Skip to content. | Skip to navigation

Personal tools

Navigation

You are here: Home / Submitted Papers / 2015 / Into the third dimension: stochastic measurements of Stokes parameters within the Poincaré sphere

Into the third dimension: stochastic measurements of Stokes parameters within the Poincaré sphere

Abstract

Inspired by recent use of polarimetry to study the Cosmic Microwave Background and extragalatic supernovae, a foray into the statistical properties of Stokes parameters expressed in spherical coordinates is began, allowing circular polarization and linear polarization to be treated in a unified manner. The use of spherical coordinates is quite necessary as it permits a Stokes polarization state to be expressed in terms of the customary polarization angles and degree of polarization usually needed for human interpretation. As shall be demonstrated, circular and linear polarization are not statistically independent quantities but intertwined in a way that is especially important, for instance, at low signal-to-noise. New distributions, classical estimators, and marginalizations are presented for this "three-dimensional" polarization problem including a generalization of the Rice distribution. The paper concludes with discussion regarding the potential pitfalls of a lower dimensional analysis.

Author

Quinn, Jason L.

Journal

Astronomy & Astrophysics

Paper Publication Date

November 2014

Paper Type

Astrostatistics

Filed under: