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Journal of Optical Technology

How the unequal spacing of the spectrum of a three-level system affects the formation of a stimulated photon echo

L. A. Nefedev, Э. И. Низамова, А. Р. Сахбиева

Published Oct 1, 2013• 1 citation
Publisher

Abstract

This paper discusses the correlation of inhomogeneous broadening at various frequency transitions in three-level systems and how it affects the intensity of the stimulated-photon-echo response. It is shown that the correlation coefficient of inhomogeneous broadening at two different energy transitions and the response intensity of the stimulated photon echo depends on the random interaction parameter m of an optical electron with the local field, which in turn depends on the unequal-spacing parameter of the spectrum of the system.

DOI
10.1364/jot.80.000590

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This paper discusses the correlation of inhomogeneous broadening at various frequency transitions in three-level systems and how it affects the intensity of the stimulated-photon-echo response. It is shown that the correlation coefficient of inhomogeneous broadening at two different energy transitions and the response intensity of the stimulated photon echo depends on the random interaction parameter m of an optical electron with the local field, which in turn depends on the unequal-spacing parameter of the spectrum of the system.
The correlation of inhomogeneous broadening at various frequency transitions in three-level systems is investigated, as is its effect on the intensity of a stimulated photon echo. It is shown that the correlation coefficient of inhomogeneous broadening at two different transitions and the response intensity of the stimulated photon echo depend on the parameter of the random interaction of an optical electron with a local field, as well as on the distribution width of additional frequency shifts owing to a partial fixation of transition energies. In this case, an insignificant variation of the correlation coefficient results in a considerable decrease in the response intensity.
The frequency–time correlation of inhomogeneous broadening on different transitions in a threelevel resonant medium in the presence of external spatially nonuniform electric fields is considered. It is shown that, under a certain relationship between the magnitudes of gradients of external nonuniform electric fields acting at different moments of time, it is possible to control the magnitude of the frequency–time correlation on different frequency transitions. An increase in the frequency–time correlation coefficient with certain strengths of external spatially nonuniform electric fields leads to the recovery of the phase memory of the system and an increase in the stimulated photon echo intensity.
An analytical study of the photon echoes associated with the three-level system interacting resonantly with optical pulses possessing two different frequencies is performed. It is predicted that photon echoes arise at anomalous times corresponding to the correlation between the inhomogeneous broadenings for the different spectral lines as well as at the normal time expected in a simple two-level system. This new effect is caused by the coupling of the two resonant transitions through the common energy level. Furthermore, if the particle does not have inversion symmetry, the echoes with the sum or difference frequency of the exciting optical pulses can be observed in such a system. The quantitative analysis is also given for intensities, direction of propagation and polarizations of the anomalous echoes which depend upon the exciting pulses with different frequency.
This paper discusses the data-locking efficiency when data is recorded by means of stimulated-photon echo and the dependence of the frequency–time correlation coefficient of inhomogeneous broadening in various regions of the excitation of an inhomogeneously broadened line. It is shown that the rate of change of the correlation coefficient depends on the region of excitation of the inhomogeneously broadened line, as well as on the gradients of the external spatially inhomogeneous electromagnetic fields.