G. Toci, A. Pirri, D. Alderighi, and M. Vannini
Istituto di Fisica Applicata “Nello Carrara,” Consiglio Nazionale delle Ricerche IFAC-CNR
Via Madonna del Piano 10 C, I-50019, Sesto Fiorentino, Florence, Italy
e-mail: G.Toci@ifac.cnr.it
Received October 31, 2011; in final form, November 19, 2011
Abstract—In this work we expose a recently developed theoretical model for the analysis of the measurements
obtained with the so-called pinhole method, for the determination of the upper level lifetime in materials where
the superimposition between fluorescence and absorption spectra determines significant radiation trapping
effect. Under fairly general conditions the fluorescence decay curve after a pulsed excitation of the sample
obtained with this experimental set-up can be conveniently described by a double exponential functional form.
The faster of the two decay times is close to the intrinsic fluorescence lifetime, with a difference that can be
calculated with geometrical considerations. The theoretical results were tested with a suitably designed exper-
iment, where the upper level lifetime of the laser transition of some Yb doped samples were investigated, obtain-
ing results that are consistent with literature data and in good agreement with the theoretical results as for the
temporal dependence of the fluorescence decay.
DOI: 10.1134/S1054660X12120262
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