Separating Polarization from Noise: Comparison and Normalization of Structural Polarization Measures

Polarization of Separating Invariants

We prove a characteristic free version of Weyl’s theorem on polarization. Our result is an exact analogue of Weyl’s theorem, the difference being that our statement is about separating invariants rather than generating invariants. For the special case of finite group actions we introduce the concept of cheap polarization, and show that it is enough to take cheap polarizations of invariants of j...

Noise creates polarization artefacts.

The accuracy of calculations of both the degree and angle of polarization depend strongly on the noise in the measurements used. The noise in the measurements recorded by both camera based systems and spectrometers can lead to significant artefacts and incorrect conclusions about high degrees of polarization when in fact none exist. Three approaches are taken in this work: Firstly, the absolute...

Polarization Measures and Nature of Dark Energy

Polarization measures, on wide angular scales, together with anisotropy data, can fix DE parameters. Here we discuss the sensitivity needed to provide significant limits. Our analysis puts in evidence that a class of models predicts low correlation or anticorrelation between polarization and anisotropy at low l. This class includes open models and models with DE due to a Ratra–Peebles (RP) pote...

Estimation of Signal and Noise Parameters from Cmb Polarization Observations

We propose a technique for determination of the spectral parameters of the cosmological signal and pixel noise using observational data on CMB polarization without any additional assumptions. We introduce the notion of so called crossing points in the observational maps and derive the theoretical dependence of the total number of crossing points at different level of the polarization. Finally, ...

Polarization and Polarization Control