Gravitational lens equation: critical solutions and magnification near folds and cusps

• Published in: Advances in Astronomy and Space Physics
• Date: 2012
• Main Authors: Alexandrov, A.N., Koval, S.M., Zhdanov, V.I.
• Format: Article
• Language: English
• Published: Головна астрономічна обсерваторія НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119397
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Gravitational lens equation: critical solutions and magnification near folds and cusps / A.N. Alexandrov, S.M. Koval, V.I. Zhdanov // Advances in Astronomy and Space Physics. — 2012. — Т. 2., вип. 2. — С. 184-187. — Бібліогр.: 12 назв. — англ.

We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an introduction of a proximity parameter characterising the cl...