Statistics – Computation
Scientific paper
Apr 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...327..526s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 327, April 15, 1988, p. 526-543.
Statistics
Computation
65
Cosmology, Gravitational Effects, Light Speed, Monte Carlo Method, Radiative Transfer, Universe, Astronomical Models, Computational Astrophysics, Probability Density Functions, Red Shift
Scientific paper
The propagation of light bundles in a clumpy universe is studied by combining a Monte Carlo method used by Refsdal (1970), with recent analytical results. A simple numerical procedure allows the authors to study a large number of light bundles. The authors derive an integral equation for the angular diameter distance measured through the "empty cones" of a clumpy universe. The probability distribution for the linear component of the cumulative shear along light rays is derived. The numerical simulations are used to find the fraction of empty cones in a clumpy universe. The high-amplification tail of the amplification probability distribution is compared to analytic results. The distribution of the ellipticity of images of infinitesimal circular sources is derived. Finally, the authors briefly discuss the various methods to study nonlinear statistical lens problems.
Schneider Peter
Weiss Alexander
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