基于奇异微扰方法重建强引力透镜的一般方法
A general method to reconstruct strong gravitational lenses based on the singular perturbative approach
AI总结：
本文提出一种基于奇异微扰方法的全自动化两步重建方法，直接从引力弧图像重建透镜与源，避免源-透镜简并问题，并以通用项表示透镜解以支持无偏统计计算。
摘要：
探测到的引力弧系统数量正在迅速增加，并且在不久的将来其增长速度甚至更快。这些丰富的新引力弧需要开发一种纯自动化的方法来重建透镜和源。本文提出了一种基于奇异微扰方法的一般重建方法。该方法直接从引力弧图像生成透镜和源的重建。该方法完全自动化，分两步工作。第一步是基于奇异微扰方法中的圆形解生成一个猜测解。第二步是打破符号简并，并使用一般的源模型来细化解。解的细化是逐步进行的，以避免源-透镜简并问题。这种自动化方法的一个重要优势是透镜解以通用项表示，从而允许进行统计计算。考虑到不久的将来应该会有大量的透镜可用，这种计算无偏统计的能力是一个重要的优势。
英文摘要：
The number of gravitational arcs systems detected is increasing quickly and should even increase at a faster rate in the near future. This wealth of new gravitational arcs requires the development of a purely automated method to reconstruct the lens and source. A general reconstruction method based on the singular perturbative approach is proposed in this paper. This method generates a lens and source reconstruction directly from the gravitational arc image. The method is fully automated and works in two steps. The first step is to generate a guess solution based on the circular solution in the singular perturbative approach. The second step is to break the sign degeneracy and to refine the solution by using a general source model. The refinement of the solution is conducted step by step to avoid the source-lens degeneracy issue. One important asset of this automated method is that the lens solution is written in universal terms which allows the computation of statistics. Considering the large number of lenses which should be available in the near future this ability to compute un-biased statistics is an important asset.
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