Reconstructing the primordial spectrum with CMB temperature and polarization

Reconstructing the primordial spectrum with CMB temperature and polarization
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DOI:
10.1103/physrevd.70.103001
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发表时间:
2004-09
期刊:
影响因子:
5
通讯作者:
N. Kogo;M. Sasaki;J. Yokoyama
N. Kogo;M. Sasaki;J. Yokoyama
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Kogo;M. Sasaki;J. Yokoyama

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提出了一种利用宇宙微波背景(CMB)的温度谱和偏振谱重建原始曲率扰动P(k)功率谱的新方法。我们用几种具有非平凡特征的模拟原始光谱(包括具有振荡成分的原始光谱)对该方法进行了测试,发现在CMB数据没有观测误差的理想情况下,通过迭代过程可以以百分之几的精度重建光谱。特别是,虽然以前的“宇宙反演”方法,只使用温度波动,在一些特定的k值周围存在很大的数值误差,这些值对应于传递函数中的节点,但发现这些误差在新方法中几乎完全消失。
We develop a new method to reconstruct the power spectrum of primordial curvature perturbations P(k) by using both the temperature and polarization spectra of the cosmic microwave background (CMB). We test this method using several mock primordial spectra having nontrivial features including the one with an oscillatory component, and find that the spectrum can be reconstructed with a few percent accuracy by an iterative procedure in an ideal situation in which there is no observational error in the CMB data. In particular, although the previous 'cosmic inversion' method, which used only the temperature fluctuations, suffered from large numerical errors around some specific values of k that correspond to nodes in a transfer function, these errors are found to disappear almost completely in the new method.