Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..591d&link_type=abstract
General Relativity and Gravitation, vol. 13, June 1981, p. 591-597.
Astronomy and Astrophysics
Astronomy
3
Elliptical Galaxies, Gravitational Effects, Gravitational Lenses, Image Intensifiers, Imaging Techniques, Mass Distribution, Astronomical Models, Focusing, Gravitational Fields, Opacity
Scientific paper
The gravitational lens effects associated with a transparent mass distribution are quite different from those of the well-known opaque sphere. It has been shown that any spherical galaxy whose mass distribution, when projected onto the plane of the sky, decreases outward from the center of the galaxy and diverges less rapidly than the inverse of the radial distance as the radial distance approaches 0, must always produce an odd number of images, usually one or three, of a source located behind the galaxy. Using optical scalar techniques, the amplification of each image can readily be obtained. For a given source and galaxy, a dimensionless focal length, a function of impact parameter, and a dimensionless distance factor, depending on lens parameters and source distance can be defined. The central value of the ratio of these quantities determines the multiplicity of the images. The mass distribution of the galaxy is a crucial function, and the manner in which this affects the various focal lengths is shown in some detail.
Dyer Charles C.
Roeder Robert C.
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