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An analytical approach to gravitational lensing by an ensemble of axisymmetric lensesThe problem of gravitational lensing by an ensemble of identical axisymmetric lenses randomly distributed on a single lens plane is considered and a formal expression is derived for the joint probability density of finding shear and convergence at a random point on the plane. The amplification probability for a source can be accurately estimated from the distribution in shear and convergence. This method is applied to two cases: lensing by an ensemble of point masses and by an ensemble of objects with Gaussian surface mass density. There is no convergence for point masses whereas shear is negligible for wide Gaussian lenses.
Document ID
19900052174
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Lee, Man Hoi
(Princeton Univ. Observatory NJ, United States)
Spergel, David N.
(Princeton University Observatory, NJ, United States)
Date Acquired
August 14, 2013
Publication Date
July 1, 1990
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 357
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
90A39229
Funding Number(s)
CONTRACT_GRANT: NAGW-765
Distribution Limits
Public
Copyright
Other

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