论文标题
具有最佳收敛和剪切估计器的宇宙微波背景镜头
Cosmic microwave background lensing with optimal convergence and shear estimators
论文作者
论文摘要
我们介绍了从宇宙微波背景温度场中进行镜头重建的最佳收敛和剪切估计器。这概括了挠度估计量，对非镜头模式敏感，提供内部一致性检查，并且至少始终是最佳的。以前，这些估计器仅在挤压极限中已知。本文将收敛性和剪切场分解为余弦和正弦波，然后将镜头相关函数在波幅度中扩展。最大化似然函数可为收敛和剪切场提供最佳的估计量。 该方法有可能改善宇宙微波背景极化场的透镜重建：可以最佳地组合剪切和收敛以形成偏转估计量，或单独用于分离非镜头模式，或利用非高斯二级前景的镜头。
We present the optimal convergence and shear estimators for lensing reconstruction from the cosmic microwave background temperature field. This generalizes the deflection estimator, is sensitive to non-lensing modes, provides internal consistency checks, and is always at least as optimal. Previously, these estimators were only known in the squeezed limit. This paper decomposes convergence and shear fields into cosine and sine waves and the lensed correlation function is then Taylor expanded in the wave amplitudes. Maximizing the likelihood function gives the optimal estimators for the convergence and shear fields. This method has the potential to improve the lensing reconstruction of the cosmic microwave background polarization field: the shear and convergence can be optimally combined to form a deflection estimator, or used separately to separate non-lensing modes, or utilize lensing of non-Gaussian secondary foregrounds.
