Perturbation theory of multi-plane lens effects in terms of mass ratios: Approximate expressions of lensed-image positions for two lens planes

@article{Izumi2010PerturbationTO,
  title={Perturbation theory of multi-plane lens effects in terms of mass ratios: Approximate expressions of lensed-image positions for two lens planes},
  author={Koji Izumi and Hideki Asada},
  journal={arXiv: Cosmology and Nongalactic Astrophysics},
  year={2010}
}
  • K. Izumi, H. Asada
  • Published 2010
  • Physics
  • arXiv: Cosmology and Nongalactic Astrophysics
Continuing work initiated in an earlier publication (Asada, MNRAS. 394 (2009) 818), we make a systematic attempt to determine, as a function of lens and source parameters, the positions of images by multi-plane gravitational lenses. By extending the previous single-plane work, we present a method of Taylor-series expansion to solve the multi-plane lens equation in terms of mass ratios except for the neighborhood of the caustics. The advantage of this method is that it allows a systematic… Expand

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