We describe a general purpose method to reconstruct the intrinsic properties of sources lensed by the gravitational potential of foreground clusters of galaxies. The tool Lenstruction is implemented in the publicly available multi-purpose gravitational lensing software Lenstronomy, in order to provide easy and fast solution to this common astrophysical problem. The tool is based on forward modeling the appearance of the source in the image plane, taking into account the distortion by lensing and the instrumental point spread function (PSF). For singly-imaged sources a global lens model in the format of the Hubble Frontier Fields (HFF) lensing maps is required as a starting point. For multiply-imaged sources, the tool can also fit and apply first (deflection) second (shear, convergence) and third order (flexion) corrections to the local gravitational potential to improve the overall reconstruction, depending on the quality of the data. We illustrate the performance and features of the code with two examples of multiply-imaged systems taken from the Hubble Frontier Fields, starting from five different publicly available cluster models. We find that, after our correction, the relative magnification - and other lensing properties - between the multiple images become robustly constrained. Furthermore, we find that scatter between models of the reconstructed source size and magnitude is reduced. The code and jupyter notebooks are publicly available.

中文翻译：

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用于星团透镜源重建的多功能工具——I. 哈勃前沿场星团 MACS J0717.5+3745 中源的方法论和说明

我们描述了一种通用方法来重建由前景星系团的引力势所透镜化的源的内在特性。Lenstruction 工具在公开可用的多用途引力透镜软件 Lenstronomy 中实现，以便为这一常见的天体物理问题提供简单快速的解决方案。该工具基于对图像平面中光源外观的正向建模，同时考虑了透镜和仪器点扩散函数 (PSF) 造成的失真。对于单成像源，需要以哈勃前沿场 (HFF) 透镜图格式的全局透镜模型作为起点。对于多重成像源，该工具还可以拟合和应用第一次（偏转）第二次（剪切、收敛）和三阶（屈曲）修正局部引力势以改善整体重建，这取决于数据的质量。我们通过两个来自哈勃前沿场的多重成像系统示例来说明代码的性能和特征，从五个不同的公开可用集群模型开始。我们发现，经过我们的校正后，多幅图像之间的相对放大倍数和其他透镜特性受到了严格的约束。此外，我们发现重建源大小和幅度的模型之间的分散减少了。代码和 jupyter 笔记本是公开的。我们通过两个来自哈勃前沿场的多重成像系统示例来说明代码的性能和特征，从五个不同的公开可用集群模型开始。我们发现，经过我们的校正后，多幅图像之间的相对放大倍数和其他透镜特性受到了严格的约束。此外，我们发现重建源大小和幅度的模型之间的分散减少了。代码和 jupyter 笔记本是公开的。我们通过两个来自哈勃前沿场的多重成像系统示例来说明代码的性能和特征，从五个不同的公开可用集群模型开始。我们发现，经过我们的校正后，多幅图像之间的相对放大倍数和其他透镜特性受到了严格的约束。此外，我们发现重建源大小和幅度的模型之间的分散减少了。代码和 jupyter 笔记本是公开的。我们发现重建源大小和幅度的模型之间的分散减少了。代码和 jupyter 笔记本是公开的。我们发现重建源大小和幅度的模型之间的分散减少了。代码和 jupyter 笔记本是公开的。