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Evolution of the stimulated photon echo in optically dense media

Oleg Kh Khasanov, T. V. Smirnova

Published May 31, 1996• 0 citations

Abstract

A numerical investigation is reported of the characteristics of the stimulated photon echo (SPE) excited by a sequence of 2 n ( n ≥ 2) paired pulses in an extended medium. The evolution of these pulses during propagation is taken into account. The SPE is shown to have a threshold governed by the total initial area of the excitation pulses. Stable SPE amplification is observed when this total area exceeds the threshold value, which is π. The optimal conditions for the SPE are identical for optically thin and dense media. This is a cumulative effect. The existence of a threshold affects also the cumulative effect: the nature of the dependence of the SPE amplitude on the number of the excitation pulse pairs varies with their total initial area. The cumulative effect is observed also when the pulse areas are no longer small. The linear part of the dependence of the SPE signal on n becomes narrower when the dimensions of a sample are increased, which is a consequence of the nonlinear nature of the evolution of pulse pairs in extended media.

DOI: 10.1070/qe1996v026n05abeh000691

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 26, 1997•0 citations

A numerical investigation is reported of the characteristics of the stimulated photon echo (SPE) excited by a sequence of 2 n ( n ≥ 2) paired pulses in an extended medium. The evolution of these pulses during propagation is taken into account. The SPE is shown to have a threshold governed by the total initial area of the excitation pulses. Stable SPE amplification is observed when this total area exceeds the threshold value, which is π. The optimal conditions for the SPE are identical for optically thin and dense media. This is a cumulative effect. The existence of a threshold affects also the cumulative effect: the nature of the dependence of the SPE amplitude on the number of the excitation pulse pairs varies with their total initial area. The cumulative effect is observed also when the pulse areas are no longer small. The linear part of the dependence of the SPE signal on n becomes narrower when the dimensions of a sample are increased, which is a consequence of the nonlinear nature of the evolution of pulse pairs in extended media.

The authors derive analytical expressions for secondary echoes formed under the two-pulse excitation of the optically dense media developing McCall-Hahn area theorem for echo effects. They find that a series of self-reviving echo signals with a total area of 2$\ensuremath{\pi}$ or 0$\ensuremath{\pi}$ is excited and propagates deep in the media demonstrating strong non-linear nature of light-matter interaction at small changes of second pulse area. The pulse area approach paves the way for precise coherent spectroscopy, the study of different photon echoes and quantum control of light pulses in the optically dense media.

Summary form only given. There are several conflicting descriptions of the stimulated photon echo (SPE) process. The SPE is often described as a phased array of classical dipole radiators in which the atoms' spontaneous emission during the time of the echo radiates constructively in the direction of the echo and destructively in all other directions. A second description is that the SPE arises as a linear scattering event. In this paper we numerically and experimentally show that the SPE arises from a macroscopic polarization of the medium at a time /spl tau//sub 21/ after the third pulse and its energy is extracted from the atomic excited-state population. The energy extracted from the system manifests itself as a permanent drop in the population of excited-state atoms at the time of the echo. Such a permanent drop is not consistent with first two descriptions of the SPE process.