We developed a specific numerical fitting procedure, based on the least
squares method, to calculate the parameters of the polarization ellipse by only
using a single polarizer and a detection device for measuring the outgoing
intensities.
The formula for the frequency shift of a plane-polarized light wave reflected
from a uniformly moving mirror is derived directly from the constant light
speed postulate and the basic principles of wave optics. Unlike the original
derivation by Einstein, our derivation does not involve Lorentz
transformations. As such, it lies within the scope of a first course in special
relativity.