Statistical isotropy of CMB polarization maps

Statistical isotropy of CMB polarization maps
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CMB 偏振图的统计各向同性

DOI:
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发表时间:
2006
期刊:
影响因子:
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通讯作者:
T. Souradeep
T. Souradeep
中科院分区:
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文献类型:
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作者:
S. Basak;A. Hajian;T. Souradeep

文献摘要

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我们以其最一般的形式来表示CMB各向异性图的统计各向同性。我们还提出了一种快速且与方向无关的统计方法来确定CMB偏振图中统计各向同性的偏差。对CMB偏振图进行偏离SI的统计检验的重要性不仅在于有趣的理论动机,还在于测试清理后的CMB偏振图中的观测伪像,例如来自偏振前景发射的残差。我们提出了双极功率谱(BIPS)的推广到极化映射。在WMAP 3年数据发布后,应用于观测到的CMB偏振图将很快成为可能。作为演示,我们表明,对于E偏振,该测试可以检测由于极化同步加速器前景而导致的统计各向同性的破坏。
We formulate statistical isotropy of CMB anisotropy maps in its most general form. We also present a fast and orientation independent statistical method to determine deviations from statistical isotropy in CMB polarization maps. The importance of having statistical tests of departures from SI for CMB polarization maps lies not only in interesting theoretical motivations but also in testing cleaned CMB polarization maps for observational artifacts such as residuals from polarized foreground emission. We propose a generalization of the bipolar power spectrum (BiPS) to polarization maps. Application to the observed CMB polarization maps will be soon possible after the release of WMAP 3 yr data. As a demonstration we show that for E-polarization this test can detect the breakdown of statistical isotropy due to polarized synchrotron foreground.