Differential-equation approach to the trapping of optical excitation in the diffusion limit

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Abstract
We derive a differential equation whose solution determines the Laplace transform of the normalized intensity of optical fluorescence in the presence of traps. The calculation applies to the diffusion limit where there is a large number of donors in the sphere of influence of a small number of randomly distributed acceptors. The asymptotic decay rate is computed for certain model donor-acceptor transfer rates and is verified by making a connection with the diffusion model of Yokota and Tanimoto. Numerical results are presented for a model characterizing dipole-dipole transfer in crystalline materials.

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