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Nonlinear reconstruction

Nov 29, 2016

8 pages

Published in:

Phys.Rev.D 96 (2017) 12, 123502

Published: Dec 1, 2017

e-Print:

1611.09638 [astro-ph.CO]

DOI:

10.1103/PhysRevD.96.123502

View in:

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Abstract: (APS)

We present a direct approach to nonparametrically reconstruct the linear density field from an observed nonlinear map. We solve for the unique displacement potential consistent with the nonlinear density and positive definite coordinate transformation using a multigrid algorithm. We show that we recover the linear initial conditions up to the nonlinear scale (rδrδL>0.5 for k≲1 h/Mpc) with minimal computational cost. This reconstruction approach generalizes the linear displacement theory to fully nonlinear fields, potentially substantially expanding the baryon acoustic oscillations and redshift space distortions information content of dense large scale structure surveys, including for example SDSS main sample and 21 cm intensity mapping initiatives.

Note:

7 pages, 7 figures, published version

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Figures(7)

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