Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...247..269s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 247, no. 2, July 1991, p. 269-275.
Astronomy and Astrophysics
Astrophysics
14
Galaxies, Gravitational Lenses, Light Transmission, Mass Distribution, Cosmology, Numerical Integration, Trigonometric Functions
Scientific paper
The use of elliptical mass distributions in gravitational lens theory is considered because previous studies have shown that the deflection angle of a light ray traversing an elliptical lens can be obtained only by fairly costly numerical integration. A multiple expansion of an elliptial mass distribution is carried out, and the deflection potential is obtained as a series of trigonometric functions. The problem is thus reduced to computing (and interpolating) a finite number of 1D functions. For a specific elliptical mass distribution, this process is carried out explicitly. In this case, an approximate matter distribution is constrained, which deviates from the original one by as little as desired (determined by the order of truncation of the expansion), and for which the exact deflection angle can be easily calculated. The corresponding equations are found, and fairly explicit formulas are given.
Schneider Peter
Weiss Alexander
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