Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 56, p. 25-34 (2017)
Dynamic systems that describe Chang-Refsdal gravitational lens
Alexandrov A.N., Ph.D.
Astronomical Observatory of Taras Shevchenko National University of Kyiv, Kyiv
On the example of Chang-Refsdal lens, a new approach to in-depth study of gravitational lens models is developed. In the complex formulation of the theory of gravitational lensing, a number of vector fields are defined on the source and image planes. The mapping of vector fields from each of these planes to another is considered, as well as elements of qualitative analysis of dynamical systems associated with them. For the Chang-Refsdal lens the lines of the constant value of the lens mapping Jacobian are studied on both planes, and an image view of the polar coordinates grid of the source plane is obtained.
Schneider, P., Ehlers, J., Falco, E. E. 1992, Berlin: Springer
Aleksandrov, O., Zhdanov, V. 2016, Visnyk Kyiv. un-tu.Astronomiia, 53, 6
Aleksandrov, O. 2007, Visnyk Kyiv. un-tu.Astronomiia, 44, 21
Bautyn, N. N., Leontovych, E. A. 1978, M.: Nauka
Chang, K., Refsdal, S. 1984, AstronAstrophys, 132, 168
Witt, H.J. 1990, AstronAstrophys, 236, 311
An, J. H., Evans, N.W. 2006, MNRAS, 369, 1, 317
Petters, A. O., Levine, H., Wambsganss, J. 2001, Boston:Birkhäuser