An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses

Details An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...357...23l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 357, July 1, 1990, p. 23-31. Research supported by NSF.

Statistics

Computation

8

Gravitational Lenses, Mass Spectra, Monte Carlo Method, Probability Density Functions, Computational Astrophysics, Mass Distribution, Universe

Scientific paper

The 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.

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