M. Ducloy, J. R. Leite, and M. S. Feld, “Laser saturation spectroscopy in the time-delayed mode. Theory of optical free induction decay in coupled Doppler-broadened systems,” Phys. Rev. A 17, 623 (1978).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

M. Ducloy and M. S. Feld, “Laser-induced transients in coupled Doppler-broadened systems,” J. Phys. (Paris) Lett. 37, L173 (1976). In this paper preliminary results are given on switching on transients, but with simplified relaxation processes.

[CrossRef]

T. Hänsch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

H. G. Kuhn and E. L. Lewis, Proc. R. Soc London Ser. A 299, 423 (1967).

[CrossRef]

M. Ducloy, J. R. Leite, and M. S. Feld, “Laser saturation spectroscopy in the time-delayed mode. Theory of optical free induction decay in coupled Doppler-broadened systems,” Phys. Rev. A 17, 623 (1978).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

M. Ducloy and M. S. Feld, “Laser-induced transients in coupled Doppler-broadened systems,” J. Phys. (Paris) Lett. 37, L173 (1976). In this paper preliminary results are given on switching on transients, but with simplified relaxation processes.

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

The evolution of the shape of the population signal has been studied with a more convenient three-level system in which the common level a was the metastable state 3P0and b and c were excited levels. The coherent transient was observed as a broadening of the resonance for short time delays [M. Gorlicki, Thèse d’Etat (UniversitéParis-Nord, Paris, 1985) (to be published)]. Indeed, time resolution was not good enough to permit the observation of oscillating wings. For long delays, the broadening of the line and the growth of a background (both due to velocity-changing collisions) were studied in great detail: M. Gorlicki, A. Peuriot, and M. Dumont, J. Phys. (Paris) Lett.41, L275 (1980); M. Dumont, M. Gorlicki, and F. Manzano, Ann., Phys. (Paris) 7, 381 (1982); M. Gorlicki, Ch. Lerminiaux, and M. Dumont, Phys. Rev. Lett. 49, 1394 (1982); M. Dumont, M. Gorlicki, and Ch. Lerminiaux, in Spectral Line Shapes, K. Burnett, ed. (Walter de Gruyter, Berlin, 1983), Vol. 2, p. 881.

[CrossRef]

M. Dumont, “Velocity selective optical pumping in saturation spectroscopy: transients from populations and coherences,” J. Opt. (Paris) (to be published); “Du pompage optique à l’absorption saturée résolue en temps,” in Hommage à Alfred Kastler, F. Laloe, ed., Ann. Phys. (Paris)10(1985).

M. Ducloy, J. R. Leite, and M. S. Feld, “Laser saturation spectroscopy in the time-delayed mode. Theory of optical free induction decay in coupled Doppler-broadened systems,” Phys. Rev. A 17, 623 (1978).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

M. Ducloy and M. S. Feld, “Laser-induced transients in coupled Doppler-broadened systems,” J. Phys. (Paris) Lett. 37, L173 (1976). In this paper preliminary results are given on switching on transients, but with simplified relaxation processes.

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

The evolution of the shape of the population signal has been studied with a more convenient three-level system in which the common level a was the metastable state 3P0and b and c were excited levels. The coherent transient was observed as a broadening of the resonance for short time delays [M. Gorlicki, Thèse d’Etat (UniversitéParis-Nord, Paris, 1985) (to be published)]. Indeed, time resolution was not good enough to permit the observation of oscillating wings. For long delays, the broadening of the line and the growth of a background (both due to velocity-changing collisions) were studied in great detail: M. Gorlicki, A. Peuriot, and M. Dumont, J. Phys. (Paris) Lett.41, L275 (1980); M. Dumont, M. Gorlicki, and F. Manzano, Ann., Phys. (Paris) 7, 381 (1982); M. Gorlicki, Ch. Lerminiaux, and M. Dumont, Phys. Rev. Lett. 49, 1394 (1982); M. Dumont, M. Gorlicki, and Ch. Lerminiaux, in Spectral Line Shapes, K. Burnett, ed. (Walter de Gruyter, Berlin, 1983), Vol. 2, p. 881.

[CrossRef]

The evolution of the shape of the population signal has been studied with a more convenient three-level system in which the common level a was the metastable state 3P0and b and c were excited levels. The coherent transient was observed as a broadening of the resonance for short time delays [M. Gorlicki, Thèse d’Etat (UniversitéParis-Nord, Paris, 1985) (to be published)]. Indeed, time resolution was not good enough to permit the observation of oscillating wings. For long delays, the broadening of the line and the growth of a background (both due to velocity-changing collisions) were studied in great detail: M. Gorlicki, A. Peuriot, and M. Dumont, J. Phys. (Paris) Lett.41, L275 (1980); M. Dumont, M. Gorlicki, and F. Manzano, Ann., Phys. (Paris) 7, 381 (1982); M. Gorlicki, Ch. Lerminiaux, and M. Dumont, Phys. Rev. Lett. 49, 1394 (1982); M. Dumont, M. Gorlicki, and Ch. Lerminiaux, in Spectral Line Shapes, K. Burnett, ed. (Walter de Gruyter, Berlin, 1983), Vol. 2, p. 881.

[CrossRef]

T. Hänsch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

D. Hennecart, “Etude des transferts collisionnels de population et d’alignment à l’intérieur des configurations 2p53s et 2p53p du néon,” Thèse d’Etat (Université de Caen, Caen, France, 1982), and references therein.

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

H. G. Kuhn and E. L. Lewis, Proc. R. Soc London Ser. A 299, 423 (1967).

[CrossRef]

M. Ducloy, J. R. Leite, and M. S. Feld, “Laser saturation spectroscopy in the time-delayed mode. Theory of optical free induction decay in coupled Doppler-broadened systems,” Phys. Rev. A 17, 623 (1978).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

H. G. Kuhn and E. L. Lewis, Proc. R. Soc London Ser. A 299, 423 (1967).

[CrossRef]

The evolution of the shape of the population signal has been studied with a more convenient three-level system in which the common level a was the metastable state 3P0and b and c were excited levels. The coherent transient was observed as a broadening of the resonance for short time delays [M. Gorlicki, Thèse d’Etat (UniversitéParis-Nord, Paris, 1985) (to be published)]. Indeed, time resolution was not good enough to permit the observation of oscillating wings. For long delays, the broadening of the line and the growth of a background (both due to velocity-changing collisions) were studied in great detail: M. Gorlicki, A. Peuriot, and M. Dumont, J. Phys. (Paris) Lett.41, L275 (1980); M. Dumont, M. Gorlicki, and F. Manzano, Ann., Phys. (Paris) 7, 381 (1982); M. Gorlicki, Ch. Lerminiaux, and M. Dumont, Phys. Rev. Lett. 49, 1394 (1982); M. Dumont, M. Gorlicki, and Ch. Lerminiaux, in Spectral Line Shapes, K. Burnett, ed. (Walter de Gruyter, Berlin, 1983), Vol. 2, p. 881.

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

T. Hänsch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

M. Ducloy and M. S. Feld, “Laser-induced transients in coupled Doppler-broadened systems,” J. Phys. (Paris) Lett. 37, L173 (1976). In this paper preliminary results are given on switching on transients, but with simplified relaxation processes.

[CrossRef]

M. Ducloy, J. R. Leite, and M. S. Feld, “Laser saturation spectroscopy in the time-delayed mode. Theory of optical free induction decay in coupled Doppler-broadened systems,” Phys. Rev. A 17, 623 (1978).

[CrossRef]

J. R. Leite, R. L. Sheffield, M. Ducloy, R. D. Sharma, and M. S. Feld, “Theory of coherent three-level beats,” Phys. Rev. A 14, 1151 (1976).

[CrossRef]

J. R. Leite, M. Ducloy, A. Sachez, D. Seligon, and M. S. Feld, “Measurement of molecular alignment relaxation rate in NH3using non-Lorentzian laser-induced saturation resonances,” Phys. Rev. Lett. 39, 1465 (1977); “Laser saturation resonance in NH3observed in the time delayed mode,” Phys. Rev. Lett. 39, 1469 (1977).

[CrossRef]

H. G. Kuhn and E. L. Lewis, Proc. R. Soc London Ser. A 299, 423 (1967).

[CrossRef]

T. Hänsch, R. Keil, A. Schabert, Ch. Schmelzer, and P. Toschek, “Interaction of laser light waves by dynamic Stark splitting,” Z. Phys. 226, 293 (1969).

[CrossRef]

T. Hänsch and P. Toschek, “Theory of three-level gas laser amplifier,” Z. Phys. 236, 213 (1970).

[CrossRef]

For a complete bibliography see Ref. 4.

D. Hennecart, “Etude des transferts collisionnels de population et d’alignment à l’intérieur des configurations 2p53s et 2p53p du néon,” Thèse d’Etat (Université de Caen, Caen, France, 1982), and references therein.

The evolution of the shape of the population signal has been studied with a more convenient three-level system in which the common level a was the metastable state 3P0and b and c were excited levels. The coherent transient was observed as a broadening of the resonance for short time delays [M. Gorlicki, Thèse d’Etat (UniversitéParis-Nord, Paris, 1985) (to be published)]. Indeed, time resolution was not good enough to permit the observation of oscillating wings. For long delays, the broadening of the line and the growth of a background (both due to velocity-changing collisions) were studied in great detail: M. Gorlicki, A. Peuriot, and M. Dumont, J. Phys. (Paris) Lett.41, L275 (1980); M. Dumont, M. Gorlicki, and F. Manzano, Ann., Phys. (Paris) 7, 381 (1982); M. Gorlicki, Ch. Lerminiaux, and M. Dumont, Phys. Rev. Lett. 49, 1394 (1982); M. Dumont, M. Gorlicki, and Ch. Lerminiaux, in Spectral Line Shapes, K. Burnett, ed. (Walter de Gruyter, Berlin, 1983), Vol. 2, p. 881.

[CrossRef]

γb and γc are mainly due to velocity-changing collisions and metastability-exchange collisions. For the short time delays considered here, this can be seen as a simple relaxation, and the arrival term from this type of collision may be ignored. Nevertheless, this recovery is at the origin of the slow broadening of population signal from the lower level and of a very-long-term slow decrease of the Raman-signal amplitude. See Ref. 10.

M. Dumont, “Velocity selective optical pumping in saturation spectroscopy: transients from populations and coherences,” J. Opt. (Paris) (to be published); “Du pompage optique à l’absorption saturée résolue en temps,” in Hommage à Alfred Kastler, F. Laloe, ed., Ann. Phys. (Paris)10(1985).

See, for instance, Ref. 4. Compared with this reference, we have an additional source term from spontaneous emission in equations for σb and σc.