Classification of singular points in polarization field of CMB and eigenvectors of Stokes matrix

Abstract

Analysis of the singularities of the polarization field of CMB, where polarization is equal to zero, is presented. It is found that the classification of the singular points differs from the usual three types known in the ordinary differential equations. The new statistical properties of polarization field are discussed, and new methods to detect the presence of primordial tensor perturbations are indicated.

arXiv comment7 pages, 1 figures

References in corpus (7)

• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• An All-Sky Analysis of Polarization in the Microwave Background
• Statistics of Cosmic Microwave Background Polarization
• A CMB Polarization Primer
• The Physics of Microwave Background Anisotropies
• Measuring Polarization In Cosmic Microwave Background
• Quantifying the Topology of Large-Scale Structure

Cited by in corpus (4)

• Distribution of Singularities in the Cosmic Microwave Background Polarization
• Topological Defects in Gravitational Lensing Shear Fields
• Statistics of non-polarized points in the CMB polarization maps
• Topological properties of the Cosmic Microwave Background polarization map