A New Estimator for Phase Statistics
| Autor: | Munshi, D., Takahashi, R., McEwen, J. D., Kitching, T. D., Bouchet, F. R. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | JCAP05(2022)006 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1475-7516/2022/05/006 |
| Popis: | We introduce a novel statistic to probe the statistics of phases of Fourier modes in two-dimensions (2D) for weak lensing convergence field $\kappa$. This statistic contains completely independent information compared to that contained in observed power spectrum. We compare our results against state-of-the-art numerical simulations as a function of source redshift and find good agreement with theoretical predictions. We show that our estimator can achieve better signal-to-noise compared to the commonly employed statistics known as the line correlation function (LCF). Being a two-point statistics, our estimator is also easy to implement in the presence of complicated noise and mask, and can also be generalised to higher-order. While applying this estimator for the study of lensed CMB maps, we show that it is important to include post-Born corrections in the study of statistics of phase. Comment: 18 pages, 7 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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