  Electron energy loss spectroscopy (EELS) and Cathodoluminescence (CL) play a
pivotal role in many of the cutting edge experiments in plasmonics. EELS and CL
experiments are usually supported by numerical simulations, which, whilst
accurate, may not provide as much physical insight as analytical calculations
do. Fully analytical solutions to EELS and CL systems in plasmonics are rare
and difficult to obtain. This paper aims to narrow this gap by introducing a
new method based on Transformation optics that allows to calculate the
quasi-static frequency and time-domain response of plasmonic particles under
electron beam excitation.
