arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.04109astro-ph.CO
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从$α$森林重构引力透镜势

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

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

摘要:

我们提出了一种从Lyman- $α$森林数据重建弱透镜势的方法。我们推导出一个最佳的估计透镜潜力的基础上在真实空间中的像素之间的相关性的天空。该方法有效地处理了不规则间隔数据、测量中的孔洞、缺失数据和非均匀噪声。我们演示了模拟光谱和弱透镜的方法的实施。它示出的源密度$>\sim 0.5$每平方弧分和$\sim 200$像素在每个光谱($λ/ Δλ= 1300$)的透镜电位可以重建高保真度,如果在光谱像素的相对吸收是信号为主。当噪声主导每个像素中的吸收的测量时,透镜化电位中的噪声较高,但是对于合理数量的源和噪声水平以及高保真度图,透镜化电位是可获得的。该透镜估计器还可应用于宇宙微波背景(CMB)的透镜化、21 cm强度映射(IM)或任何可以精确估计源的关联函数的情况。

英文摘要:

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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