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Random scattering approach to gravitational microlensingSmall random deflections of a narrow beam of radiation due to gravitational scattering by stars randomly distributed within the deflector plane are considered. Using a Fouriere transform method, the probability of scattering is obtained as a function of scattering angle for an arbitrary number of stars with an arbitrary distribution of masses. The probability density, expressed in proper units, depends on one parameter only: the effective number of stars. At small scattering angles the density is a Gaussian, and at large angles it falls off as the scattering angle to the minus fourth power. The probability distribution for scatterings is simply related to the angular distribution of the surface brightness of a macroimage, averaged over many microimages. The isophotes are ellipses, with the ratio of the major axis to the minor axis, determined by the dimensionless surface mass density and the shear of the lensing system. The number of stars that has to be included in the modeling of microlensing is proportional to the amplification due to the macrolens, and to the square of the dimensionless surface mass density.
Document ID
19860061788
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Katz, N.
(Princeton Univ. Observatory NJ, United States)
Balbus, S.
(Princeton Univ. Observatory NJ, United States)
Paczynski, B.
(Princeton University Observatory, NJ, United States)
Date Acquired
August 12, 2013
Publication Date
July 1, 1986
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 306
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
86A46526
Funding Number(s)
CONTRACT_GRANT: NGL-31-001-007
CONTRACT_GRANT: NAGW-765
Distribution Limits
Public
Copyright
Other

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