A Multi-Resolution Weak Lensing Reconstruction Method

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We present a regularized maximum-likelihood method for reconstructing two dimensional mass maps using weak gravitational lensing data. To utilize all the shear information, we employ an iterative inverse method with a properly selected regularization coefficient which fits for the deflection potential at the position of each galaxy. The expectation value of the ellipticities of the sources is estimated as a function of the deflection potential via realistic simulations. By producing mass maps with multiple resolutions in the different parts of the observed field, we can achieve a uniform signal to noise level by increasing the resolution in regions of higher distortion or regions with an over-density of background galaxies. In addition, we are able to better study the sub-structure of massive clusters at a resolution which is not attainable in the rest of the observed field. We apply our technique to the simulated data and to a four square degree field obtained by the Deep Lens Survey (R < 26).

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