Statistics – Computation
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...403....7p&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 403, no. 1, p. 7-19.
Statistics
Computation
24
Cosmology, Gravitational Lenses, Magnification, Universe, Computational Astrophysics, Mathematical Models, Point Sources, Probability Distribution Functions, Spatial Distribution
Scientific paper
An analytical method for calculating the statistical properties of source magnification caused by gravitational lenses randomly distributed throughout the universe is presented. Two lenses are considered at different redshifts to show that such an assumption is a statistically adequate approximation. The derived general formulas are applied to point-mass lenses with both point and extended sources. Analytical results of the magnification probability for point sources are accurate to within 10 percent in comparison with the available numerical simulations to moderate redshifts of less than about 2. In terms of the flux conservation, the results are accurate to within 18 percent at a redshift of 6 with respect to the Dyer-Roeder model of a clumpy universe. It is concluded that the present formulas are adequate for statistical studies of magnification by random gravitational lenses on cosmological scales.
No associations
LandOfFree
On the probability of magnification by cosmologically distributed gravitational lenses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the probability of magnification by cosmologically distributed gravitational lenses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the probability of magnification by cosmologically distributed gravitational lenses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1776372