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Journal of Experimental and Theoretical Physics

Spiky structure of coherent emission from optically thick media

Ashat M. Basharov, G. G. Grigoryan, Nikolay V Znamenskiy, Edward A. Manykin, Yu. V. Orlov, A. Yu. Shashkov, T. G. Yukina

Published Feb 1, 2006• 10 citations
Publisher

Abstract

The spiky structure of the spontaneous emission from praseodymium ions in the LaF 3 lattice on the 3 P 0 - 3 H 6 transition under coherent pulsed excitation of the adjacent 3 H 4 - 3 P 0 transition has been studied experimentally and theoretically. The experimental results are in good agreement with the theoretical conclusions based on analysis of the emission dynamics of an excited ensemble of three-level systems in the mean field approximation. The generation of a spiky structure is interpreted as the emission of a cnoidal wave pulse. The recorded random pattern of time intervals between the spikes reflects the sensitivity of the cnoidal wave period to fluctuations in the system. The developed theory has been found to be related to models of deterministic chaotic dynamics.

DOI
10.1134/s1063776106020026

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Optics and Spectroscopy•Sep 1, 2006•7 citations
The spiky structure of the spontaneous emission from praseodymium ions in the LaF 3 lattice on the 3 P 0 - 3 H 6 transition under coherent pulsed excitation of the adjacent 3 H 4 - 3 P 0 transition has been studied experimentally and theoretically. The experimental results are in good agreement with the theoretical conclusions based on analysis of the emission dynamics of an excited ensemble of three-level systems in the mean field approximation. The generation of a spiky structure is interpreted as the emission of a cnoidal wave pulse. The recorded random pattern of time intervals between the spikes reflects the sensitivity of the cnoidal wave period to fluctuations in the system. The developed theory has been found to be related to models of deterministic chaotic dynamics.
Experimental data and theoretical model describing stochastic pulsations within oscillatory mode of superradiant emission from the LaF3 medium doped with impurity praseodymium ions are presented. The model deals with three-level system with close upper levels and reflects our experimental data on fluorescence of praseodymium ions. The mean-field approximation is used to develop the superradiance theory. In determined case basic equations of the developed model are reduced to well known Lorenz equations of deterministic chaotic dynamics.
The paper reports the experimental results on the temporal characteristics of coherent stimulated emission on the 3P0-3H6 transition of Pr3+ ion dopped into the LaF3 matrix while tuning of pumping frequency in the vicinity of the 3H4-3P0 transition. The generation pulse duration was found to be about 10 ns, and it was delayed by 3-4 ns relative to the beginning of the pumping pulse at the exact resonance. It was observed that as the detuning increased, the shape of the coherent stimulated emission pulse changed and its delay increased up to 10ns. A theoretical interpretation of the experimental results observed is proposed.
Experimental results and a theoretical model describing superradiance of praseodymium ions in the trifluoro lanthanum matrix at the 3 P 0 — 3 H 6 transition upon coherent excitation of the adjacent 3 H 4 — 3 P 0 transition are presented. It is found that when a superradiant medium is placed into a resonator, whose eigenfrequency is close to the superradiant transition ( 3 P 0 — 3 H 6 ) frequency, the superradiant pulse duration decreases and its modulation appears, which is independent of the resonator length. It is shown that these properties are qualitatively described within the framework of the mean-field model of coherent radiation of superradiant media in a resonator.
Based on the analysis of the experimental data on the observation of the fluorescence and superradiance of praseodymium ions in a matrix of lanthanum trifluoride, a model of superradiance of three-level radiators with two close upper levels is developed in the mean-field approximation and studied. The uppermost level is coherently pumped by an ultrashort pulse of electromagnetic field, after which the excitation is transferred to the close energy level, from which the superradiance transition occurs to the lower level. In limiting cases, the considered model is reduced to the known models of superradiance and describes the ordinary regimes of monopulse and multipulse (oscillatory) superradiance. However, in a certain region of parameters, the model under discussion describes such a multipulse superradiance signal in which electromagnetic field spikes composing it follow in time with random intervals and amplitudes, so that the regime of regular chaotic dynamics is demonstrated in a single superradiance signal. In a certain time interval, the proposed model can be described by the Lorenz equations with the parameters corresponding to the chaotic dynamics of spikes composing the superradiance signal. The presented results of the numerical simulation of the model equations qualitatively correspond to the picture of stochastic pulsations observed experimentally.
Experimental data and theoretical model concerning superradiant emission from the LaF3 medium doped with impurity praseodymium ions are presented in cases of free medium and when the medium is placed into resonator. The spiky 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 each channel is decreased and the modulation arises. These peculiarities of superradiance induced by the presence of resonator are explained on the basis of the developed mean-field theory.
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.