The ring cycle: an iterative lens reconstruction technique applied to MG1131 + 0456

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Abstract
We describe a new technique for the analysis of well-resolved gravitational lens images. This method allows us to solve for the brightness distribution of the unlensed source as well as a parametrized model of the lens. Our algorithm computes a figure of merit for a lens model based on the scatter in the surface brightnesses of image elements that, according to the model, come from the same source element. Minimization of the figure of merit leads to an optimum solution for the source and the lens. We present a successful application of the method to VLA maps of the ‘Einstein ring’ radio source MG1131 + 0456 observed by Hewitt et al. The inversion gives a normal galaxy-like elliptical potential for the lens and an ordinary double-lobed structure for the background radio source. The success of this procedure provides strong support for Hewitt et al.'s conclusion that MG1131 + 0456 is a gravitational lens.

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