Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-10-28
Astrophysical Journal Letters, 534 (2000), L19 - L22
Astronomy and Astrophysics
Astrophysics
final accepted version for ApJL
Scientific paper
10.1086/312652
We present a general linear algorithm for measuring the surface mass density 1-\kappa from the observable reduced shear g=\gamma/(1-\kappa) in the strong lensing regime. We show that in general, the observed polarization field can be decomposed into ``electric'' and ``magnetic'' components, which have independent and redundant solutions, but perfectly orthogonal noise properties. By combining these solutions, one can increase the signal-to-noise ratio by \sqrt{2}. The solutions allow dynamic optimization of signal and noise, both in real and Fourier space (using arbitrary smoothing windows). Boundary conditions have no effect on the reconstructions, apart from its effect on the signal-to-noise. Many existing reconstruction techniques are recovered as special cases of this framework. The magnetic solution has the added benefit of yielding the global and local parity of the reconstruction in a single step.
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