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On the probability of magnification by cosmologically distributed gravitational lensesAn 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.
Document ID
19930039954
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Pei, Yichuan C.
(Princeton Univ. Observatory, NJ, United States)
Date Acquired
August 16, 2013
Publication Date
January 20, 1993
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 403
Issue: 1
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
93A23951
Funding Number(s)
CONTRACT_GRANT: NAGW-2448
Distribution Limits
Public
Copyright
Other

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