MARS：一种新的最大熵正则化强透镜质量重建方法
MARS: A New Maximum Entropy-Regularized Strong Lensing Mass Reconstruction Method
摘要：
自由形式的强透镜（SL）质量重建通常遭受过拟合，这表现为假阳性的小尺度波动。本文提出了一种新的自由形式的最大熵重构（${\tt MARS}$）方法，该方法不需要光迹质量（LTM）的假设。的${\tt MARS}$算法使我们能够实现良好的收敛源位置~0.001 $"$，最大限度地减少虚假的小尺度波动，并提供一个独立于初始条件的准唯一的解决方案。我们的方法进行了测试与公开可用的合成SL数据${\tt FF-SIMS}$和比较的真相表明，重建质量与那些最好的性能LTM方法在文献中发表，已被证明优于现有的自由形式的方法。在放射状肿块轮廓重建方面，我们实现了$<1$ %的协议与真理的区域限制的多个图像。最后，我们将${\tt MARS}$应用于A1689，发现SL区的星系团质量主要由以最亮星系团为中心的主晕和较弱的次级晕所控制，次级晕也与东北方向约160 kpc的亮星系团成员重合。在SL领域内，A1689的径向分布是很好地描述了Navarro-Frenk-White（NFW）与$c_{200}=5.53\pm0.77$和$r_s=538^{+90}_{-100}$ kpc的配置文件，我们没有发现证据表明A1689是过度集中。
英文摘要：
Free-form strong-lensing (SL) mass reconstructions typically suffer from overfitting, which manifest itself as false-positive small-scale fluctuations. We present a new free-form MAximum-entropy ReconStruction (${\tt MARS}$) method without the assumption that light traces mass (LTM). The ${\tt MARS}$ algorithm enables us to achieve excellent convergence in source positions ~0.001$"$, minimize spurious small-scale fluctuations, and provide a quasi-unique solution independently of initial conditions. Our method is tested with the publicly available synthetic SL data ${\tt FF-SIMS}$ and the comparison with the truth shows that the reconstruction quality is on a par with those of the best-performing LTM methods published in the literature, which have been demonstrated to outperform the existing free-form methods. In terms of the radial mass profile reconstruction, we achieve $<1$% agreements with the truth for the regions constrained by the multiple images. Finally, we apply ${\tt MARS}$ to A1689 and find that the cluster mass in the SL regime is dominated by the primary halo centered on the brightest cluster galaxy and the weaker secondary halo also coincident with the bright cluster member ~160 kpc northeast. Within the SL field, the A1689 radial profile is well-described by a Navarro-Frenk-White (NFW) profile with $c_{200}=5.53\pm0.77$ and $r_s=538^{+90}_{-100}$ kpc and we find no evidence that A1689 is over-concentrated.
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