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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Phase memory under the development of optical instability

Ashat M. Basharov, Nikolay V Znamenskiy

Published Apr 6, 2007• 0 citations
Publisher

Abstract

Regularities of the optical coherence transformation in three-level systems, resulting from instability development and superradiance, are considered. It is shown that the superradiance eliminates optical coherence on the adjacent optically allowed transitions and induces optical coherence on the optically forbidden transition. This, in turn, makes it possible to observe new effects of photon-echo type. In such a way the known cases of supperradiant emission from the LaF3:Pr3+ medium admit the described phase memory effect.

DOI
10.1117/12.740179

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Regularities of the optical coherence transformation in three-level systems, resulting from instability development and superradiance, are considered. It is shown that the superradiance eliminates optical coherence on the adjacent optically allowed transitions and induces optical coherence on the optically forbidden transition. This, in turn, makes it possible to observe new effects of photon-echo type. In such a way the known cases of supperradiant emission from the LaF3:Pr3+ medium admit the described phase memory effect.
A new type of three-level photon echo has been predicted and analytically described. In contrast to the conventional three-level echo, whose formation involves three resonant ultrashort excitation pulses spaced in time, two of which are resonant to different optically allowed and adjacent transitions with different frequencies, the echo predicted arises under the conditions of formation of the conventional two-pulse echo and requires only two pump pulses of the same frequency. A theory is developed for the conditions of experiments on generation of a superradiance pulse at the 3 P 0-3 H 6 transition in impurity praseodymium ions in the LaF3 matrix upon ultrashort coherent excitation of the adjacent optically allowed 3 H 4-3 P 0 transition in praseodymium. It is shown that the superradiance pulse after its deexcitation does not polarize the medium at the 3 P 0-3 H 6 generation transition and completely eliminates polarization at the 3 H 4-3 P 0 excitation transition. However, simultaneously, the superradiance pulse transfers the optical coherence from the excitation transition to the optically forbidden 3 H 6-3 H 4 transition. Thus, the phase memory about the effect of the excitation superradiance pulse is retained in the medium within a time interval that is shorter than the irreversible relaxation time of the optically forbidden transition.
Experimental data concerning superradiant emission from the LaF 3 medium doped with impurity praseodymium ions are presented in the cases of a free medium and when the medium is placed into an optical resonator. The spike structure of superradiance is registered and studied. When the medium is placed inside a cavity, a new channel of energy removal by superradiance related to the cavity mode appears; the old noncavity channels are preserved. The duration of superradiance in the cavity channel is decreased, and regular modulation arises. These peculiarities of superradiance induced by the presence of an optical resonator are explained.
The decoherence times of orthogonally phased components of the optical transition dipole moment in a two-level system have been observed to differ by an order of magnitude. This phase anisotropy is observed in coherent transient experiments where an optical driving field is present during extended periods of decoherence. The decoherence time of the component of the dipole moment in phase with the driving field is extended compared to T2,{T}_{2},T2​, obtained from two-pulse photon echoes, in analogy with the spin locking technique of NMR. This is the first phase-dependent investigation of optical decoherence in the presence of a driving field.