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arXiv 2308.03462astro-ph.CO
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HI强度映射前景滤波器的广角表述

A wide-angle formulation of foreground filters for HI intensity mapping

Rahul Kothari, Roy Maartens

AI总结:

本文提出调和空间中的前景滤波器几何表述,自然包含广角效应,并推导了HI功率谱及与CMB透镜交叉功率的解析表达式,表明非对角贡献在自功率中可忽略,交叉功率仅在最大尺度有显著贡献。

摘要:

中性氢强度映射原则上可以提供快速、大体积的宇宙学巡天,其红移精度极高,可直接从成像中确定。然而,强度图受到非常强烈的前景污染的困扰。未来的巡天将需要高效的数据处理流程来去除前景并揭示宇宙学信号。预期这种清理不会在可用傅里叶空间的大部分区域移除信号,并且由于不完美清理导致的显著信号损失将局限于傅里叶空间的特定区域。这提出了一种对简化估计和快速计算有用的策略——即应用前景滤波器,避开信号损失显著的区域。标准的傅里叶空间功率谱和前景滤波器使用平天近似,因此排除了广角关联。我们在调和空间中提供了一种新的前景滤波器几何表述,它自然包含了功率谱中的所有广角效应。前景滤波导致傅里叶空间中各向同性的损失。在调和空间中,这产生了非对角关联。我们推导了广义HI功率谱及其与CMB透镜的交叉功率的解析表达式,适用于单碟和干涉仪模式巡天。我们数值上表明,非对角贡献对自功率而言可忽略不计。在交叉功率中,存在不可忽略的非对角贡献,但仅限于最大可用尺度的一小段区间。对于自功率和交叉功率,由于前景规避导致的信号损失随着多极矩(即较小尺度)的增加而减少,并且干涉仪模式中的损失等于或略大于单碟模式。我们发现单碟模式中的交叉功率在临界多极矩以下消失,...

英文摘要:

Neutral hydrogen intensity mapping can in principle deliver rapid and large-volume cosmological surveys with exquisitely accurate redshifts that are determined directly from imaging. However, intensity maps suffer from very strong foreground contamination. Future surveys will require efficient data pipelines to remove the foregrounds and reveal the cosmological signal. It is expected that this cleaning will not remove the signal in substantial parts of the available Fourier space and that significant loss of signal due to imperfect cleaning will be confined to specific regions of Fourier space. This suggests a strategy which is useful for simplified estimates and rapid computations -- i.e., to apply foreground filters that avoid the regions where loss of signal is significant. The standard Fourier-space power spectrum and foreground filters use a flat-sky approximation and thus exclude wide-angle correlations. We provide a new geometrical formulation of foreground filters in harmonic space, which naturally includes all wide-angle effects in the power spectrum. Foreground filtering leads to a loss of isotropy in Fourier space. In harmonic space this produces off-diagonal correlations. We derive analytical expressions for the generalised HI power spectrum and its cross-power with CMB lensing, for both single-dish and interferometer mode surveys. We show numerically that the off-diagonal contributions are negligible for the auto power. In the cross power, there is a non-negligible off-diagonal contribution, but only for a small interval of the largest available scales. For auto and cross power, the signal loss due to foreground avoidance decreases with increasing multipole (i.e. smaller scales), and the loss in interferometer mode is equal to, or slightly greater than, in single-dish mode. We find that the cross power in single-dish mode vanishes below a critical multipole, ...

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