On Stokes polarimeters for high precision CMB measurements and mm Astronomy measurements

Several on-going and future experiments use a Stokes polarimeter (i.e. a rotating wave plate followed by a steady polarizer and by an unpolarized detector) to measure the small polarized component of the Cosmic Microwave Background. The expected signal is typically evaluated using the Mueller formalism. In this work we carry-out the signal evaluation taking into account the temperatures of the different optical devices present in the instrument, their non- idealities, multiple internal reflections, and reflections between different optical components. This analysis, which exploits a new description of the radiation transmitted by a half wave plate, can be used to optimize the experimental setup as well as each of its optical components. We conclude with an example of application of our analysis, studying a cryogenic polarization modulator developed for detecting the interstellar dust polarization.