Optimal and fast $\mathcal {E}/\mathcal {B}$ separation with a dual messenger field
| Autor: | Benjamin D. Wandelt, Doogesh Kodi Ramanah, Guilhem Lavaux |
|---|---|
| Přispěvatelé: | Institut d'Astrophysique de Paris (IAP), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut Lagrange de Paris, Sorbonne Université (SU), Sorbonne Universités |
| Rok vydání: | 2018 |
| Předmět: |
Physics
methods: statistical Joint temperature 010308 nuclear & particles physics Cosmic microwave background Wiener filter Cosmic background radiation Astronomy and Astrophysics cosmic background radiation Polarization (waves) methods: data analysis 01 natural sciences Methods statistical symbols.namesake Space and Planetary Science cosmology: observations Conjugate gradient method 0103 physical sciences symbols [PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph] 010303 astronomy & astrophysics Algorithm Numerical stability |
| Zdroj: | Monthly Notices of the Royal Astronomical Society Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P-Oxford Open Option A, 2018, 476 (2), pp.2825-2834. ⟨10.1093/mnras/sty341⟩ Mon.Not.Roy.Astron.Soc. Mon.Not.Roy.Astron.Soc., 2018, 476 (2), pp.2825-2834. ⟨10.1093/mnras/sty341⟩ |
| ISSN: | 1365-2966 0035-8711 |
| DOI: | 10.1093/mnras/sty341 |
| Popis: | International audience; We adapt our recently proposed dual messenger algorithm for spin field reconstruction and showcase its efficiency and effectiveness in Wiener filtering polarized cosmic microwave background (CMB) maps. Unlike conventional preconditioned conjugate gradient (PCG) solvers, our preconditioner-free technique can deal with high-resolution joint temperature and polarization maps with inhomogeneous noise distributions and arbitrary mask geometries with relative ease. Various convergence diagnostics illustrate the high quality of the dual messenger reconstruction. In contrast, the PCG implementation fails to converge to a reasonable solution for the specific problem considered. The implementation of the dual messenger method is straightforward and guarantees numerical stability and convergence. We show how the algorithm can be modified to generate fluctuation maps, which, combined with the Wiener filter solution, yield unbiased constrained signal realizations, consistent with observed data. This algorithm presents a pathway to exact global analyses of high-resolution and high-sensitivity CMB data for a statistically optimal separation of $$\mathcal {E}$$ and $$\mathcal {B}$$ modes. It is therefore relevant for current and next-generation CMB experiments, in the quest for the elusive primordial $$\mathcal {B}$$-mode signal. |
| Databáze: | OpenAIRE |
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