Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26as..109..597d&link_type=abstract
Astronomy and Astrophysics Supplement, Vol.109, NO. 3/MAR, P. 597, 1995
Astronomy and Astrophysics
Astrophysics
13
Scientific paper
For the inversion of the lens equation, a method using contour plots has been proposed by Schramm & Kayser (1987). This method is discussed further and its deeper properties are used to construct routines, which allow both efficient and safe searches. A new interpretation of the routines of Schramm and Kayser is presented which overcomes some of its limits. A method is proposed, which stores the data obtained by a contour plot in a suitable data structure, tries to test the data on consistency with the critical curves and caustics and corrects the data if possible. It is shown how these routines can be used for calculating images of extended sources and point sources, light curves and for analyzing the images of an extended source. For the transport of images, Powell's routine is introduced. Its properties are the base for constructing the routines mentioned above. Since `image' gets different meanings, different expressions for `images' of points, curves and areas are defined. Finally, it is shown that contour plot methods do not miss bright area images.
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