Journal
ASTROPHYSICAL JOURNAL
Volume 742, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0004-637X/742/1/15
Keywords
cosmology: theory; dark matter; gravitational lensing: weak; large-scale structure of universe; methods: numerical
Categories
Funding
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan [467]
- MEXT [21111006]
- World Premier International Research Center Initiative (WPI Initiative) from MEXT of Japan
- JSPS [23740161]
- Grants-in-Aid for Scientific Research [10J02533, 18072004, 23540324, 22111501, 23740161] Funding Source: KAKEN
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We perform high-resolution ray-tracing simulations to investigate probability distribution functions (PDFs) of lensing convergence, shear, and magnification on distant sources up to the redshift of z(s) = 20. We pay particular attention to the shot noise effect in N-body simulations by explicitly showing how it affects the variance of the convergence. We show that the convergence and magnification PDFs are closely related to each other via the approximate relation mu = (1 - kappa)(-2), which can reproduce the behavior of PDFs surprisingly well up to the high magnification tail. The mean convergence measured in the source plane is found to be systematically negative, rather than zero as often assumed, and is correlated with the convergence variance. We provide simple analytical formulae for the PDFs, which reproduce simulated PDFs reasonably well for a wide range of redshifts and smoothing sizes. As explicit applications of our ray-tracing simulations, we examine the strong-lensing probability and the magnification effects on the luminosity functions of distant galaxies and quasars.
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