Plane Wave with a Sphere

In the presence of a continuous plane (harmonic in time) wave of amplitude 

Now we will assume in addition that the total measured fluorescence is proportional to the above volume average. This can be accomplished experimentally by suspending the fluorescent particle in an integrating enclosure and monitoring the fluorescence with an optical fiber which is pushed through a small hole in the side of the enclosure. Our interest in what follows is to use Eq. (8.4) to simulate a fluorescence excitation spectrum. 

The principal frequency dependence in Eq. (8.4) comes through the c and d coefficients. These coefficients demonstrate resonant poles at which the fields at specific locations within the particle can rise by orders of magnitude over the incident field. The wave vector values at which this occurs can be easily found by examining the form of the coefficients  

---