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The most accessible method to measure polarization features of the CMBradiation is by means of a Stokes Polarimeter based on the rotation of an HalfWave Plate. The current observational cosmology is starting to be limited bythe presence of systematic effects. The Stokes polarimeter with a rotating HalfWave Plate (HWP) has the advantage of mitigating a long list of potentialsystematics, by modulation of the linearly polarized component of theradiation, but the presence of the rotating HWP can by itself introduce newsystematic effects, which must be under control, representing one of the mostcritical part in the design of a B-Modes experiment. In this paper we present,simulate and analyse the spurious signal arising from the precession of arotating HWP. We first find an analytical formula for the impact of thesystematic effect induced by the HWP precession on the propagating radiation,using the 3D generalization of the Muller formalism. We then perform severalnumerical simulations, showing the effect induced on the Stokes parameters bythis systematic. We also derive and discuss the impact into B-modes measured bya satellite experiment. We find the analytical formula for the Stokesparameters from a Stokes polarimeter where the HWP follows a precessionalmotion with an angle $\theta_0$. We show the result depending on the HWPinertia tensor, spinning speed and on $\theta_0$. The result of numericalsimulations is reported as a simple timeline of the electric fields. Finally,assuming to observe all the sky with a satellite mission, we analyze the effecton B-modes measurements. The effect is not negligible giving the currentB-modes experiments sensitivity, therefore it is a systematic which needs to becarefully considered for future experiments.

Systematic effects induced by Half Wave Plate precession into Cosmic Microwave Background polarization measurements