Non-parametric inversion of strong lensing systems

Details Non-parametric inversion of strong lensing systems Non-parametric inversion of strong lensing systems

2004-08-24

arxiv.org/abs/astro-ph/0408418v2

Mon.Not.Roy.Astron.Soc.360:477-491,2005

Astronomy and Astrophysics

Astrophysics

This is the accepted version in MNRAS. Thsi includes improvements suggested by the referee and one new plot. Additional materi

Scientific paper

10.1111/j.1365-2966.2005.09021.x

We revisit the issue of non-parametric gravitational lens reconstruction and present a new method to obtain the cluster mass distribution using strong lensing data without using any prior information on the underlying mass. The method relies on the decomposition of the lens plane into individual cells. We show how the problem in this approximation can be expressed as a system of linear equations for which a solution can be found. Moreover, we propose to include information about the null space. That is, make use of the pixels where we know there are no arcs above the sky noise. The only prior information is an estimation of the physical size of the sources. No priors on the luminosity of the cluster or shape of the halos are needed thus making the results very robust. In order to test the accuracy and bias of the method we make use of simulated strong lensing data. We find that the method reproduces accurately both the lens mass and source positions and provide error estimates.

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