Strong Lensing Reconstruction

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" component...

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Published inThe Astrophysical journal Vol. 534; no. 1; pp. L19 - L22
Main Author Pen, Ue-Li
Format Journal Article
LanguageEnglish
Published United States IOP Publishing 01.05.2000
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ISSN1538-4357
0004-637X
1538-4357
DOI10.1086/312652

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Abstract 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 orthogonal noise properties. By combining these solutions, one can increase the signal-to-noise ratio by 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 ratio. 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.
AbstractList 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 orthogonal noise properties. By combining these solutions, one can increase the signal-to-noise ratio by 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 ratio. 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.
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 orthogonal noise properties. By combining these solutions, one can increase the signal-to-noise ratio by 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 ratio. 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.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 orthogonal noise properties. By combining these solutions, one can increase the signal-to-noise ratio by 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 ratio. 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.
Author Pen, Ue-Li
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CitedBy_id crossref_primary_10_1086_338838
crossref_primary_10_1103_PhysRevLett_95_241302
crossref_primary_10_1086_317273
crossref_primary_10_1016_j_newast_2004_01_006
crossref_primary_10_1111_j_1365_2966_2006_10056_x
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