Statistics of dephasing perturbations and relaxational processes in a high-power optic field: application to free-induction decay
JOSA B, Vol. 3, Issue 4, pp. 587-594 (1986)
http://dx.doi.org/10.1364/JOSAB.3.000587
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Abstract
It is shown that the dependence of relaxational processes on radiation intensity associated with the finiteness of correlation time τ_{c} of relaxational perturbations is to a great extent defined by the statistics of these perturbations. Generalized master equations (GME's) that take into account the nonvanishing correlation time τ_{c} are obtained by using the characteristic operator method. With the Gaussian statistics assumption for adiabatic perturbations causing a stochastic transition-frequency modulation, these GME's are used to reveal the main features of the free-induction-decay rate dependence on radiation power. Good agreement with the experiment of DeVoe and Brewer [Phys. Rev. Lett. 50, 1263 (1983)] is obtained. Our preceding theory [Opt. Commun. 52, 279 (1984)] based on the correlation (Born) approximation closely agrees with the results of this paper at τ_{c}/T_{2} « 1 and T_{1}/T_{2} < 3.67.
© 1986 Optical Society of America
Citation
P. A. Apanasevich, S. Ya. Kilin, A. P. Nizovtsev, and N. S. Onishchenko, "Statistics of dephasing perturbations and relaxational processes in a high-power optic field: application to free-induction decay," J. Opt. Soc. Am. B 3, 587-594 (1986)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-3-4-587
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References
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- Equations (26) in the limit of t » τ_{c} were also obtained in Ref. 8 [see Eq. (9) of Ref. 8] using the second-order cumulant expansion and assumption K_{0}τ_{c} « 1. Our derivation employing the only assumption of Gaussian statistics for relaxational perturbations is free from such limitations.
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