Analysing the polarisation of the CMB with spin scale-discretised wavelets

On spin scale-discretised wavelets on the sphere for the analysis of CMB polarisation

A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin $\pm 2$ signal observed on the celestial sphere. The scalar directional scale-discretised wavelet transform on the sphere is extended to analyse signals of arbitrary spin. The resulting spin scale-discretised wavelet transform probes the directional intensity of spin signals. A procedure is presented using this new spin wavelet transform to recover E- and B-mode signals from partial-sky observations of CMB polarisation.

Directional spin wavelets on the sphere

We construct a directional spin wavelet framework on the sphere by generalising the scalar scale-discretised wavelet transform to signals of arbitrary spin. The resulting framework is the only wavelet framework defined natively on the sphere that is able to probe the directional intensity of spin signals. Furthermore, directional spin scale-discretised wavelets support the exact synthesis of a signal on the sphere from its wavelet coefficients and satisfy excellent localisation and uncorrelation properties. Consequently, directional spin scale-discretised wavelets are likely to be of use in a …

利用旋转半波片进行宇宙微波背景极化信号解调

CMB Polarisation Signal Demodulation with a Rotating Half-Wave Plate

本研究比较了CMB极化实验中CRHWP数据的两种解调方法，发现锁定技术在多数尺度上更优，但制图法在大尺度上可作交叉验证，并探讨了探测器差分的影响。