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International Conference Laser Optics (ICLO)

A New Approach to Donor-Acceptor Energy Transfer Modelling in Rare-Earth-Doped Media Using the Rate Equations

Anatoly S. Yasukevich, Natali Gusakova, Н. В. Кулешов

Published Jun 20, 2022• 0 citations
Publisher

Abstract

A generalisation of rate equations simulating donor-acceptor energy transfer and describing the time evolution of donors' and acceptors' luminescence power is proposed. These equations were supplemented by a time-dependent probability of the direct static disordered donor-acceptor energy transfer. A clear physical interpretation of the terms in the equations describing the various stages of the donor-acceptor energy transfer is given.

DOI
10.1109/iclo54117.2022.9840138

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A generalisation of rate equations simulating donor-acceptor energy transfer and describing the time evolution of donors' and acceptors' luminescence power is proposed. These equations were supplemented by a time-dependent probability of the direct static disordered donor-acceptor energy transfer. A clear physical interpretation of the terms in the equations describing the various stages of the donor-acceptor energy transfer is given.
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Estimations are made of the critical concentration of energy-acceptor ions for which the average efficiency of the excitation transfer from energy-donor ions is 1/2. This gives a measure of the activator concentration at which Inokuti and Hirayama's theory is no longer applicable. Study is also made of the dominant multipole interaction responsible for the energy transfer between rare earth ions in inorganic solids. Finally, importance of the J -selection rule in the determination of the dominant interaction term in the resonance transfer and cooperative processes is emphasized.
In this work we have developed a kinetics model of energy transfer from the host lattice to the localized core excited states of rare-earth isoelectronic structured traps (REI traps). The presence of low-lying empty core orbitals in rare-earth impurities introduces new excitation and recombination phenomena. To adequately describe the energy transfer to a REI trap, the buildup and decay kinetics of rare-earth luminescence, we consider six separate states of the REI impurity (unoccupied, electron occupied, electron occupied excited, exciton occupied, excited electron occupied, and excited exciton occupied). The energy-transfer processes occur through an Auger mechanism where the recombination energy of the bound electron with a free hole is transferred nonradiatively to the core states, or energy can be transferred from the bound exciton on a REI trap to the core states. If the initial and final states are not resonant (in both mechanisms), the energy mismatch must be accommodated by emission or absorption of phonons. Furthermore we discuss details of several quenching processes, which are incorporated into the kinetics equations. We derive two sets of differential equations for semi-insulating and n-type semiconductors governing the kinetics of rare-earth luminescence. Equations have been solved by a numerical method to derive the time dependence of the rise and decay kinetics as a function of excitation intensity. The numerically simulated luminescence rise and decay times show a good overall quantitative agreement with experimental data obtained for InP:Yb, over a wide range of generation rates.
Abstract Atomistic rate equations are represented for the transfer of optical excitation energy between donor and acceptor ions in ionic crystals. The physical assumptions which are necessary to deduce the phenomenological collective rate equations from the atomistic ones are specified. Time resolved measurements of the energy transfer from isolated Cr3+ ions to Cr3+ pairs in ruby are discussed. It is shown that, contrary to the present ideas, the collective rate equations cannot be applied in this case.