Cosmic Evolution Impressions on Lensing Maps

I investigate through simulations the redshift dependence of several lensing measures for two cosmological models, a flat universe with a cosmological constant (ΛCDM), and an open universe (OCDM). I argue that quintessence models can be seen as an intermediate model between these two models under the weak gravitational lensing perspective. I calculate for the convergence field the angular power spectrum, the variance and higher order moments, the probability distribution function, and the Minkowski functionals. I find that in the redshift range examined (from z = 0.7 to z = 3 various statistics show an increase of the non-Gaussianity of the lensing maps for closer sources. Lensing surveys of higher redshift are expected to be less non-Gaussian than shallow ones because of the non-linear evolution of the density field, and the central limit theorem.