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12.B. Calculating spontaneous emission rates
with SERate
While strictly requiring a quantum treatment the change in radiation rate can be largely captured by a
classical calculation using FDTD. Classically, the emitting atom is a radiating dipole. Thus by measuring
the power radiated by a pulsed current source inside the structure of interest and comparing it to the power
emitted by the same source in vacuum, we can extract the spontaneous emission enhancement. SERate
tackles this problem essentially ab initio, that is by direct calculation of emitted power. The Green function
techniques described in chapter 13 can also be used to predict emission rates in a less direct fashion. In
general, the SERate method is preferred if only the emission rate is required. The Green function approach
is preferred if there are additional reasons to calculate the Green function or LDOS, such as requiring the
anomalous Lamb shift of the resonant modes of the system, (see the references at the end of chapter 13).
12.B.1. Theory
To calculate the spontaneous emission rate, we need to find the energy emitted by a radiating dipole current
source.
The quantity of energy radiated can be calculated in two ways, each with their own advantages and disadvantages:
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