Gravitational lens inversion using the maximum entropy method

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Computerized Simulation, Error Analysis, Gravitational Lenses, Image Processing, Image Reconstruction, Inversions, Maximum Entropy Method, Goodness Of Fit, Hubble Constant, Magnification, Weighting Functions

Scientific paper

We present a one-dimensional algorithm for inverting extended gravitational lens images using the maximum entropy method (MEM). We test the method with simulations and find that it accurately inverts the one-dimensional equivalent of ring-type images and is effective at solving for the unknown lens parameters. When the source is larger than the lens critical radius, there are systematic errors in the reconstruction in the form of discontinuities or 'glitches' at the boundaries separating different image multiplicities. We show that these errors are intrinsic to MEM when applied to the lensing problem, and suggest that similar troubles may be generic to all image reconstruction methods. The glitches can be removed by filtering the source to remove unphysical high-frequency power. We conclude that MEM is a promising method for lens inversion.

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