Direct energy transfer in the diffusion case, numerically treated by the use of Green functions

Abstract

The energy decay function for an excited donor molecule surrounded by acceptors in diffusional motion is computed for a finite-size donor and arbitrary characteristics of the boundary. We evaluate the donor-acceptor---pair diffusion function via a Green-function approach for the Feynman-Kac equation in Laplace space. Quick and stable numerical solutions for the acceptor-averaged pair diffusion function, and thereby the energy decay functions, can be obtained, thus allowing model parametrization from time-resolved fluorescence measurements.