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Journal of the Optical Society of America B

Phonon-induced optical dephasing in alexandrite by thermal and nonequilibrium phonons

D.M. Boye, Sara A. Majetich, John E. Rives, Richard S. Meltzer, R. M. Macfarlane

Published Jan 1, 1987• 0 citations
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Abstract

We report on the phonon-induced optical dephasing processes in the 2E-excited states of Cr3+ in BeAl2O4 (alexandrite). We obtain measurements In the presence of (1) a thermal distribution of phonons in equilibrium conditions and (2) a spectrally narrow distribution of resonant phonons in highly nonequilibrium conditions.

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Phonon-induced coherence loss (PICL) is produced by a monoenergetic nonequilibrium distribution of phonons in LaF3{\mathrm{LaF}}_{3}LaF3​:Pr3+{\mathrm{Pr}}^{3+}Pr3+. The phonons are generated by relaxation between excited states of the Pr3+{\mathrm{Pr}}^{3+}Pr3+ ion after selective excitation with a pulsed, tunable dye laser. The optical dephasing is observed from the effect on the free-induction decay of Pr3+{\mathrm{Pr}}^{3+}Pr3+ ions whose excited-state level separation is resonant with the phonons. It is shown that PICL is a sensitive detector of monoenergetic phonons, and can be used to study phonon dynamics. The observed rate of optical dephasing is reduced relative to an equivalent occupation of 23-${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ phonons produced thermally.
We demonstrate that the excitation-induced excess dephasing of photon echoes in Pr3+{\mathrm{Pr}}^{3+}Pr3+:YA1O3{\mathrm{YA}1\mathrm{O}}_{3}YA1O3​(3{(}^{3}(3H4{\mathrm{H}}_{4}H4​${\mathrm{\ensuremath{-}}}^{1}$D2{\mathrm{D}}_{2}D2​) is predominantly induced by the 51-${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ resonant phonons associated with nonradiative relaxations of the excited ions. Instantaneous diffusion via direct ion-ion coupling is found to be much less important. The dephasing mechanism discussed should be applicable to all other systems where the relaxation of excited states involves nonradiative processes.
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A number of optical techniques have been developed in recent years which have been applied to study the dynamics of high frequency phonons. Monoenergetic phonons were generated by spin-lattice relaxation between two electronically excited states of an impurity ion. Resonant trapping provided the means to detect these phonons with good temporal resolution. VSPS was used to detect high frequency phonons over a wide frequency range with excellent temporal, spectral and spatial resolution. The life-time of a monoenergetic non-equilibrium distribution of phonons was determined by the observation of optical dephasing, using free induction decay(FID), which results from phonon induced coherence loss(PICOLO). Non-resonant fluorescence line narrowing(FLN) techniques provided a means to determine the spectral distribution of non-equilibrium phonons generated by spin lattice relaxation. Keywords: Phonons; Phonon decay; Coherent phonon generation; Phonon spectroscopy; High frequency phonons and Monoenergetic phonons.