论文标题

从Lyman- $α$ sorest重建重力镜头潜力

Reconstructing the Gravitational Lensing Potential from the Lyman-$α$ Forest

论文作者

Metcalf, R. Benton, Tessore, Nicolas, Croft, Rupert A. C.

论文摘要

我们展示了一种从Lyman-$α$森林数据中重建弱透镜潜力的方法。我们根据真实空间中像素之间的相关性得出了天空上镜头电位的最佳估计量。该方法有效地处理了不规则间隔的数据,调查中的孔,缺少数据和不均匀的噪声。我们证明了通过模拟光谱和弱透镜的方法的实现。结果表明,在每个光谱中的源密度为$> \ sim 0.5 $ 0.5 $和$ \ sim 200 $像素($λ/δλ= 1300 $)中,如果光谱像素在光谱像素中的相对吸收是信号命名的,则可以用高忠诚度重建镜头电位。当噪声主导每个像素中的吸收测量值时,镜头电位中的噪声较高,但是对于合理数量的源和噪声水平以及高忠诚度图,可以获得镜头势。镜头估计量也可以应用于宇宙微波背景(CMB),21 cm强度映射(IM)或任何可以准确估计源相关函数的情况。

We demonstrate a method for reconstructing the weak lensing potential from the Lyman-$α$ forest data. We derive an optimal estimator for the lensing potential on the sky based on the correlation between pixels in real space. This method effectively deals with irregularly spaced data, holes in the survey, missing data and inhomogeneous noise. We demonstrate an implementation of the method with simulated spectra and weak lensing. It is shown that with a source density of $>\sim 0.5$ per square arcminutes and $\sim 200$ pixels in each spectrum ($λ/ Δλ= 1300$) the lensing potential can be reconstructed with high fidelity if the relative absorption in the spectral pixels is signal dominated. When noise dominates the measurement of the absorption in each pixel the noise in the lensing potential is higher, but for reasonable numbers of sources and noise levels and a high fidelity map the lensing potential is obtainable. The lensing estimator could also be applied to lensing of the Cosmic Microwave Background (CMB), 21 cm intensity mapping (IM) or any case in which the correlation function of the source can be accurately estimated.

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