Abstract

A simple and highly accurate model is presented for the decay of the excited state density of randomly distributed luminescent centers (e.g., rare-earth ions or fluorescent dyes) affected by migration-assisted nonlinear quenching (e.g., upconversion or singlet–singlet annihilation). The model relates quenching efficiency, interpreted in terms of the time-dependent quenching coefficient, to parameters of underlying Förster energy transfer phenomena and to center concentration. The accuracy of the model is verified by comparison with Monte Carlo simulations. The model sets up a rigorous basis for the characterization of nonlinear quenching in Er-doped glasses and disordered organic optoelectronic materials.

© 2007 Optical Society of America

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