Combining weak and strong cluster lensing: Applications to simulations and MS 2137
J. Merten, M. Cacciato, M. Meneghetti, C. Mignone, M. Bartelmann

TL;DR
This paper presents an advanced algorithm that combines weak and strong lensing data to accurately reconstruct galaxy cluster density profiles, tested on simulations and applied to the cluster MS 2137, enhancing our understanding of dark matter halos.
Contribution
The paper introduces an improved, regularized algorithm for joint weak and strong lensing analysis that preserves linearity and enhances resolution, enabling detailed density profile reconstructions.
Findings
Successfully reproduces simulated lensing mass distributions.
Provides a parameter-free, qualitative match with previous studies of MS 2137.
Demonstrates the method's effectiveness on both idealized and realistic data.
Abstract
AIMS. While weak lensing cannot resolve cluster cores and strong lensing is almost insensitive to density profiles outside the scale radius, combinations of both effects promise to constrain density profiles of galaxy clusters well, and thus to allow testing of the CDM expectation on dark-matter halo density profiles. METHODS. We develop an algorithm further that we had recently proposed for this purpose. It recovers a lensing potential optimally reproducing observations of both strong and weak-lensing effects by combining high resolution in cluster cores with the larger-scale information from weak lensing. The main extensions concern the accommodation of mild non-linearity in inner iterations, the progressive increase in resolution in outer iterations, and the introduction of a suitable regularisation term. The linearity of the method is essentially preserved. RESULTS. We…
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