Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...403..517w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 403, no. 2, p. 517-529.
Statistics
Computation
88
Ellipticity, Galactic Structure, Gravitational Lenses, Quasars, Astronomical Models, Bl Lacertae Objects, Computational Astrophysics, Image Analysis
Scientific paper
We model a galaxy lens by means of a simple analytical potential with three parameters: velocity dispersion, ellipticity, and core radius. We compute lensing cross sections for a wide range of these parameters and integrate over the distribution of velocity dispersion and ellipticity appropriate to galaxies. The model predictions are in good agreement with the observations. The number of lensed quasars as a function of apparent magnitude and the relative numbers of doubly imaged and quadruply imaged quasars are predicted satisfactorily. Magnification bias is found to be extremely large at bright magnitudes, particularly for quadruply imaged configurations. The presence of an even number of images in nearly all examples of multiply imaged quasars discovered so far, despite the odd number expected theoretically, can be explained through demagnification of an image in the core of the lens. This requires lens core radii to be smaller than about 200 pc.
Narayan Ramesh
Wallington Sylvanie
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