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Gravitational lens under perturbations: symmetry of perturbing potentials with invariant caustics
Authors:Jin H An
Institution:Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA
Abstract:When the gravitational lensing potential can be approximated by that of a 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 ? d ?1)  separation degeneracy of binary lens microlensing light curves and the shear–ellipticity degeneracy of quadruple image lens modelling.
Keywords:gravitational lensing  methods: analytical
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