论文标题
21厘米辐射背景的三维弱重力镜头
Three-dimensional weak gravitational lensing of the 21-cm radiation background
论文作者
论文摘要
我们研究了3D螺旋透镜形式主义中21厘米辐射背景的宇宙大规模结构的弱重力镜头。详细分析了以有限分辨率，可见性和镜头术语测量的源距离之间的相互作用，并得出了所得的总协方差$ c _ {\ ell}（k，k'）$。镜头的效果通过卷积将不同的多物相关联，破坏了21 cm辐射背景的统计均匀性。可以利用这种均一性破裂来通过Quadratic估计器的方式来重建镜头场$ \ hat fart $ \ hat fartic $ \ hat fart $ \ hat fart。与实际测量过程（红移精度和可见性项）相关的效果极大地改变了总协方差$ c _ {\ ell}（k，k'）$的外基条款的值。预计检测镜头对21厘米辐射背景的效果将需要通过未来的低频无线电阵列（例如SKA调查）进行敏感研究和高分辨率观察。
We study weak gravitational lensing by the cosmic large-scale structure of the 21-cm radiation background in the 3d-weak lensing formalism. The interplay between source distance measured at finite resolution, visibility and lensing terms is analysed in detail and the resulting total covariance $C_{\ell}(k,k')$ is derived. The effect of lensing correlates different multipoles through convolution, breaking the statistical homogeneity of the 21-cm radiation background. This homogeneity breaking can be exploited to reconstruct the lensing field $\hatϕ_{\ell m}(κ)$ and noise lensing reconstruction $N_{\ell}^{\hatϕ}$ by means of quadratic estimators. The effects related to the actual measurement process (redshift precision and visibility terms) change drastically the values of the off-diagonal terms of the total covariance $C_{\ell}(k,k')$. It is expected that the detection of lensing effects on a 21-cm radiation background will require sensitive studies and high-resolution observations by future low-frequency radio arrays such as the SKA survey.
