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International Conference on Luminescence - 1984

Fluorescence Line Narrowing in Dilute Systems with Nearest-Neighbor Transfer

David L. Huber

Published Jan 1, 1984• 0 citations
Publisher

Abstract

We outline the results of an analysis of fluorescence line narrowing1 in dilute systems. We assume that a fraction, p, of the sites on a d-dimensional lattice are occupied at random by optically active ions and that the transfer of optical excitation can only take place between ions occupying nearest-neighbor sites. The normalized intensity of the sharp line fluorescence following excitation of an inhomogeneously broadened line by a monochromatic source is equal to exp [−γRt]<P(t)>, where γR is the radiative decay rate and <P(t)> is the probability that an ion excited at t=0 is also excited at time t.2

DOI
10.1364/icol.1984.tuc1

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We outline the results of an analysis of fluorescence line narrowing1 in dilute systems. We assume that a fraction, p, of the sites on a d-dimensional lattice are occupied at random by optically active ions and that the transfer of optical excitation can only take place between ions occupying nearest-neighbor sites. The normalized intensity of the sharp line fluorescence following excitation of an inhomogeneously broadened line by a monochromatic source is equal to exp [−γRt]<P(t)>, where γR is the radiative decay rate and <P(t)> is the probability that an ion excited at t=0 is also excited at time t.2
We analyze the time development of the sharp-line fluorescence in a time-resolved fluorescent-line-narrowing experiment. The optically active ions are distributed at random on a lattice. Symmetric transfer rates are assumed which are independent of the energy mismatch between ions. We discuss a systematic expansion of fluorescent intensity in powers of the concentration ccc and present results for the c2{c}^{2}c2 term.
We analyze the early-time development of the spectral transfer of optical excitation in inhomogeneously broadened systems. Previous models for the decay of the narrow-band fluorescence are generalized to include systems with asymmetric energy-dependent transfer rates. It is assumed that the energy splittings of the ions are uncorrelated. An analogous model for the early-time development of the background fluorescence is outlined. Detailed results are presented for spectral transfer over a Gaussian line shape assuming a dipole-dipole mechanism with rates that are inversely proportional to the square of the energy mismatch. Comparison is made with the treatment of Holstein et al.
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