Raymer, L. A. Westling, J. Opt. Soc. Am. B 2, 1417 (1985).
[CrossRef]

C. Radzewicz, Z. W. Li, M. G. Raymer, Phys. Rev. A 37, 2039 (1988).
[CrossRef] [PubMed]

W. K. Bischel, M. J. Dyer, Phys. Rev. A 33, 3113 (1986).
[CrossRef] [PubMed]

M. G. Raymer, I. A. Walmsley, J. Mostowski, B. Sobolewska, Phys. Rev. A 32, 332 (1985).
[CrossRef] [PubMed]

For review of the phase-diffusion model, see M. G. Raymer, J. Mostowski, J. L. Carlsten, Phys. Rev. A 19, 2304 (1979).
[CrossRef]

Other (1)

J. Rifkin, M. L. Bernt, D. C. MacPherson, J. L. Carlsten, “Gain enhancement in an XeCl-pumped Raman amplifier,” J. Opt. Soc. Am. B (to be published).

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Figures (2)

Fig. 1
Fig. 1

Experimental setup. BS, beam splitter; DM, dichroic mirror; CF, colored-glass filter; L1–L4, lenses; ND, neutral-density filter; Cell (1), Raman generator cell; Cell (2), CARS cell; M1, M2, mirrors; M, monochromator; P, photodiode; CC, corner cube.

Fig. 2
Fig. 2

(a) Measured average anti-Stokes intensity versus the delay time τd between laser and Stokes waves. Curves 1, 2, 3, 4, 5, and 6 correspond to the detuning from Raman resonance Δ = 0, 0.59, 1.7, 2.6, 3.4, and 5.8 GHz, respectively. Raman linewidth Γ = 0.71 ± 0.03 GHz, and laser bandwidth ΓL = 5.0 ± 0.3 GHz. All curves were normalized to unity for large |τd|. (b) Theoretical dependence of anti-Stokes intensity versus the delay time τd for phase-diffusion laser light. Curves 1–6 were calculated with the parameters Γ, ΓL, and Δ the same as the experimental parameters for corresponding curves in (a).

Equations (6)

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z E AS ( t , z ) = i κ 2 E L ( t ) Q ( t ) exp ( i Δ k · z ) ,
t Q ( t ) = ( i Δ Γ ) Q ( t ) i κ 1 * E L ( t ) E S * ( t ) ,
E AS ( t , z ) = κ 1 * κ 2 z 0 t d t exp [ ( i Δ Γ ) ( t t ) ] × E L ( t ) E L ( t ) E S * ( t ) .
C ( t , t , t ) = | E L ( t ) | 2 E L ( t ) E S * ( t ) E L * ( t ) E S ( t ) .
E S ( t ) = ξ ( t τ d ) E L ( t τ d ) ,
I AS ( τ d ) = | κ 1 * κ 2 z | 2 I L 2 I S γ Γ ( Δ 2 + γ 2 ) { 1 + 2 Γ L γ ( Δ 2 + Γ 2 ) × [ ( Γ γ Δ 2 ) cos Δ | τ d | 2 Δ ( Γ + Γ L ) ] × sin Δ | τ d | ] exp ( γ | τ d | ) } ,

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