A classical electrodynamic near field calculation for the interaction of a Drude oscillator molecular dipole with a rough metal surface is presented. Effects of electromagnetic coupling between surface bumps (assumed to be prolate hemispheroids) and the bulk metal are included. Fluorescence lifetimes are found to be two to four orders of magnitude smaller than those predicted for a flat plane in calculations on silver, and for sufficiently short distances, an avoided crossing splitting is predicted.
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