D. L. Hartley, AIP Conf. Proc. 25 (1975).

C. C. Wang, L. I. Davis, Phys. Rev. Lett. 32, 349 (1974).

[CrossRef]

C. M. Penny et al., “Study of Resonance Light Scattering for Remote Optical
Probing,” NASA CA-132363
(1973).

Only the quantum mechanical density matrix formulation is
exactly correct for describing energy level populations in the transient case. This is because the
off diagonal elements of the density matrix which give rise to induced absorption and emission are
themselves time dependent. In the steady state limit or when the characteristic time for the process
considered is long compared to the relaxation time for the cross terms, the density matrix
formulation reduces to rate equations of the form of Eq. (4). See, for example, T. J. McIlrath, J. L. Carlsten, Phys. Rev. A 6, 1091 (1972).

[CrossRef]

It should be noted that the scattered radiation does not
have the simple single peaked spectrum of the lower laser intensity case but displays a complicated
three peaked spectrum. The present results, however, are concerned only with the integrated
intensity which is always proportional to the Einstein A coefficient for the transition involved.
B. R. Mollow, Phys. Rev. A 2, 76 (1970) and J. L. Carlsten, A. Szöke, Phys. Rev. Lett. 36, 667 (1976).

[CrossRef]

Only the quantum mechanical density matrix formulation is
exactly correct for describing energy level populations in the transient case. This is because the
off diagonal elements of the density matrix which give rise to induced absorption and emission are
themselves time dependent. In the steady state limit or when the characteristic time for the process
considered is long compared to the relaxation time for the cross terms, the density matrix
formulation reduces to rate equations of the form of Eq. (4). See, for example, T. J. McIlrath, J. L. Carlsten, Phys. Rev. A 6, 1091 (1972).

[CrossRef]

C. C. Wang, L. I. Davis, Phys. Rev. Lett. 32, 349 (1974).

[CrossRef]

D. L. Hartley, AIP Conf. Proc. 25 (1975).

Only the quantum mechanical density matrix formulation is
exactly correct for describing energy level populations in the transient case. This is because the
off diagonal elements of the density matrix which give rise to induced absorption and emission are
themselves time dependent. In the steady state limit or when the characteristic time for the process
considered is long compared to the relaxation time for the cross terms, the density matrix
formulation reduces to rate equations of the form of Eq. (4). See, for example, T. J. McIlrath, J. L. Carlsten, Phys. Rev. A 6, 1091 (1972).

[CrossRef]

It should be noted that the scattered radiation does not
have the simple single peaked spectrum of the lower laser intensity case but displays a complicated
three peaked spectrum. The present results, however, are concerned only with the integrated
intensity which is always proportional to the Einstein A coefficient for the transition involved.
B. R. Mollow, Phys. Rev. A 2, 76 (1970) and J. L. Carlsten, A. Szöke, Phys. Rev. Lett. 36, 667 (1976).

[CrossRef]

C. M. Penny et al., “Study of Resonance Light Scattering for Remote Optical
Probing,” NASA CA-132363
(1973).

F. Robben, “Comparison of Density and Temperature Measurement Using
Raman Scattering and Rayleigh Scattering,” SQUID Workshop on
Combustion Measurements in Jet Propulsion Systems, Purdue
University, 22–23 May 1975.

C. C. Wang, L. I. Davis, Phys. Rev. Lett. 32, 349 (1974).

[CrossRef]

C. P. Wang, Combust. Sci. Technol. 13, 211 (1976).

[CrossRef]

D. L. Hartley, AIP Conf. Proc. 25 (1975).

C. P. Wang, Combust. Sci. Technol. 13, 211 (1976).

[CrossRef]

C. M. Penny et al., “Study of Resonance Light Scattering for Remote Optical
Probing,” NASA CA-132363
(1973).

Only the quantum mechanical density matrix formulation is
exactly correct for describing energy level populations in the transient case. This is because the
off diagonal elements of the density matrix which give rise to induced absorption and emission are
themselves time dependent. In the steady state limit or when the characteristic time for the process
considered is long compared to the relaxation time for the cross terms, the density matrix
formulation reduces to rate equations of the form of Eq. (4). See, for example, T. J. McIlrath, J. L. Carlsten, Phys. Rev. A 6, 1091 (1972).

[CrossRef]

It should be noted that the scattered radiation does not
have the simple single peaked spectrum of the lower laser intensity case but displays a complicated
three peaked spectrum. The present results, however, are concerned only with the integrated
intensity which is always proportional to the Einstein A coefficient for the transition involved.
B. R. Mollow, Phys. Rev. A 2, 76 (1970) and J. L. Carlsten, A. Szöke, Phys. Rev. Lett. 36, 667 (1976).

[CrossRef]

C. C. Wang, L. I. Davis, Phys. Rev. Lett. 32, 349 (1974).

[CrossRef]

F. Robben, “Comparison of Density and Temperature Measurement Using
Raman Scattering and Rayleigh Scattering,” SQUID Workshop on
Combustion Measurements in Jet Propulsion Systems, Purdue
University, 22–23 May 1975.