## 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*

*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*

_{c}*τ*

*/*

_{c}*T*

_{2}≪ 1 and

*T*

_{1}/

*T*

_{2}< 3.67.

© 1986 Optical Society of America

**History**

Original Manuscript: August 28, 1985

Manuscript Accepted: November 15, 1985

Published: April 1, 1986

**Citation**

P. A. Apanasevich, N. S. Onishchenko, S. Ya. Kilin, and A. P. Nizovtsev, "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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- It should be noted that Eq. (24) differs from the expression for Dw(t) that could be obtained from Eq. (7) by using the second-order cumulant expansion by the total time ordering. For the general explanation of the second-order cumulant-expansion procedure, see, e.g., N. G. Van Kampen, in Fundamental Problems in Statistical Mechanics III, E. G. D. Cohen, ed. (North-Holland, Amsterdam, 1975), p. 257–276. For its application to coherent optical transients, see E. Hanamura, J. Phys. Soc. Jpn. 52, 2258–2266 (1983) and also Refs. 8 and 10. [CrossRef]
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- R. Boscaino, F. M. Gelardi, G. Messina, “Second-harmonic free-induction decay in a two-level spin system,” Phys. Rev. A 28, 495–497 (1983). [CrossRef]

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