Tomography and weak lensing statistics
Tomography and weak lensing statistics
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DOI：
10.1088/1475-7516/2014/04/004
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发表时间：
2011-12
影响因子：
6.4
通讯作者：
D. Munshi;P. Coles;M. Kilbinger
中科院分区：
文献类型：
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作者：
D. Munshi;P. Coles;M. Kilbinger
我们提供了一般的预测弱透镜映射的低阶累积量，以及在三维（3D）的层析箱和他们的放大器。使用小角度近似，我们推导出相应的一个和两个点的概率分布函数的断层图像从不同的箱和三维收敛图。弱透镜统计量的建模是通过采用一个详细的处方，涉及层次分析和对数正态分布的基本密度对比。我们研究了我们的结果对宇宙学参数和源分布的依赖性，对应于现实的调查，如LSST和DES。我们简要概述了如何光度红移信息可以纳入我们的结果。我们还展示了如何收敛映射的拓扑性质可以量化使用我们的结果。
We provide generic predictions for the lower order cumulants of weak lensing maps, and their correlators for tomographic bins as well as in three dimensions (3D). Using small-angle approximation, we derive the corresponding one- and two-point probability distribution function for the tomographic maps from different bins and for 3D convergence maps. The modelling of weak lensing statistics is obtained by adopting a detailed prescription for the underlying density contrast that involves hierarchal ansatz and lognormal distribution. We study the dependence of our results on cosmological parameters and source distributions corresponding to the realistic surveys such as LSST and DES. We briefly outline how photometric redshift information can be incorporated in our results. We also show how topological properties of convergence maps can be quantified using our results.