Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-10-15
Mon.Not.Roy.Astron.Soc. 356 (2005) 1409-1428
Astronomy and Astrophysics
Astrophysics
to appear in MNRAS, including 4 figures, typo corrected, essentially identical to the version to be published
Scientific paper
10.1111/j.1365-2966.2004.08581.x
When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local azimuthal behaviour of the affecting perturbations. This provides a common mathematical groundwork for understanding problems such as the close-wide (d <-> 1/d) separation degeneracy of binary lens microlensing lightcurves and the shear-ellipticity degeneracy of quadruple image lens modelling.
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