Cosmological Simulation of Gravitational Weak Lensing in Flat Models

Physics

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Scientific paper

Statistical averages of optical quantities (the convergence, shear and amplification) for ray bundles passing through cosmological inhomogeneities are derived in flat models (the S model with (Ω0, λ0) = (1.0, 0) and the L model with (0.2, 0.8)). Gravitational weak lensing is analyzed by directly solving null-geodesic equations. The evolution of the spatial mass distribution is given by N-body simulations in a tree-code. In the L model all particles are regarded as equivalent (compact) lens objects with a galactic size and in the S model particles consist of compact lens objects with a galactic size and clouds with weaker lens powers. The compact lens objects in the two models are assumed to have the same mass density. It is found as a result that the ratios of optical quantities in the S model to those in the L model increase with the separation angle (θ) of rays. If θ ~ 2 arcsec and 360 arcsec, the ratios are ~ 1.5 and ~ 2.5, respectively, for sources at z = 1.

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