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Soviet Journal of Quantum Electronics

Cooperative process in Y3Al5O12:Er3+crystals

V I Zhekov, T. M. Murina, Alexander M. Prokhorov, М. И. Студеникин, Serban Paul Georgescu, Voicu Lupei, Ioan Ursu

Published Feb 28, 1986• 67 citations
Publisher

Abstract

Measurements were made of the rate constants of transfer of the excitation energy by the interaction between Er 3+ ions excited to 4 I 11/2,13/2 states in Y 3 Al 5 O 12 crystals. The constants were used to determine the influence of the cooperative processes on lasing of an Y 3 Al 5 O 12 :Er 3+ crystal as a result of the 4 I 11/2 – 4 I 13/2 transition.

DOI
10.1070/qe1986v016n02abeh005773

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Measurements were made of the rate constants of transfer of the excitation energy by the interaction between Er 3+ ions excited to 4 I 11/2,13/2 states in Y 3 Al 5 O 12 crystals. The constants were used to determine the influence of the cooperative processes on lasing of an Y 3 Al 5 O 12 :Er 3+ crystal as a result of the 4 I 11/2 – 4 I 13/2 transition.
An investigation was made of the kinetics of the luminescence due to 4 I 11/2 → 4 I 15/2 and 4 I 13/2 → 4 I 15/2 transitions in the Er 3+ ion in yttrium erbium aluminum garnet crystals subjected to strong resonant excitation argon laser radiation (λ = 4880 nm). The efficiency of the cooperative process resulting in nonlinear quenching of the luminescence from the 4 I 13/2 level and sensitization of the 4 I 11/2 level was estimated. The influence of this process on the kinetics of lasing as a result of the 4 I 11/2 → 4 I 13/2 transition (λ = 2.94 μ) was analyzed.
A study was made of various cases of a population inversion between the 4I11/2 and 4I13/2 levels in Y3Al5O12:Er3+ crystals. It is found that when nonradiative transitions from the upper levels to the active levels by the mechanism of multiphonon energy transfer are more probable, laser action occurs due to transitions between the Stark components of the 4I11/2 and 4I13/2 levels with the highest oscillator strengths. If nonradiative transitions due to ion-ion interaction are more probable, a red shift is observed in the lasing spectra.
Calculations made of the rates for several processes involving interactions between rare earth ions in crystals, such as resonance energy transfer, cooperative excitation transfer and cooperative optical transitions. These processes are assumed to originate from the electric multipole interactions between the ions concerned. A tensor operator method is employed in order to take account of the individual characters of the energy levels involved in the transition. Evaluation of the typical transition probability is also made on the lowest-order parity-allowed processes in nearest neighbour ions. The rates for the resonance transfer and cooperative transfer processes thus estimated are much smaller than those obtained by Miyakawa and Dexter.
An analysis is made of the transfer of the excitation energy between trivalent rare earth ions in crystals. The multipole interaction mechanisms are considered and allowances made for the migration of the excitation energy between donor ions. The proposed model is used in estimating the probabilities of elementary energy transfer events, diffusion coefficients of excitations, and concentrations of quenching centers in the case of several rare earth ions in Y3Al5O12. A comparison is made of the experimental and calculated concentration and temperature dependences of the transfer of the excitation energy between trivalent rare earth ions in Y3Al5O12 crystals; the agreement between the calculations and the experiment is good.