LensPerfect: Exact Massmap Solutions for Gravitationally Lensed Multiple Images

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Scientific paper

A new approach to massmap reconstruction is presented that delenses all multiple images of each lensed galaxy back to the exact same source position. Image sizes, shapes, and orientations may also be perfectly constrained. The massmap solution is obtained instantaneously without need for iterations. However, there is no unique solution given a set of multiple images, and other solutions may be obtained by adjusting the free parameters: the source positions and the basis function and its parameter(s). From these exact solutions, the user may choose that which best fits other observables: shears of singly-imaged galaxies, number count depletion, etc. No assumptions are made about the form of the massmap (although a basis function must be selected). And even though LensPerfect makes no assumptions about mass tracing light, we show that it is able to faithfully reproduce the significant features found in previous analyses of the lensing cluster Abell 1689. This new method is made possible by a recent advance in mathematics that allows for curl-free interpolation of a vector field (here, the image deflection) given at scattered data points (the image positions). LensPerfect is extremely straightforward and easy to use, and the software is made publicly available at http://www.iaa.es/ coe/LensPerfect/.
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ACS was developed under NASA contract NAS 5-32865, and this research is supported by NASA grant NAG5-7697. We are grateful for an equipment grant from the Sun Microsystems, Inc. This work has also been supported by the European Commission Marie Curie International Reintegration Grant 017288-BPZ and the PNAYA grant AYA2005-09413-C02.

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