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Weak lensing analysis in three dimensions
Author(s) -
P. G. Castro,
Alan Heavens,
T. Kitching
Publication year - 2005
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology
Language(s) - English
Resource type - Journals
eISSN - 1550-7998
pISSN - 1550-2368
DOI - 10.1103/physrevd.72.023516
Subject(s) - weak gravitational lensing , gravitational lensing formalism , physics , strong gravitational lensing , spherical harmonics , spectral density , dark energy , redshift , bessel function , sky , cosmology , astrophysics , formalism (music) , statistical physics , optics , galaxy , quantum mechanics , mathematics , statistics , art , musical , visual arts
We present a comprehensive full-sky 3-dimensional analysis of theweak-lensing fields and their corresponding power spectra. Using the formalismof spin-weight spherical harmonics and spherical Bessel functions, we relatethe two-point statistics of the harmonic expansion coefficients of the weaklensing shear and convergence to the power spectrum of the matter densityperturbations, and derive small-angle limits. Such a study is relevant in viewof the next generation of large-scale weak lensing surveys which will providedistance information about the sources through photometric redshifts. Thisopens up the possibility of accurate cosmological parameter estimation via weaklensing, with an emphasis on the equation of state of dark energy.Comment: 23 pages, 4 figures, accepted by Phys.Rev.D; replaced with revised version, minor corrections, all figures done with better samplin

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