Fluorescence Emission Near a Metal Surface

Let s consider an emitting dipole at a distance d from a metal surface with dielectric constant Without loss of generality we can 

Chance, Frock and Silbey [28] computed explicit expressions for the normalized decay rates near a metal surface, expanding the dipolar field in plane-waves and considering for each of them the reflection coefficients from the metal substrate  

For the reflection coefficients (fsee Sec. 1.1.2 /i and are normalized wavevectors and correspond to 

It can be shown that the apparent radiative decay rates are [28]  

These rates are named apparent because correspond only to what can be measured, collecting the light coming out above the metal substrate. Without the metal substrate all the reflection coefficients vanish and we have  

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